chunk_uid stringlengths 40 40 | chunk_type stringclasses 2
values | chunk_index int64 0 6.71k | total_chunks int64 1 6.71k | section_title stringlengths 1 157 | embed_text stringlengths 1 83.3k | spans dict | paper_doi stringlengths 0 63 | paper_id_arxiv stringlengths 9 16 | title stringlengths 7 245 | authors listlengths 1 768 | categories listlengths 1 7 | year int64 2k 2.02k | language stringclasses 2
values | discipline stringclasses 8
values | dense_vector listlengths 1.02k 1.02k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
aa72897fb6bf840cee630e38decfef594da1607e | abstract | 0 | 78 | Abstract | We comprehensively study the charged-Higgs contributions to the leptonic
$B^-_q \to \ell \bar \nu$ ($q=u,c$) and semileptonic $\bar B \to X_q \ell
\bar\nu$ ($X_u=\pi, \rho; X_c=D,D^*$) decays in the type-III two-Higgs-doublet
model (2HDM). We employ the Cheng-Sher ansatz to suppress the tree-level
flavor-changing neutr... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.0428975485265255,
-0.014698360115289688,
-0.03719211369752884,
-0.038168445229530334,
-0.02730676159262657,
-0.09238532930612564,
0.03252403065562248,
0.03465975448489189,
-0.004828262608498335,
0.04485021159052849,
-0.04045671969652176,
0.018779119476675987,
0.0026257967110723257,
0.02... |
731565ddbd7bfcb60f5b4c2624a35f57e9d92fe2 | abstract | 1 | 78 | Abstract | In addition, the
$q^2$-dependent $A^{\pi,\tau}_{FB}$ and $A^{D,\tau}_{FB}$ can be very sensitive
to the charged-Higgs effects and have completely different shapes from the SM. | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.009893097914755344,
0.024347547441720963,
-0.019770940765738487,
-0.05101390928030014,
-0.0004760147712659091,
-0.08060929924249649,
0.009115074761211872,
0.010358386673033237,
0.03575855493545532,
0.024759441614151,
-0.03908422216773033,
0.013165371492505074,
0.012471253052353859,
-0.0... |
35d6a3c361a53a4b5ac5e4c55e8e8f908f05b948 | subsection | 2 | 78 | Introduction | In spite of the success of the standard model (SM) in particle physics, we are still uncertain as to the solutions for baryongenesis, neutrino mass, and dark matter. It is believed that the SM is an effective theory at the electroweak scale, and thus there should be plenty of room to explore the new physics effects in ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 506,
"openalex_id": "",
"raw": "T. D. Lee, Phys. Rev. D 8, 1226 (1973).",
"source_ref_id": "376a0f8c029beaf5f6bdb904df0bb4976a408c04",
"start": 369
},
{
"arxiv_id": "",
"doi": "",
"end": 506,
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.027807334437966347,
-0.002459087176248431,
-0.04474813491106033,
-0.030936041846871376,
0.001953533850610256,
-0.08284205198287964,
0.03827705606818199,
0.0173681378364563,
0.0067686899565160275,
0.007482187822461128,
-0.05146341025829315,
0.033728983253240585,
0.005845339968800545,
0.0... |
82c6978a12dbb66f0bc1cbb9433dbdd616fbe888 | subsection | 3 | 78 | Introduction | Based on these observations, possible extensions of the SM for explaining the excesses are studied in , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , .Moreover, when |V_{ub}|\approx 3.72\times 10^{-3} is taken from the results of lattice QCD and light-cone sum rules (LCSRs) , , th... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 189,
"openalex_id": "",
"raw": "S. Fajfer, J. F. Kamenik, I. Nisandzic and J. Zupan, Phys. Rev. Lett. 109, 161801 (2012) [arXiv:1206.1872 [hep-ph]].",
"source_ref_id": "3587bcedf59242b3df574c913f69f7f57a887726",
"start... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.0006276756757870317,
-0.02541228011250496,
-0.03360831364989281,
-0.04362059757113457,
-0.007020810153335333,
-0.07564159482717514,
0.008974427357316017,
0.04566579312086105,
0.004670365247875452,
0.02367234043776989,
-0.05042773112654686,
0.024404946714639664,
-0.020543500781059265,
0.... |
f594d9d83a2ccf3d9e272156efa0607fd10b634f | subsection | 4 | 78 | Introduction | In order to naturally suppress the tree-induced \Delta F=2 (F=K,B_{d(s)},D) processes, we can adopt the Cheng-Sher ansatz , where the FCNC effects are parametrized to be the square-root of the production involving flavor masses. We find that the same quark FCNC effects also appear in the charged-Higgs couplings to the ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 228,
"openalex_id": "",
"raw": "T. P. Cheng and M. Sher, Phys. Rev. D 35, 3484 (1987).",
"source_ref_id": "d1c78ebe566e5f4845953b32979a6d600a8d005f",
"start": 0
},
{
"arxiv_id": "",
"doi": "",
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.05124499276280403,
-0.021227452903985977,
-0.06952715665102005,
-0.024325348436832428,
-0.007504385430365801,
-0.0394333116710186,
-0.003736932063475251,
0.06519315391778946,
0.0023310519754886627,
0.05289313569664955,
-0.04584275186061859,
-0.0076684365049004555,
0.005295417737215757,
... |
c287c5fc929281f7e02e74fd61257eec9fd4f7f7 | subsection | 5 | 78 | Introduction | Although the neutral current contributions to b\rightarrow s \gamma are much smaller than those from the charged-Higgs, for completeness, we also formulate their contributions in the paper. In addition, the upper bound of BR(B^-_c \rightarrow \tau \bar{\nu }) < 10\% obtained in is also taken into account when we inves... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1088/1367-2630/18/1/019501",
"end": 378,
"openalex_id": "https://openalex.org/W2256394812",
"raw": "A. G. Akeroyd and C. H. Chen, Phys. Rev. D 96, no. 7, 075011 (2017) [arXiv:1708.04072 [hep-ph]].",
"source_ref_id": "5fc1579fcf31e8... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.014299712143838406,
-0.011018562130630016,
-0.03806134685873985,
-0.016085268929600716,
-0.011033822782337666,
-0.08228820562362671,
0.04807267338037491,
0.024021076038479805,
0.009393247775733471,
0.04431842640042305,
-0.03497859090566635,
0.02177768386900425,
0.02394476905465126,
0.01... |
d848801c7b06343f42b5f7e79aed8d8d7477bfd6 | subsection | 6 | 78 | Yukawa couplings in the generic 2HDM | To study the charged-Higgs contributions to the b \rightarrow q \ell \bar{\nu } (q=u,c) decays in the type-III 2HDM, we analyze the relevant Yukawa couplings in this section, especially, the charged-Higgs couplings to ub and cb, where they can make significant contributions to the leptonic and semileptonic B decays. Th... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01813911460340023,
-0.002301714848726988,
-0.04100751876831055,
-0.011083319783210754,
-0.028955457732081413,
-0.05040507763624191,
0.03868864104151726,
0.04100751876831055,
-0.005556915421038866,
0.007154957856982946,
-0.021724222227931023,
0.026194162666797638,
0.029092760756611824,
0... |
0d044fcb551720bd91434f40ca4ce947d91ccc67 | subsection | 7 | 78 | Formulation of | Since the charged-Higgs couplings to the quarks and the leptons in type-III 2HDM were derived before , we briefly introduce the relevant pieces in this section.
We begin to write the Yukawa couplings in the type-III model as:-{\cal L}_Y &= \bar{Q}_L Y^d_1 D_R H_1 + \bar{Q}_L Y^{d}_2 D_R H_2
+ \bar{Q}_L Y^u_1 U_R \tilde... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1103/physrevd.96.019902",
"end": 160,
"openalex_id": "https://openalex.org/W2734885404",
"raw": "R. Benbrik, C. H. Chen and T. Nomura, Phys. Rev. D 93, no. 9, 095004 (2016) [arXiv:1511.08544 [hep-ph]].",
"source_ref_id": "256d12d49... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03182992339134216,
-0.019104057922959328,
-0.021484436467289925,
-0.023040836676955223,
0.00846102274954319,
-0.02586372196674347,
0.06115740165114403,
0.05746476352214813,
-0.004268658347427845,
0.021972719579935074,
-0.04391492158174515,
0.04885878413915634,
-0.01325992587953806,
0.00... |
21952fd095494f9ae00429490f0c0de518b5f3e7 | subsection | 8 | 78 | Formulation of | We introduce unitary matrices U^f_L and U^f_R to diagonalize the fermion mass matrices by following f^p_L = U^f_L f^w_L and f^p_R = U^f_R f^w_R, where f^{p(w)}_{L,R} denote the physical (weak) eigenstates. Then, the Yukawa couplings of H^\pm can be written as :-{\cal L}^{H^\pm }_Y &= \sqrt{2} \bar{u}_R \left[ - \frac{ ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1103/physrevd.96.019902",
"end": 1085,
"openalex_id": "https://openalex.org/W2734885404",
"raw": "R. Benbrik, C. H. Chen and T. Nomura, Phys. Rev. D 93, no. 9, 095004 (2016) [arXiv:1511.08544 [hep-ph]].",
"source_ref_id": "256d12d4... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.022772781550884247,
-0.025779642164707184,
-0.046217143535614014,
-0.04093605652451515,
0.019567497074604034,
0.015019046142697334,
0.05922143906354904,
0.05320771783590317,
-0.009058743715286255,
0.042889755219221115,
-0.06575411558151245,
0.006399120669811964,
0.007868209853768349,
0.... |
4f388bd29827f48015eea59944344058f67930bf | subsection | 9 | 78 | Formulation of | Nevertheless, even with a massive neutrino case, the influence on hadronic processes is small and negligible. In addition, to simplify the numerical analysis, in this work we use the scheme with {\bf X}^\ell _{ij} = (m_{\ell _i} /v ) \chi ^\ell _{\ell _i} \delta _{\ell _i \ell _j}, i.e. \chi ^\ell _{\ell _i \ell _j} = ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.0058088102377951145,
0.00146269123069942,
-0.028712227940559387,
-0.013295806013047695,
-0.032892435789108276,
-0.04869789257645607,
0.01717851683497429,
0.052969638258218765,
0.01005385722965002,
0.014844313263893127,
-0.04738585650920868,
0.021785899996757507,
-0.0004724664322566241,
... |
1fc4dad4b89e2b17696f25bd8da7f5fa78d0d3b1 | subsection | 10 | 78 | Body | From Eq. (REF ), it can be seen that the coupling u_{iR} b_L H^\pm (u_i=u,c) in the type-II 2HDM (i.e. {\bf X}^{d,u}=0) is suppressed by m_{u_i}/ (v t_\beta ) V_{u_i b}, and this effect can be neglected. However, the situation is changed in the type-III model. In addition to the disappearance of suppression factor 1/t_... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.016706205904483795,
-0.016706205904483795,
-0.0801287591457367,
-0.030177967622876167,
-0.02183249220252037,
0.009672816842794418,
-0.0000967257801676169,
0.06377346068620682,
0.017484301701188087,
-0.005564921069890261,
-0.023968445137143135,
-0.009787242859601974,
0.03213083744049072,
... |
0ede994da1de093c58aefec99c00ad2dcd851cf1 | subsection | 11 | 78 | Body | Due to m_u V_{ub} \ll \sqrt{m_u m_c} V_{cb} \ll \sqrt{m_u m_t} V_{tb}, we can simplify the C^{L}_{ub} coupling as:\frac{\sqrt{2}}{v} C^L_{ub} \approx -\sqrt{2} \frac{ \sqrt{m_u m_t} }{ v s_\beta } \chi ^{u*}_{tu} V_{tb}\,.With m_u\sim 5.4 MeV, m_t\sim 165 GeV, and v\approx 246 GeV, it can be found that \sqrt{m_u m_t}/v... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.023547789081931114,
0.008965862914919853,
-0.06269236654043198,
-0.0139333326369524,
-0.013338151387870312,
0.017275501042604446,
-0.019961444661021233,
0.02788192592561245,
0.039953410625457764,
0.008233333006501198,
-0.028080319985747337,
0.005871686153113842,
0.03082730621099472,
0.0... |
b1207052a6ee413650eba42063919af35eccccaf | subsection | 12 | 78 | Body | For clarity, we rewrite C^R_{ub} to be:\frac{\sqrt{2}}{v} C^R_{ub} &= \sqrt{2}\frac{m_b t_\beta }{v}V_{ub} \left( 1 - \frac{\chi ^R_{ub}}{s_\beta }\right)\,,
\\
\chi ^R_{ub} &= \chi ^d_{bb} + \frac{V_{ud}}{V_{ub}} \sqrt{ \frac{m_d}{m_b}} \chi ^d_{db}+ \frac{V_{us}}{V_{ub}} \sqrt{ \frac{m_s}{m_b}} \chi ^d_{sb}\,.Due to ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.014327849261462688,
-0.0017528345342725515,
-0.06451346725225449,
-0.0016774950781837106,
-0.034637078642845154,
0.025939663872122765,
-0.034972768276929855,
0.0221402645111084,
0.030975010246038437,
0.003257716540247202,
-0.03848225250840187,
0.014785608276724815,
0.029967939481139183,
... |
909392100380c34cb1a20d173775f9d47a200c20 | subsection | 13 | 78 | Body | Using the fact that |V_{cd}| \sqrt{m_d m_b}\ll V_{sc} \sqrt{m_s m_b}, V_{cb} m_b, we can formulate the C^R_{cb} coupling as:\frac{\sqrt{2}}{v} C^R_{cb} & \approx \sqrt{2} \frac{m_b t_\beta }{v} V_{cb} \left(1 - \frac{\chi ^R_{cb}}{s_\beta } \right) \,, \\
\chi ^R_{cb} &= \chi ^d_{bb} + \sqrt{\frac{m_s}{m_b}} \frac{V_{c... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.015104721300303936,
0.02053631842136383,
-0.058435436338186264,
-0.0018222930375486612,
-0.01420454028993845,
-0.00852882768958807,
0.02401498146355152,
0.024899903684854507,
0.015104721300303936,
0.010535161942243576,
-0.04577188193798065,
0.0017460065428167582,
0.0005325748934410512,
0... |
89f4b7c0428f4e53c6d867051081da4d93732a06 | subsection | 14 | 78 | Body | The decay constant associated with an axial-vector current for the B_q-meson is defined as:\langle 0 | \bar{q} \gamma ^\mu \gamma _5 b| B^-_q (p_{B_q}) \rangle = -i f_{B_q} p^\mu _{B_q} \,.Using the equation of motion, the decay constant associated with pseudoscalar current is given by:\langle 0| \bar{q} \gamma _5 b | ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.04933258518576622,
0.011562801897525787,
-0.027945980429649353,
-0.03090532496571541,
-0.002095567062497139,
-0.059614021331071854,
0.02725953422486782,
0.04008844494819641,
0.015323000028729439,
0.04042404145002365,
-0.02651206962764263,
0.026374781504273415,
0.0028163352981209755,
0.0... |
9ea15b5f4e763936a89ee6af587667aede58d221 | subsection | 15 | 78 | Body | The magnitude and the sign of C^{R,L}_{qb} in the type-III can be changed due to the new effects of \chi ^{u,d}_{ij} and \chi ^\ell _{\ell },.Before doing a detailed numerical analysis, we can numerically understand the impact of 2HDM on the B^-_q \rightarrow \ell \bar{\nu } decay as follows: taking t_\beta = 50 and m_... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.014457141049206257,
0.0014418995706364512,
-0.04437083378434181,
-0.03631450608372688,
-0.01612791419029236,
-0.07201868295669556,
0.008269942365586758,
0.05679100751876831,
0.019469458609819412,
0.023879077285528183,
-0.03860323503613472,
0.038298070430755615,
0.012893175706267357,
-0.... |
8b2f77fdecf60c4ccd0810be1f6b496c2f5e5311 | subsection | 16 | 78 | Body | The form factors for a B decay to a vector (V) meson is defined as:\langle V(p_2,\epsilon _V)|\overline{q} \gamma ^{\mu }b| \bar{B}(p_1)\rangle &= \frac{V^{B V} (q^2)}{m_{B}+m_{V}}\varepsilon ^{\mu \nu \rho \sigma }
\epsilon ^*_{V \nu }P_{\rho }q_{\sigma }, \\
\langle V(p_2,\epsilon _V)| \overline{q} \gamma ^{\mu }\gam... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.03529882803559303,
-0.0020841408986598253,
-0.05570929870009422,
0.00943488534539938,
0.01536887139081955,
0.004938632249832153,
0.010891686193645,
0.04024127498269081,
0.03938702493906021,
0.032827604562044144,
-0.013217992149293423,
0.010899313725531101,
0.026497002691030502,
-0.007272... |
bc4afb948b9e66aae16c25014ff069723fb071d5 | subsection | 17 | 78 | Body | \left( m_\ell f^{BP}_0 \frac{P\cdot q}{q^2} + (C^{R,\ell }_{qb} + C^{L,\ell }_{qb})(m_B + m_P) f^{BP}_S \right) (\bar{\ell }\nu )_{S-P}\right]\,, \\
{\cal M}^L_{V}&= -i \frac{G_F}{\sqrt{2}} V_{qb} \left\lbrace \epsilon ^*_V\cdot q \left( (C^{R,\ell }_{qb} -C^{L,\ell }_{qb} ) f^{BP}_P + 2 A^{BV}_0 \frac{m_{V} m_\ell }{q... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03173525258898735,
-0.047084126621484756,
-0.07469990104436874,
-0.011336198076605797,
0.015852367505431175,
-0.01569979451596737,
0.016310088336467743,
0.024503275752067566,
0.020627913996577263,
0.017851078882813454,
-0.0583135224878788,
0.0029675511177629232,
0.021009346470236778,
0.... |
04afde42224baaf6548bf4f424fa0174aa21c6ff | subsection | 18 | 78 | Body | Although the tree-level effect has a suppression factor m_{q^{\prime }}/v, the factor t^2_\beta can largely enhance its contribution; hence, \Delta M_{q^{\prime }} will severely bound the \chi ^d_{q^{\prime }b, bq^{\prime }} parameters.In addition to the tree-level effects, we find through box diagrams that the charged... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.029841214418411255,
-0.03007005900144577,
-0.07042282819747925,
-0.04222928360104561,
0.005827885586768389,
-0.05574631690979004,
0.015134194865822792,
0.034204501658678055,
0.025157546624541283,
0.04164954647421837,
-0.04802665859460831,
0.029963264241814613,
0.03307553753256798,
0.019... |
5b172bb33f17e617c22857cc0f9c3ae6c99d4052 | subsection | 19 | 78 | Body | \\
& \left. + (\chi ^d_{bq^{\prime }} )^2 \left( \frac{1}{m^2_H} - \frac{1}{m^2_A} \right) \tilde{Q}_2 + 2 \chi ^d_{b q^{\prime } } \chi ^{d*}_{q^{\prime } b}\left( \frac{1}{m^2_H} + \frac{1}{m^2_A} \right) Q_4\right]\,.It can be seen that when m_H= m_A, the contributions from the operators Q_2 and \tilde{Q_2} vanish. ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03348374366760254,
0.01491049025207758,
-0.03726859763264656,
-0.05213330313563347,
-0.0030217780731618404,
-0.028935814276337624,
0.037512779235839844,
0.05271323770284653,
0.017260761931538582,
0.011201945133507252,
-0.049019955098629,
-0.021869737654924393,
0.020084140822291374,
0.01... |
fc6e1f76b5e6d09bcf8d9b9d9eefb3fdf8d991f4 | subsection | 20 | 78 | Body | \\
& \left. + \left(6\hat{\eta }_{44B} B_{4q^{\prime }} + 2 \hat{\eta }_{45B} B_{5q^{\prime }} \right) C^S_4 \right]\,;x_{b(q^{\prime })}=m^2_{b(q^{\prime })}/m^2_W, the \hat{\eta }_{iB} are the QCD factors as shown in Table REF , and the factors C^S_2, \tilde{C}^S_2, and C^S_4 are defined as:C^S_{2} & = (\chi ^{d*}_{q... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.00004457620161701925,
0.008261138573288918,
-0.05321301892399788,
-0.039940278977155685,
-0.02781173586845398,
-0.015744218602776527,
0.003951310645788908,
0.023997729644179344,
0.04930747672915459,
-0.00007377719157375395,
-0.03167151287198067,
0.014531365595757961,
0.0027727829292416573... |
249026a391b9009f01dd66418b4c83d285ae268e | subsection | 21 | 78 | Phenomenological analysis | The charged current interactions in this model arise from the SM W-gauge and the charged-Higgs bosons. Based on the Yukawa couplings in Eqs. (REF ) and (REF ),
the effective Hamiltonian for b\rightarrow q \ell \bar{\nu } can be written as:{\cal H} (b\rightarrow q \ell \bar{\nu }) =\frac{G_F}{\sqrt{2}} V_{qb}& \left[(\b... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01816284842789173,
0.0020223341416567564,
-0.01129454467445612,
-0.04893285036087036,
-0.015354475937783718,
-0.04267506301403046,
0.038370925933122635,
0.012256107293069363,
0.03614254295825958,
0.04285821691155434,
-0.008112230338156223,
0.03766883164644241,
0.000049365935410605744,
0... |
b9303b81163dc8c13b4f27dd624cbc745888108c | subsection | 22 | 78 | Phenomenological analysis | (REF ) and (REF ), we investigate the charged-Higgs influence on the leptonic and semileptonic B decays in the type-III 2HDM. | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.021907752379775047,
-0.0010583916446194053,
-0.004504362121224403,
-0.012395577505230904,
-0.02085508219897747,
-0.0823218896985054,
0.024363985285162926,
0.028437362983822823,
-0.002503906609490514,
0.00871885847300291,
-0.052877627313137054,
0.01920742355287075,
-0.007864517159759998,
... |
85d1d72241dcc38df5a53944b1415e71d2cdc88d | subsection | 23 | 78 | Decay amplitudes in helicity basis | To derive the angular differential decay rate, we take the coordinates of the kinematic variables in the rest frame of the \ell \bar{\nu } invariant mass as:q &=(\sqrt{q^2}, 0 , 0, 0)\,,~ p_{M} = ( E_{M}, 0, 0, p_M)\,,~ p_{M} = \frac{\sqrt{\lambda _M}}{2\sqrt{q^2}} \,, \\
\lambda _M & = m^4_B + m^4_M + q^4 -2 m^2_B m^2... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.010861337184906006,
0.005056928377598524,
-0.02756521850824356,
-0.024026131257414818,
-0.02504819445312023,
-0.040516447275877,
0.01513264887034893,
0.008084983564913273,
0.015712326392531395,
0.03581800311803818,
-0.022134549915790558,
0.016002167016267776,
-0.03380438685417175,
0.011... |
95916669b21b1f825bb79f0e1913b2be03387674 | subsection | 24 | 78 | Decay amplitudes in helicity basis | If the spatial momentum of a particle is taken as \vec{p}= p(\sin \theta \cos \phi , \sin \theta \sin \phi , \cos \theta ), the eigenstates of \vec{\sigma } \cdot \vec{p} can be found as:\chi _+ (\vec{p}) = \left(
\begin{array}{c}
\cos \frac{\theta }{2} \\
e^{i\phi }
\sin \frac{\theta }{2}\end{array}
\right)\,, \quad \... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.0032802592031657696,
-0.01033663097769022,
-0.010008604265749454,
-0.013304120860993862,
-0.006194349844008684,
0.005927352234721184,
0.03661684691905975,
0.04906657338142395,
0.030590323731303215,
0.05538298189640045,
-0.00010608396405586973,
0.045435402542352676,
-0.01544773206114769,
... |
420aa728a799ea66066522302c7fab0f2c40dfb3 | subsection | 25 | 78 | Decay amplitudes in helicity basis | (REF ) and (REF ), the leptonic current in lepton helicity basis for the \bar{B}\rightarrow P \ell \bar{\nu } decay can be derived as:\bar{\ell }_{h=+} {e}_X (1- \gamma _5) \nu &= 2 m_\ell \beta _\ell \cos \theta _\ell \,, \\
\bar{\ell }_{h=+} (1- \gamma _5) \nu &= -2 \sqrt{q^2} \beta _\ell \,, \\
\bar{\ell }_{h=-} {e}... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.004520355258136988,
0.005618973169475794,
-0.0353388786315918,
-0.0020255770068615675,
0.010352948680520058,
-0.051299359649419785,
0.003829904366284609,
0.0046653118915855885,
0.008567694574594498,
0.03185992315411568,
-0.06500156223773956,
0.019073229283094406,
-0.022018136456608772,
0... |
bff7c6d7676fd23ed1e32b3d2b5cffbebf918b94 | subsection | 26 | 78 | Decay amplitudes in helicity basis | \end{array}
\right.The auxiliary polarizations e_Z and e_V(T) are defined as:\frac{E_{V}}{m_{V}} e^\mu _Z \equiv \epsilon ^\mu _V (L) - \frac{\epsilon \cdot q }{q^2} q^\mu \,, \quad \sqrt{\frac{\lambda _{V}}{2}} e^\mu _{V}(T) \equiv \varepsilon ^{\mu \nu \rho \sigma } \epsilon _{V\nu }(T) P_\rho q_\sigma \,.Using the h... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.014192280359566212,
-0.006981686223298311,
-0.027880962938070297,
0.0011998581467196345,
0.00843143556267023,
-0.050573352724313736,
0.023623280227184296,
-0.021257899701595306,
0.03290167450904846,
0.02952909842133522,
-0.056585993617773056,
-0.000012101112588425167,
0.0020849681459367275... |
2b9ecd7a14b16e3fe20e2a7c17f48882a1dcf95d | subsection | 27 | 78 | Decay amplitudes in helicity basis | Therefore, we write the helicity amplitudes of \bar{B}\rightarrow V \ell \bar{\nu } for the longitudinal polarization of the V-meson as:{\cal M}^{L,h=+}_{V} & = -i\frac{G_F V_{qb}}{\sqrt{2}} \left(2 m_\ell \beta _\ell h^0_{V} \cos \theta _\ell - 2 \beta _\ell \frac{\sqrt{\lambda _{V}}}{ \sqrt{q^2} } X^{0\ell }_{V}\righ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.009835366159677505,
-0.008912108838558197,
-0.03247425705194473,
0.006752753630280495,
-0.005867647007107735,
-0.058294955641031265,
-0.0032943517435342073,
-0.0199454203248024,
0.017961561679840088,
0.019090835005044937,
-0.0596683993935585,
-0.012795895338058472,
0.015161266550421715,
... |
3664dc6759f507a9cfa19fbdf370af5c14922e4d | subsection | 28 | 78 | Decay amplitudes in helicity basis | From these obtained helicity amplitudes, it can be seen that due to angular-momentum conservation, {\cal M}^{ h=+}_{P} and {\cal M}^{L(T), h=+}_{V}, which come from \bar{\ell }\gamma _\mu (1-\gamma _5)\nu , are chirality-suppressed and proportional to m_\ell . However, the charged lepton in \bar{\ell }(1-\gamma _5) \nu... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.021649610251188278,
-0.03359580039978027,
-0.018567705526947975,
-0.024609457701444626,
-0.025967326015233994,
-0.051904138177633286,
0.015775684267282486,
0.0401257760822773,
0.013639711774885654,
0.0029541265685111284,
-0.05663379281759262,
-0.010763777419924736,
-0.03939343988895416,
... |
c6a3f177c2dd8193fae0456559c61b8c2c004e4e | subsection | 29 | 78 | Angular differential decay rate, lepton helicity asymmetry, and forward-backward asymmetry | When the three-body phase space is included, the differential decay rates with lepton helicity and V polarization as a function of q^2 and \cos \theta _\ell can be obtained as:\frac{d\Gamma ^{h=\pm }_{P\ell }}{dq^2 d\cos \theta _\ell } & = \frac{\sqrt{\lambda _{P}}}{512 \pi ^3 m^3_B} \beta ^2_{\ell }\, |{\cal M}^{h=\pm... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.016340231522917747,
0.010092495009303093,
-0.025326594710350037,
-0.027905024588108063,
-0.032436348497867584,
-0.03506055101752281,
0.015546867623925209,
-0.0214970912784338,
0.010397635400295258,
0.00009571373811922967,
-0.06835129112005234,
0.03460284322500229,
-0.007353866472840309,
... |
7e97c05c6ed48091be9fcfc21ceca518725ad85b | subsection | 30 | 78 | Angular differential decay rate, lepton helicity asymmetry, and forward-backward asymmetry | We thus introduce these observables in the following discussions.When the polar angle is integrated out, the differential decay rate with each lepton helicity as a function of q^2 can be obtained as follows: For the \bar{B} \rightarrow P \ell \bar{\nu } decay, they can be expressed as:\frac{d \Gamma ^{h=\pm }_{P \ell }... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.012802200391888618,
0.023086685687303543,
-0.030578795820474625,
-0.014976590871810913,
-0.020996218547225,
-0.059296008199453354,
0.009544429369270802,
-0.011383124627172947,
0.01419838797301054,
0.034576620906591415,
-0.03591940179467201,
0.02851884625852108,
0.008697561919689178,
0.0... |
fa54b9f596718511ba6f0812d0160aa933528116 | subsection | 31 | 78 | Angular differential decay rate, lepton helicity asymmetry, and forward-backward asymmetry | (REF ) and (REF ), we define the q^2-dependent lepton helicity asymmetry as:{\cal P}^\ell _{M} (q^2) = \frac{d\Gamma ^{h=+}_{M\ell }/dq^2 - d\Gamma ^{h=-}_{M\ell }/q^2}{d\Gamma ^{h=+}_{M\ell } /dq^2+ d\Gamma ^{h=-}_{M\ell }/dq^2}\,,where the sum of V polarizations is indicated in d\Gamma ^{h=\pm }_{V\ell }. | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.0370989553630352,
-0.00879422202706337,
0.0018210065318271518,
-0.046953365206718445,
-0.02913610450923443,
-0.062482450157403946,
0.026161475107073784,
0.0020002468954771757,
0.0006568970857188106,
-0.0050835637375712395,
-0.05854678899049759,
0.031103935092687607,
0.010334926657378674,
... |
0c89a1b652262d95d5580a390941df25c8c4c43b | subsection | 32 | 78 | Angular differential decay rate, lepton helicity asymmetry, and forward-backward asymmetry | Thus, the results for the pseudoscalar and vector meson processes can be respectively formulated as:{\cal P}^\ell _{P} (q^2) & = \frac{ \frac{2}{3} \left(m^2_{\ell } -2 q^2 \right) \lambda _P ( f^{BP}_1)^2 /q^2 + 2 q^2 |X^{0\ell }_P|^2 }{ \frac{2}{3} \left( m^2_{\ell }+ 2 q^2 \right) \lambda _P (f^{BP}_1)^2/q^2 + 2 q^2... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1868,
"openalex_id": "",
"raw": "J. Kalinowski, Phys. Lett. B 245, 201 (1990).",
"source_ref_id": "a2a6f1edf213a877f90127fb3fa063bed06cbbf6",
"start": 645
},
{
"arxiv_id": "",
"doi": "",
"end"... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.010276931338012218,
-0.00777445686981082,
-0.0365605466067791,
0.0017576452810317278,
-0.010353226214647293,
-0.0178835391998291,
0.0065308487974107265,
0.015823574736714363,
-0.00801097135990858,
0.04208430275321007,
-0.03305097669363022,
0.046021122485399246,
0.02018764801323414,
-0.0... |
1d447f067ce9a42620109f5e0f77973c10548915 | subsection | 33 | 78 | Angular differential decay rate, lepton helicity asymmetry, and forward-backward asymmetry | (REF ), the lepton FBA can be defined as:A^{M,\ell }_{FB} (q^2) = \frac{\int ^{1}_{0} dz (d\Gamma _{M\ell }/dq^2dz) - \int ^{0}_{-1} dz (d\Gamma _{M\ell }/dq^2dz)}{\int ^{1}_{0} dz (d\Gamma _{M\ell }/dq^2dz) + \int ^{0}_{-1} dz (d\Gamma _{M\ell }/dq^2dz)}\,,where z=\cos \theta _\ell and d\Gamma _{M\ell }/(dq^2 dz) have... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1745,
"openalex_id": "",
"raw": "U. Nierste, S. Trine and S. Westhoff, Phys. Rev. D 78, 015006 (2008) [arXiv:0801.4938 [hep-ph]].",
"source_ref_id": "3b33c4a486d9fcfb25ed3777f0eed403e047a005",
"start": 1481
},
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.02564939111471176,
-0.018264319747686386,
-0.02241460792720318,
-0.028060220181941986,
0.00987219251692295,
-0.03259196877479553,
0.060270730406045914,
0.035765718668699265,
0.02072092331945896,
0.027831343933939934,
-0.06591634452342987,
0.021148160099983215,
0.029845455661416054,
0.017... |
34f7f25f1eb71238c3e96198b32416154b0dc329 | subsection | 34 | 78 | Charged-Higgs contributions to the | We first consider the charged-Higgs contributions to the \Delta B=2 processes, where the typical Feynman diagrams mediated by W^+-H^+, G^+-H^+, and H^+-H^+ are sketched in Fig. REF , and G^+ is the charged Goldstone boson. Since the Yukawa couplings of H^\pm to the quarks are associated with the quark masses, the verti... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.017635203897953033,
-0.012883156538009644,
-0.043020132929086685,
-0.00794041808694601,
-0.020381169393658638,
-0.008100599981844425,
0.018413227051496506,
0.05040372908115387,
-0.005034271162003279,
0.02948862314224243,
-0.037070538848638535,
0.016750391572713852,
0.011349992826581001,
... |
e3aa3063138ee09396f1ee6817f945d080d52562 | subsection | 35 | 78 | Charged-Higgs contributions to the | Unlike the type-II model, where \zeta ^u_{tt, tq^{\prime }}\ll 1 for t_\beta \sim m_t/m_b, \zeta ^u_{tt, tq^{\prime }} in the type-III model can be of order unity even at small t_\beta . We will show the impacts of these new 2HDM parameters on the flavor physics in the following analysis.
[Figure: The representative bo... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1479,
"openalex_id": "",
"raw": "D. Becirevic et al., Nucl. Phys. B 634, 105 (2002) [hep-ph/0112303].",
"source_ref_id": "f2245b18367f0db4bf6d573ca9607c4ca9d7a6a5",
"start": 491
}
]
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01443700585514307,
-0.00974421575665474,
-0.03171257674694061,
-0.03586360067129135,
-0.008477544412016869,
-0.03952626511454582,
-0.022693265229463577,
0.053017083555459976,
0.03601621091365814,
0.030384860932826996,
-0.03079691156744957,
0.023807324469089508,
0.03305555507540703,
-0.0... |
6aa0e0de20c26490e972324cac65ddd3d9c0fc30 | subsection | 36 | 78 | Charged-Higgs contributions to the | The Wilson coefficients at the scale \mu =m_b=4.6 GeV can be related to those at \mu _H scale and are given as :C_i(m_b) \approx \sum _{k,j} \left( b^{(i,j)}_k + \eta c^{(i,j)}_k \right) \eta ^{a_k} C_j(\mu _H)\,,where \mu _H = m_{H^\pm }, \eta = \alpha _s(\mu _H)/\alpha _s(m_t), C_j(\mu _H) are the Wilson coefficients... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 415,
"openalex_id": "",
"raw": "D. Becirevic et al., Nucl. Phys. B 634, 105 (2002) [hep-ph/0112303].",
"source_ref_id": "f2245b18367f0db4bf6d573ca9607c4ca9d7a6a5",
"start": 0
},
{
"arxiv_id": "",
"d... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.028413061052560806,
0.042970556765794754,
-0.05859621614217758,
-0.058962441980838776,
0.005047056823968887,
-0.03906414285302162,
-0.03570706769824028,
0.02410990186035633,
0.044649094343185425,
0.021485278382897377,
-0.022583957761526108,
0.04699904844164848,
-0.0013561819214373827,
-... |
9124591db9ec77ce505184fb59897bee07c48019 | subsection | 37 | 78 | Charged-Higgs contributions to the | Thus, the effective Wilson coefficients at \mu _H scale can be formulated as:C_1(\mu _H) & = 4 \zeta ^u_{tq^{\prime }} \zeta ^{u*}_{tt} \left( 2 y^2_t I^{WH}_1(y_t,y_W) + x_t y_t I^{WH}_{2}(y_t,y_W) \right) + 2 \left( \zeta ^{u}_{tq^{\prime }} \zeta ^{u*}_{tt} \right)^2 x_t y_t I^{HH}_1(y_t) \,, \\
C_2(\mu _H) & = -4 \... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1632,
"openalex_id": "",
"raw": "J. Urban, F. Krauss, U. Jentschura and G. Soff, Nucl. Phys. B 523, 40 (1998) [hep-ph/9710245].",
"source_ref_id": "6cd2afcc70c43a4e586dec2b6cae3a606dbd2e69",
"start": 1536
}
]
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.02731987088918686,
0.035714246332645416,
-0.055830217897892,
-0.012866285629570484,
0.02802194654941559,
-0.01825394667685032,
-0.001684598159044981,
0.018314996734261513,
0.05424291640520096,
0.039926692843437195,
-0.0012009678175672889,
-0.01385834813117981,
0.01663612201809883,
-0.00... |
f4e2c5db80ff84d8f2812756e4f2052d9b9ae7fd | subsection | 38 | 78 | Charged-Higgs contributions to the | Using Eq. | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03390991687774658,
0.044256869703531265,
-0.022479437291622162,
0.007973866537213326,
-0.03980065882205963,
-0.008050171658396721,
0.05255884677171707,
-0.015703558921813965,
0.006157809402793646,
-0.021792693063616753,
0.023715578019618988,
0.028675399720668793,
-0.019228845834732056,
... |
bb2f1e016a8330d94c9f3a5c3e5368e7bfc0f1cd | subsection | 39 | 78 | Charged-Higgs contributions to the | (REF ) and the magic numbers shown in , we obtain the Wilson coefficients C_i(m_b) at \mu =m_b scale as:& C_1(m_b) \approx 0.848 C_1(\mu _H)\,, \ C_2(m_b) \approx 1.708 C_2(\mu _H)\,, \ C_3(m_b) \approx -0.016 C_2(\mu _H)\,, \\
& C_{4}(m_b) \approx 2.395 C_{4}(\mu _H) + 0.431 C_{5} (\mu _H)\,, \ C_{5}(m_b) \approx 0.06... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1687,
"openalex_id": "",
"raw": "D. Becirevic et al., Nucl. Phys. B 634, 105 (2002) [hep-ph/0112303].",
"source_ref_id": "f2245b18367f0db4bf6d573ca9607c4ca9d7a6a5",
"start": 356
}
]
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.013828619383275509,
0.007059311959892511,
-0.07259262353181839,
-0.04875122755765915,
0.012386230751872063,
-0.011226213537156582,
-0.0005652219406329095,
0.037273164838552475,
0.05287233740091324,
0.04554591700434685,
-0.05213969573378563,
-0.003470510244369507,
0.023001909255981445,
-... |
23593f35767cd7575ca319294530e7d8ba42c00e | subsection | 40 | 78 | Charged-Higgs contributions to the | Using the results obtained by HPQCD , FNAL-MILC , and RBC-UKQCD collaborations, the lattice QCD results with N_f=2+1 averaged by the flavor lattice averaging group (FLAG) can be found as B_{1d} \approx 0.80 and B_{1s}\approx 0.84 . In our numerical calculations, the quark masses and B_{iq^{\prime }} parameters at the ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 232,
"openalex_id": "",
"raw": "E. Gamiz et al. [HPQCD Collaboration], Phys. Rev. D 80, 014503 (2009) [arXiv:0902.1815 [hep-lat]].",
"source_ref_id": "0847bd9e9cc581cf4a1f6134f6b4cca517d30c1a",
"start": 0
},
{
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01041391771286726,
0.011596450582146645,
-0.044676851481199265,
-0.09673880785703659,
0.011268393136560917,
-0.027205882593989372,
0.028396043926477432,
0.01051309797912836,
-0.030333872884511948,
0.05648691952228546,
-0.01338169351220131,
0.018005015328526497,
-0.02682442031800747,
0.0... |
9531dbfd05d66854a4b679f5d448012f722eff99 | subsection | 41 | 78 | Charged-Higgs contributions to the | \\
& + \left( 6 \hat{\eta }_{44B} B_{4q^{\prime }} + 2 \hat{\eta }_{45B} B_{5q^{\prime }}\right) C_4(\mu _H) \\
& \left. \left. + \left( 6 \hat{\eta }_{54B} B_{4q^{\prime }} + 2\hat{\eta }_{55B} B_{5q^{\prime }}\right) C_5(\mu _H) \right]
\right\rbrace \,,where 4 S_0(m^2_t/m^2_W)=3.136 (m^2_t/m^2_W)^{0.76} \approx 9.36... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1088/1674-1137/40/10/100001",
"end": 1497,
"openalex_id": "https://openalex.org/W3084106382",
"raw": "C. Patrignani et al. (Particle Data Group), Chin. Phys. C 40, 100001 (2016).",
"source_ref_id": "ac1762a5844bb1956638818fab86b814... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.02630416490137577,
0.0020922033581882715,
-0.03948676213622093,
-0.06621813774108887,
-0.018126072362065315,
-0.02369510941207409,
0.00977251585572958,
0.024824174121022224,
0.012000130489468575,
0.03551977500319481,
-0.036374203860759735,
0.005149452015757561,
-0.010298904031515121,
-0.... |
2eba3a132076e3756a054e7844f6851fb2cabd20 | subsection | 42 | 78 | Charged-Higgs contributions to the | In order to include the new physics contributions, when we use the \Delta M^{\rm exp}_{q^{\prime }} to bound the free parameters, we take the SM predictions to be \Delta M^{\rm SM}_d= 0.555^{+0.073}_{-0.046} ps^{-1} and \Delta M^{\rm SM}_s=16.8^{+2.6}_{-1.5} ps^{-1} , in which the next-to-leading order (NLO) QCD correc... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 467,
"openalex_id": "",
"raw": "A. Lenz et al., Phys. Rev. D 83, 036004 (2011) [arXiv:1008.1593 [hep-ph]].",
"source_ref_id": "059c263aa7f8de9f8230827bd76d3246e78188c0",
"start": 0
},
{
"arxiv_id": "",
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.04619009420275688,
0.0101364990696311,
-0.04426804929971695,
-0.012889903970062733,
-0.01828993484377861,
-0.02359843999147415,
0.0007117096101865172,
0.01559754740446806,
0.06333595514297485,
0.011387353762984276,
-0.02707642689347267,
0.0438409298658371,
0.02838829904794693,
-0.002139... |
d730c0b102da319b742164fbfbf2e849add01fe9 | subsection | 43 | 78 | Charged-Higgs contributions to the | The effective Hamiltonian arisen from the W^\pm and H^\pm bosons for b\rightarrow s \gamma at \mu _H scale can be written as:{\cal H}_{b\rightarrow s \gamma } = -\frac{4G_F}{\sqrt{2}} V^*_{ts} V_{tb} \left(C_{7\gamma } (\mu _H)Q_{7\gamma } + C_{8\gamma } (\mu _H)Q_{8G} + C^{\prime }_{7\gamma } (\mu _H)Q^{\prime }_{7\ga... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.016888657584786415,
0.014523940160870552,
-0.02462357096374035,
-0.04668409377336502,
0.005984259769320488,
-0.08561801165342331,
0.013028828427195549,
0.01696493849158287,
0.038323674350976944,
0.05480040982365608,
-0.04067313298583031,
0.04735536500811577,
0.02854442410171032,
-0.00590... |
182f2eb46adff3f02c587d439a24d09fdeee827a | subsection | 44 | 78 | Charged-Higgs contributions to the | REF , and the H^\pm contributions to C^{H^\pm }_{7\gamma ,8G} at \mu _H scale can be derived as :C^{H^\pm }_{7\gamma (8G)} (\mu _H)& = \zeta ^{u*}_{ts} \zeta ^u_{tt} C^{H^\pm }_{7(8),LL}(y_t) + \zeta ^{u*}_{ts} \zeta ^d_{bb} C^{H^\pm }_{7(8),RL}(y_t) \,, \\
C^{\prime H^\pm }_{7\gamma (8G)} (\mu _H)& = \zeta ^{d*}_{ts} ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.028068620711565018,
0.016322512179613113,
-0.03197382017970085,
-0.009503668174147606,
-0.011532541364431381,
-0.03719092160463333,
-0.026771971955895424,
0.04066899046301842,
0.013782607391476631,
-0.0045420825481414795,
-0.027153339236974716,
0.015330958180129528,
-0.016429295763373375,... |
e7adb953cbaafcbaecee9b151553ce75960d00a8 | subsection | 45 | 78 | Charged-Higgs contributions to the | (REF ), (\zeta ^{u*}_{ts} \zeta ^u_{tt} )_{\rm type-II} is suppressed by 1/t^2_\beta , and (\zeta ^u_{bb} \zeta ^{u*}_{ts})_{\rm type-II}=1 becomes t_\beta -independence. As a result, the mass of charged-Higgs in type-II 2HDM is limited to be m_{H^\pm } > 580 GeV at 95% confidence level (CL) when NNLO QCD corrections a... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 343,
"openalex_id": "",
"raw": "M. Misiak and M. Steinhauser, Eur. Phys. J. C 77, no. 3, 201 (2017) [arXiv:1702.04571 [hep-ph]].",
"source_ref_id": "6e47c8e6fdd4e728f931a87d0b937c959078f054",
"start": 171
},
{
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.018796099349856377,
0.01559221837669611,
-0.04885154962539673,
-0.02283909171819687,
0.014310666359961033,
-0.05907345563173294,
0.004550273064523935,
0.04821077361702919,
0.06450479477643967,
-0.0006779640098102391,
-0.03521217405796051,
0.006392504554241896,
-0.008970865048468113,
-0.... |
b5cc872fb38d3cb4a0cef30bb636e002404f8c21 | subsection | 46 | 78 | Charged-Higgs contributions to the | In this study, the charged-Higgs effects with RG running are taken from , , and they are written as:C^{(\prime )H^\pm }_{7\gamma } (\mu _b) & = \kappa _7 C^{(\prime )H^\pm }_{7\gamma } (\mu _H) + \kappa _8 C^{(\prime )H^\pm }_{8G}(\mu _H)\,,where \kappa _{7,8} are the LO QCD effects, for which their values with differ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 360,
"openalex_id": "",
"raw": "M. Blanke, A. J. Buras, K. Gemmler and T. Heidsieck, JHEP 1203, 024 (2012) [arXiv:1111.5014 [hep-ph]].",
"source_ref_id": "8d6b8655d2560cf783331c1326e0a8d56ae0ea6d",
"start": 0
},
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.017368018627166748,
0.018222684040665627,
-0.03925355523824692,
-0.040962882339954376,
-0.026967741549015045,
-0.06898369640111923,
-0.008630592375993729,
0.04871591925621033,
0.004273326136171818,
-0.020145680755376816,
-0.020756155252456665,
0.011652444489300251,
0.000005663588126481045... |
c4d0d8c9184372527eae15d7b0d6a35399c90f98 | subsection | 47 | 78 | Body | In addition to the charged currents, the b\rightarrow s \gamma process can be generated through the FCNCs in the type-III 2HDM, where the corresponding Feynman diagrams for b\rightarrow s (\gamma , g) are shown in Fig. REF . From the diagrams, it can be seen that unlike the m^2_t/m^2_{H^\pm } result from the H^\pm and ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03048689290881157,
0.0009198138141073287,
-0.05679289996623993,
-0.014282148331403732,
0.001724233734421432,
-0.03083784319460392,
0.004775974899530411,
0.055938415229320526,
0.006736718583852053,
0.04885837435722351,
-0.02600083313882351,
0.019164934754371643,
0.01840199902653694,
-0.0... |
a65e60755565cfefa6ca02c57f79ee4b1bd691c6 | subsection | 48 | 78 | Body | (REF ), as:C^S_{7\gamma } & = -\frac{t^2_\beta Q_b}{4 V^*_{ts} V_{tb}} \sqrt{\frac{m_s}{m_b}} \frac{\chi ^d_{sb}}{s_\beta } {\cal N}_{S} \,, \quad C^{\prime S}_{7\gamma } = -\frac{t^2_\beta Q_b}{4 V^*_{ts} V_{tb}} \sqrt{\frac{m_s}{m_b}} \frac{\chi ^{d*}_{bs} }{s_\beta } {\cal N}^*_{S} \,, \\
{\cal N}_{S} & = - \left( 1... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.030755944550037384,
0.03679728880524635,
-0.04875793680548668,
-0.045340608805418015,
-0.003075975924730301,
-0.015072853304445744,
0.010297749191522598,
0.021190479397773743,
0.0516260489821434,
0.019375024363398552,
-0.0005840158555656672,
0.04396757483482361,
0.019420791417360306,
0.... |
468752d47149a9edb16854add3a98ead700f8392 | subsection | 49 | 78 | Body | (REF ), we write the charged-Higgs Yukawa couplings to the quarks as{\cal L}^{H^\pm }_{Y,q} & = \frac{\sqrt{2}}{v} \bar{u}_{i R} C^L_{u_i d_k} d_{kL} H^+ + \frac{\sqrt{2}}{v} \bar{u}_{i L} C^R_{u_i d_k} d_{k R} H^+ + H.c.\,, \\
C^L_{u_i d_k} & = \left( \frac{m_{u_i}}{ t_\beta } \delta _{ij} - \frac{\sqrt{m_{u_i} m_{u_j... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.031237121671438217,
0.023713966831564903,
-0.0382109209895134,
-0.02794097363948822,
-0.03247318044304848,
0.02670491673052311,
0.023683445528149605,
0.005165494047105312,
0.008652392774820328,
0.015000533312559128,
-0.027101675048470497,
0.027467913925647736,
0.025606200098991394,
0.02... |
d850834e91ebb0d84fdeeb214c3802f69269d986 | subsection | 50 | 78 | Body | For the C^R_{ud} coupling, it can be decomposed to be:\frac{\sqrt{2}}{v} C^{R}_{ud} &= \frac{\sqrt{2}}{v} \left[ t_\beta m_d V_{ud} \left( 1 -\frac{\chi ^{d}_{dd}}{s_\beta } \right) - \frac{\sqrt{m_s m_d}}{c_\beta } \chi ^{d}_{sd} V_{us} - \frac{\sqrt{m_b m_d}}{c_\beta } \chi ^{d}_{bd} V_{ub}\right] \\
& \approx \sqrt{... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03534889966249466,
0.02413066104054451,
-0.034952063113451004,
-0.01327873207628727,
-0.018498647958040237,
-0.007226987741887569,
-0.0016379010630771518,
0.02261963300406933,
0.040507763624191284,
0.021780172362923622,
-0.03446365147829056,
-0.009844576939940453,
0.003552442416548729,
... |
86dd67e031519ffc56c2f7c34007caad4b652414 | subsection | 51 | 78 | Body | Numerically, we get \sqrt{ m_u/m_c} V_{ud}/|V_{cd}|\approx 0.28 and \sqrt{m_t/m_c}|V_{td}/V_{cd}|\approx 0.09; therefore, \chi ^L_{21} is dominated by \chi ^{u*}_{cc}. Nevertheless, with the result of \sqrt{2} m_c V_{cd} /v \approx -1.6\times 10^{-3}, the C^L_{cd} effect is two orders of magnitude smaller than the cont... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.04033822566270828,
0.026103898882865906,
-0.04244362562894821,
-0.05608295276761055,
-0.01998603530228138,
-0.02698877640068531,
-0.007235402707010508,
0.027705833315849304,
0.03237432613968849,
0.009161537513136864,
-0.040582332760095596,
-0.0004963134997524321,
0.012540855444967747,
-... |
256e32d1239300da95140cfbe44b25743ede1a95 | subsection | 52 | 78 | Body | Taking the case with 1/c_\beta \approx t_\beta , a simple expression can be given as:\frac{\sqrt{2}}{v} C^R_{cd} \approx -\sqrt{2} \frac{m_d t_\beta }{v} V_{cs} \sqrt{\frac{m_s}{m_d}} \chi ^d_{sd} \approx 8.3\times 10^{-4} t_\beta \chi ^d_{sd} V_{cd}\,.td H^+ vertex: The C^L_{td} coupling is expressed as:\frac{\sqrt{2}... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.051192134618759155,
0.024040168151259422,
-0.053602252155542374,
-0.009602339006960392,
-0.013370055705308914,
0.013080230914056301,
-0.026907904073596,
0.030858667567372322,
0.02281985431909561,
0.0010839812457561493,
-0.03136204555630684,
0.019265692681074142,
0.017313191667199135,
0.... |
6384e9fb835f3a75b3632639fae34cc3db98c30d | subsection | 53 | 78 | Body | Moreover, when \chi ^{u*}_{tt} and \chi ^{u*}_{ct} are in the range of O(0.1)-O(1), \chi ^{L}_{td} in C^L_{td} can be small if the cancellation occurs between \chi ^{u*}_{tt} and \chi ^{u*}_{ct}. However, since the cancellation cannot occur in Eq. (REF ), \chi ^d_{bd} will be directly bounded by the rare decays.u(c) s ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.055869586765766144,
0.03371703624725342,
-0.054221875965595245,
-0.004355752840638161,
-0.007079051807522774,
0.006953185424208641,
-0.022091524675488472,
0.035364747047424316,
0.041528403759002686,
0.02039804495871067,
-0.024944504722952843,
0.010221906937658787,
0.03628014028072357,
0... |
a668054d384ba7ef8f548cce5e287e4f4086d2c9 | subsection | 54 | 78 | Body | Similarly, the C^R_{us} and C^R_{cs} couplings can be simplified as:\frac{\sqrt{2}}{v} C^R_{us} & \approx \sqrt{2} \frac{m_s t_\beta }{v} V_{us} \left(1 - \frac{\chi ^R_{us}}{s_\beta } \right)\,, \quad \chi ^R_{us} = \chi ^d_{ss} + \sqrt{\frac{m_d}{m_s}} \frac{V_{ud}}{V_{us}} \chi ^d_{ds}\,, \\
\frac{\sqrt{2}}{v} C^R_{... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1380,
"openalex_id": "",
"raw": "F. U. Bernlochner, Z. Ligeti, M. Papucci and D. J. Robinson, Phys. Rev. D 95, no. 11, 115008 (2017) [arXiv:1703.05330 [hep-ph]].",
"source_ref_id": "b72adbea1b66f6bfcf6a04b7c96dac49f89d16c5",... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.02476448565721512,
0.024260956794023514,
-0.06378037482500076,
0.004913225304335356,
-0.014358214102685452,
-0.008323491550981998,
-0.02175856940448284,
0.025817319750785828,
0.037993572652339935,
0.0340263731777668,
-0.029815036803483963,
0.005191692151129246,
0.0342705100774765,
0.019... |
e49599181fe921197b40ec993768cf18c8374d1c | subsection | 55 | 78 | Body | To describe the \bar{B}\rightarrow (D, D^*) transition form factors based on the HQET, it is convenient to use the dimensionless kinetic variables, defined as:v=\frac{p_B}{m_B}\,, \ v^{\prime }=\frac{p_{D^{(*)}}}{m_{D^{(*)}}}\,, \ w= v\cdot v^{\prime } = \frac{m^2_B + m^2 _{D^{(*)}} -q^2 }{2 m_B m_{D^{(*)}}}\,.Thus, th... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 2331,
"openalex_id": "",
"raw": "F. U. Bernlochner, Z. Ligeti, M. Papucci and D. J. Robinson, Phys. Rev. D 95, no. 11, 115008 (2017) [arXiv:1703.05330 [hep-ph]].",
"source_ref_id": "b72adbea1b66f6bfcf6a04b7c96dac49f89d16c5",... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.003606100333854556,
-0.0006631524884141982,
-0.05467694625258446,
-0.009923926554620266,
-0.01842905953526497,
0.005370057187974453,
0.012525048106908798,
-0.0052251266315579414,
0.02622479759156704,
0.021739577874541283,
-0.028070753440260887,
-0.0032971694599837065,
0.015339751727879047... |
3e545f24fd83c8afbcb0320c3d31814fe46ff308 | subsection | 56 | 78 | Body | We take the results using the fit scenario of “th:L_{w\ge 1}+SR" shown in . In addition to \bar{\rho }^2_{*}=1.24\pm 0.08, the values of sub-leading Isgur-Wise functions at w=1 are given in Table REF . Using these results, the correction of O(e_{b,c}) and O(\alpha _s) can be obtained as:\Delta (e_b,e_c,\alpha _s) \appr... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 75,
"openalex_id": "",
"raw": "F. U. Bernlochner, Z. Ligeti, M. Papucci and D. J. Robinson, Phys. Rev. D 95, no. 11, 115008 (2017) [arXiv:1703.05330 [hep-ph]].",
"source_ref_id": "b72adbea1b66f6bfcf6a04b7c96dac49f89d16c5",
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.015138325281441212,
0.013520721346139908,
-0.05631090700626373,
-0.0006261536036618054,
-0.0030005776789039373,
-0.024096185341477394,
-0.012490644119679928,
0.004868070129305124,
0.03143643960356712,
0.020433686673641205,
-0.020403165370225906,
-0.003572843037545681,
0.0205710306763649,
... |
88cf1deed5dc4317a75350f8c7c8feb64d3992e2 | subsection | 57 | 78 | Body | In addition, \delta m_{bc}=m_b - m_c =3.40\pm 0.02 GeV and \bar{\Lambda }=0.45 GeV are used.
[Table: The results of sub-leading Isgur-Wise functions using the fit scenario of “th:L_{w\ge 1}+SR".]Following the notation in , the form factors up to O(e_{b,c}) and O(\alpha _s) can be expressed by factoring out \xi as: h_{i... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1876,
"openalex_id": "",
"raw": "F. U. Bernlochner, Z. Ligeti, M. Papucci and D. J. Robinson, Phys. Rev. D 95, no. 11, 115008 (2017) [arXiv:1703.05330 [hep-ph]].",
"source_ref_id": "b72adbea1b66f6bfcf6a04b7c96dac49f89d16c5",... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.03460327908396721,
0.021878791972994804,
-0.03976020589470863,
0.002502177143469453,
-0.012648200616240501,
-0.012869429774582386,
-0.013479716144502163,
0.02020050399005413,
0.0343286506831646,
0.03701391443610191,
-0.01215234212577343,
0.0030552498064935207,
0.01925455778837204,
0.021... |
6ba356927f2bb07229b94b7ce71305dedc91df07 | subsection | 58 | 78 | Numerical and theoretical inputs | In addition to the parameter values shown in Table REF , the values of the CKM matrix elements used in the following analysis are taken as :&V_{ub} \approx 0.0037 e^{-i \phi _3}\,, \ \phi _3=73.5^\circ \,, \ V_{cd(s)}\approx -0.22 (0.973)\,, \ V_{cb} \approx 0.0393 \,, \\
& V_{td} \approx 0.0082 e^{-i \phi _1 }\,, \ \p... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 391,
"openalex_id": "",
"raw": "Y. Amhis et al. [HFLAV Collaboration], Eur. Phys. J. C 77, no. 12, 895 (2017) [arXiv:1612.07233 [hep-ex]].",
"source_ref_id": "85e10731e0904a5f33e81e7c8039184a4f2de1d7",
"start": 0
}... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01839921809732914,
0.023449085652828217,
-0.07323071360588074,
0.0007037014001980424,
-0.013501913286745548,
-0.04702022299170494,
0.02752254344522953,
0.03313690051436424,
0.004466311074793339,
0.047996632754802704,
-0.00796384084969759,
-0.00011376744805602357,
0.0015809444012120366,
... |
a5318661e3913a0122512966ca8d4b88b00afcd8 | subsection | 59 | 78 | Numerical and theoretical inputs | We summarize the relevant results of Ref. with “th:\rm L_{w\ge 1}+SR” scenario in the appendix, where the “th:\rm L_{w\ge 1}+SR" scenario combines the QCD sum rule constraints and the QCD lattice data . The parametrizations of HQET form factors are different from those shown in Eqs. (REF ) and (REF ), and their relati... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 203,
"openalex_id": "",
"raw": "F. U. Bernlochner, Z. Ligeti, M. Papucci and D. J. Robinson, Phys. Rev. D 95, no. 11, 115008 (2017) [arXiv:1703.05330 [hep-ph]].",
"source_ref_id": "b72adbea1b66f6bfcf6a04b7c96dac49f89d16c5",
... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.05476827174425125,
0.02079363726079464,
-0.024058375507593155,
-0.029992876574397087,
-0.005903989542275667,
0.010816352441906929,
-0.007143522147089243,
0.011007050052285194,
0.03838355839252472,
0.024287212640047073,
-0.017528899013996124,
0.0007718474371358752,
-0.000030213608624762855... |
bb41992940856de1519ad7ce9506cf006f17be11 | subsection | 60 | 78 | Case with | The free parameters involved in this study are: \chi ^u_{tt}, \chi ^u_{ct,tc}, \chi ^{u}_{ut,tu}, \chi ^d_{bb}, \chi ^d_{bs,sb}, \chi ^d_{bd,db}, t_\beta , and the scalar masses m_{H,A,H^\pm }. To reduce the number of free parameters without loss of generality, we adopt \chi ^{q}_{ij}=\chi ^q_{ji} and take the new free... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.018657779321074486,
0.008070291019976139,
-0.07109178602695465,
-0.02707895264029503,
-0.02152586169540882,
-0.04183126240968704,
-0.002259757835417986,
0.04582826793193817,
0.03588151931762695,
0.024515988305211067,
-0.032037071883678436,
0.005049652885645628,
0.049398113042116165,
0.0... |
285f228531ac33f87511cd7a5fe9b19743b1e23a | subsection | 61 | 78 | Case with | In addition to the \sqrt{x_b x_{q^{\prime }}} suppression in \Delta M^S_{q^{\prime }}, the loop effect can be over the tree effect because \chi ^d_{bq^{\prime }} in \Delta M^{H^\pm }_{q^{\prime }} is linear dependent, but it is quadratic in \Delta M^S_{q^{\prime }}; as a result, when \chi ^d_{bq^{\prime }} is of O(10^{... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01549722533673048,
-0.0008751048590056598,
-0.06494947522878647,
-0.043584514409303665,
-0.04215000942349434,
-0.058601029217243195,
0.008523092605173588,
0.04874262586236,
0.01091901957988739,
0.01791604422032833,
-0.05051286518573761,
-0.006008894648402929,
0.011704945005476475,
0.011... |
e733865d8b925f636eec0780b9c3dce21453f333 | subsection | 62 | 78 | Case with | Hence, only considering the \chi ^d_{bq^{\prime }} effect will not cause interesting implications in the leptonic B^-_q decay.The \chi ^d_{bs} also affects the radiative b \rightarrow s \gamma decay through the intermediates of H^\pm and S shown in Figs. REF and REF . Since the quark in the S-mediated penguin diagram ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.05175993591547012,
0.014893189072608948,
-0.06689727306365967,
-0.049348946660757065,
-0.04428282007575035,
-0.06787388026714325,
0.029267556965351105,
0.045656170696020126,
-0.011963381431996822,
0.022767046466469765,
-0.049196355044841766,
0.017288917675614357,
0.02891659177839756,
0.... |
9966b7f8303d7714712bbe04903e2e1f1a6323c8 | subsection | 63 | 78 | Case with | For simplicity, we thus take \chi ^d_{bd}= \chi ^d_{bs} = 0 in the following analysis; that is, we only consider the charged-Higgs contributions. | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.022251863032579422,
0.03035593591630459,
-0.05179891735315323,
-0.025090577080845833,
-0.021275099366903305,
-0.047708723694086075,
0.050883203744888306,
0.04084086790680885,
0.039284151047468185,
0.016421813517808914,
-0.02002362348139286,
-0.038582105189561844,
0.023030219599604607,
0... |
f150682309cca49587df20409e60ebafe4e32300 | subsection | 64 | 78 | Correlation with the constraint from the | In the 2HDM, m_{H^\pm } indeed correlates with m_{H(A)}. According to the study in , the allowed mass difference can be m_H - m_{H^\pm } \sim 100 GeV if m_A = m_H is used. Since m_{H^\pm }=300 GeV is taken in our numerical analysis, the effects arisen from m_S\equiv m_{H(A)}\sim 400 GeV in the 2HDM cannot be arbitraril... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1103/physrevd.96.019902",
"end": 171,
"openalex_id": "https://openalex.org/W2734885404",
"raw": "R. Benbrik, C. H. Chen and T. Nomura, Phys. Rev. D 93, no. 9, 095004 (2016) [arXiv:1511.08544 [hep-ph]].",
"source_ref_id": "256d12d49... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.003924489952623844,
-0.004038906190544367,
-0.04546153545379639,
0.006575141102075577,
-0.00022895241272635758,
0.0019870351534336805,
-0.06016788259148598,
0.048177022486925125,
0.012410388328135014,
0.021708644926548004,
-0.05437077581882477,
0.03960340470075607,
0.026407353579998016,
... |
bc8a45b624b07cad88a2245aa3e3edaa7e463e2b | subsection | 65 | 78 | Correlation with the constraint from the | Thus, using t_\beta =50, we can obtain the limit from Eq. (REF ) as:|(1- \chi ^\ell _\tau /s_\beta )(1-\chi ^d_{bb}/s_\beta )| < 1.70\,,where m_b(m_{S}) = 3.18 GeV and m_\tau = 1.78 GeV are applied. Hence, we will take Eq. (REF ) as an input to bound the \chi ^\ell _\tau and \chi ^d_{bb} parameters. | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01329636201262474,
0.03548748046159744,
-0.055748604238033295,
-0.03219199553132057,
-0.014669480733573437,
-0.011969015002250671,
-0.014478770084679127,
0.05065280944108963,
0.053856752812862396,
0.0071631004102528095,
-0.021237563341856003,
0.03103247471153736,
-0.0037436545826494694,
... |
5b02ba1a476a4c03271472a2dadb103311815fd9 | subsection | 66 | 78 | Constraints of | From Eq. (REF ), there are two terms contributing to C^{H^\pm }_{7\gamma (8G)}, where the associated charged-Higgs effects are \zeta ^{u*}_{ts}\zeta ^u_{tt} and \zeta ^{u*}_{ts} \zeta ^d_{bb}. Using the definitions in Eq. (REF ), it can be seen that the new factor \chi ^{L*}_{ts} \chi ^{u*}_{tt}/s^2_\beta in the first ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1137,
"openalex_id": "",
"raw": "M. Misiak and M. Steinhauser, Eur. Phys. J. C 77, no. 3, 201 (2017) [arXiv:1702.04571 [hep-ph]].",
"source_ref_id": "6e47c8e6fdd4e728f931a87d0b937c959078f054",
"start": 826
}
]
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.01879890076816082,
-0.02455148659646511,
-0.07043484598398209,
-0.016189638525247574,
0.005920432973653078,
-0.03945938125252724,
-0.02545175887644291,
0.05636618658900261,
0.04776019603013992,
0.023040860891342163,
-0.03884902596473694,
0.01860053651034832,
0.01834113523364067,
-0.0040... |
922acc773e5f20c0017a2b88574633bcb1012f8a | subsection | 67 | 78 | Constraints of | From the plot (b), the sampling points are condensed at \chi ^d_{bb}\approx 1 because (1 - \chi ^d_{bb}/s_\beta ) becomes small when \chi ^d_{bb} approaches one.
[Figure: Allowed parameter spaces by the \bar{B} \rightarrow X_s \gamma constraint, where \chi ^u_{tt}=0 and \tan \beta =50 are fixed.]We now know that H^\pm ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.05490290746092796,
-0.02542196772992611,
-0.0598774328827858,
-0.02082892321050167,
-0.01150550041347742,
-0.03219709172844887,
-0.013397651724517345,
0.05435357242822647,
0.05301075428724289,
0.03048805147409439,
-0.048158302903175354,
0.017441362142562866,
0.05490290746092796,
0.00756... |
5c0293f0ab03b42059cc04f5c8877197661f2f41 | subsection | 68 | 78 | Charged-Higgs on the leptonic | After analyzing the b\rightarrow s \gamma and \Delta B=2 constraints, we study the charged-Higgs contributions to the leptonic and semileptonic B decays in the remaining part of the paper. In order to focus on the \chi ^u_{tc, tu} and \chi ^\ell _\ell effects, we fix \chi ^d_{bb}=\chi ^d_{db,sb}=0, t_\beta =50, and m_{... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.018282556906342506,
0.012239240109920502,
-0.02647765912115574,
-0.03763337433338165,
-0.023089738562703133,
-0.056007497012615204,
0.03937311843037605,
0.04926218092441559,
0.03168162703514099,
0.031116971746087074,
-0.05558019131422043,
0.012796263210475445,
0.007203144021332264,
0.03... |
b4e634d432da88925aa1d929e091a94df3f4eeec | subsection | 69 | 78 | Charged-Higgs on the leptonic | REF (b) and REF (d), although the measured values of BR(B^-_u \rightarrow \tau \bar{\nu }) and the indirect upper bound of BR(B^-_c \rightarrow \tau \bar{\nu })< 10\% can constrain the parameters to be a small region, the constraint from the pp\rightarrow H/A\rightarrow \tau ^+\tau ^- processes further excludes the re... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.010931667871773243,
0.03606763854622841,
-0.046503450721502304,
-0.0232059545814991,
-0.008955880999565125,
-0.010153558105230331,
-0.03231440484523773,
0.06020427122712135,
0.035152215510606766,
0.03274160251021385,
-0.0718301311135292,
0.011152894236147404,
0.055596645921468735,
0.001... |
e33009a3834ef37d6c59f0a5011e589a5192ea7d | subsection | 70 | 78 | Charged-Higgs on the | Compared to the charged B-meson decays, \bar{B}_d \rightarrow (\pi ^+, \rho ^+) \ell \bar{\nu } have larger BRs; thus, we discuss the neutral B-meson decays. With the LCSR form factors, the BRs of these decays in the SM are given in Table REF , where the current measurements of light lepton channels are also shown. Fro... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.008551104925572872,
-0.023387767374515533,
-0.029444482177495956,
-0.02920038253068924,
-0.0025077392347157,
-0.02076369896531105,
0.017895532771945,
0.04982677474617958,
0.041863035410642624,
0.04039844125509262,
-0.05040651187300682,
0.019299102947115898,
0.039299990981817245,
0.00415... |
461061078bcb6dab9744ae58543f6fcd16046a89 | subsection | 71 | 78 | Charged-Higgs on the | The reason, why B^-_u \rightarrow \tau \bar{\nu } gives a strict limit on \bar{B}_d \rightarrow \rho ^+ \tau \bar{\nu } can be understood from Eq. (), where both decays share the same C^{R,\tau }_{ub}-C^{L,\tau }_{ub} charged-Higgs effect. On the contrary, \bar{B}_d \rightarrow \pi ^+ \tau \bar{\nu } is related to C^{R... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.020802091807127,
-0.011477016843855381,
-0.03485838696360588,
-0.036079343408346176,
-0.015086477622389793,
-0.049937233328819275,
-0.0009519666200503707,
0.058026086539030075,
0.026815317571163177,
0.05460740253329277,
-0.05683565139770508,
0.03382056951522827,
0.03717820718884468,
-0.0... |
1db9afa50f2a585f828b5633fc2b1e0d6c92c715 | subsection | 72 | 78 | Charged-Higgs on the | However, the allowed values of P^\tau _\pi are wider and can have both negative and positive signs.
[Figure: Contours for P^\tau _\pi and P^\tau _{\rho }.]The lepton FBAs are also interesting observables in the semileptonic B decays. Following the formulae in Eq. (REF ), we show the FBAs of \bar{B}_d \rightarrow \pi ^+... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1088/1674-1137/40/10/100001",
"end": 1905,
"openalex_id": "https://openalex.org/W3084106382",
"raw": "C. Patrignani et al. (Particle Data Group), Chin. Phys. C 40, 100001 (2016).",
"source_ref_id": "ac1762a5844bb1956638818fab86b814... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.012575509026646614,
-0.010064985603094101,
-0.03265969455242157,
-0.04071778804063797,
0.007756677456200123,
-0.07191237807273865,
0.05521625280380249,
0.07545305043458939,
0.028966402634978294,
0.05008837208151817,
-0.06223655864596367,
0.029454771429300308,
0.02968369424343109,
-0.0030... |
730cd64b95aa962b04d188dd04b99259346cb205 | subsection | 73 | 78 | Charged-Higgs on the | The ratios of branching fractions are obtained as R(D)^{\rm SM}\approx 0.309 and R(D^*)^{\rm SM}\approx 0.257, which are consistent with the results obtained in the literature.
[Table: Branching ratios for B^-_u \rightarrow (D^0, D^{*0}) \ell \bar{\nu } in the SM and the associated experimental data.]As discussed befor... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 751,
"openalex_id": "",
"raw": "X. Q. Li, Y. D. Yang and X. Zhang, JHEP 1608, 054 (2016) [arXiv:1605.09308 [hep-ph]].",
"source_ref_id": "d11e4d166b66f54e3c4e5b9d935d8a3fcfb27a7a",
"start": 302
},
{
"arxi... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.021295566111803055,
0.02051757462322712,
-0.046801429241895676,
-0.027458464726805687,
-0.024987204000353813,
-0.01699373871088028,
0.014461458660662174,
0.02187524363398552,
0.0325535349547863,
0.05857805907726288,
-0.0316687636077404,
0.018153095617890358,
0.03627568483352661,
0.02146... |
ee45c2f247bd4ba38d126fc82afa9cd866fff0e0 | subsection | 74 | 78 | Charged-Higgs on the | (REF ) and (), it is expected that the helicity asymmetry of a light lepton will negatively approach unity, and that only \tau -lepton polarizations can significantly deviate from one. With HQET form factors, the lepton polarizations
in the SM are estimated as:P^{e(\mu )}_D & \approx -1 (-0.962) \,, \quad P^{\tau }_D \... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 508,
"openalex_id": "",
"raw": "S. Hirose et al. [Belle Collaboration], Phys. Rev. Lett. 118, no. 21, 211801 (2017) [arXiv:1612.00529 [hep-ex]].",
"source_ref_id": "5e5e1914852d9b953908a38aba19131d0791f1ab",
"start": 1... | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.005431747995316982,
0.0015839419793337584,
-0.03692368045449257,
-0.07219953089952469,
0.0030076780822128057,
-0.08410055190324783,
0.00734277768060565,
0.053066350519657135,
0.03043915145099163,
0.03518430143594742,
-0.05807087942957878,
0.028745543211698532,
0.043698109686374664,
-0.0... |
ec0a1775570ee063fb26622f1dd8f53c12feff07 | subsection | 75 | 78 | Charged-Higgs on the | From plot (a), similar to the case in A^{\pi ,\tau }_{FB}, A^{D,\tau }_{FB} can have a vanishing point in the type-III model when it crosses the q^2 axis. Usually, the zero-point occurs in B^-_u \rightarrow D^{*0} \ell \bar{\nu }, and the position of zero-point is sensitive to the new physics, as shown in plot (b). Hen... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.024658609181642532,
-0.02339210920035839,
-0.03851381689310074,
-0.060883570462465286,
0.0025101120118051767,
-0.03683532401919365,
0.05163659155368805,
0.06909293681383133,
0.0436713732779026,
0.03994816541671753,
-0.05450529232621193,
0.021362656727433205,
0.046448517590761185,
0.0014... |
577deb7fb85fa48ac9498e9d01816593d85b6f85 | subsection | 76 | 78 | Conclusion | We studied the constraints of the b\rightarrow s \gamma and \Delta B=2 processes in the type-III 2HDM with the Cheng-Sher ansatz, where the detailed analyses included the neutral scalars H and A (tree + loop) and charged-Higgs (loop) effects. It was found that the tree-induced \Delta B=2 processes produce strong constr... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
-0.030044592916965485,
-0.013587968423962593,
-0.07373055815696716,
-0.01663210056722164,
-0.011535659432411194,
-0.05737311765551567,
-0.012840286828577518,
0.06872567534446716,
0.003963475581258535,
0.05300910025835037,
-0.04611211642622948,
0.00474167475476861,
0.026153597980737686,
0.0... |
558747c24406226de2111d60fb383a7eca3eb651 | subsection | 77 | 78 | Conclusion | It was shown that since B^-_{u(c)} \rightarrow \tau \bar{\nu } and B^-_{u} \rightarrow \rho ^+ (D^{*0}) \tau \bar{\nu } are strongly correlated to the same charged-Higgs effects, the allowed R(\rho ^+), R(D^*), P^{\tau }_{\rho }, P^{\tau }_{D^*}, and A^{\rho ,\tau }_{FB} are very limited in terms of deviating from the ... | {
"cite_spans": []
} | 10.1103/PhysRevD.98.095007 | 1803.00171 | Charged Higgs boson contribution to $B^-_{q} \to \ell \bar \nu$ and
$\bar B\to (P, V) \ell \bar\nu$ in a generic two-Higgs doublet model | [
"Chuan-Hung Chen",
"Takaaki Nomura"
] | [
"hep-ph",
"hep-ex"
] | 2,018 | en | Physics | [
0.019315825775265694,
-0.012678871862590313,
-0.02805829793214798,
-0.028729621320962906,
-0.00984863005578518,
-0.05041034147143364,
0.011435396037995815,
0.06780374050140381,
0.025678148493170738,
0.04909820482134819,
-0.01129807997494936,
-0.0038048059213906527,
0.015547256916761398,
-0... |
3f4b673324d1aefb694341880598a57324efb240 | abstract | 0 | 72 | Abstract | We study the Cauchy problem for the radial energy critical nonlinear wave
equation in three dimensions. Our main result proves almost sure scattering for
radial initial data below the energy space. In order to preserve the spherical
symmetry of the initial data, we construct a radial randomization that is based
on annu... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.049821894615888596,
0.03282814472913742,
-0.007985842414200306,
0.0016265338053926826,
-0.018732788041234016,
-0.012356318533420563,
0.06388673931360245,
-0.005602293647825718,
0.024788910523056984,
0.036580804735422134,
-0.008855361491441727,
-0.007730326149612665,
-0.015468279831111431,... |
3765042acd0d6211ac5a2a8779302ca5e5c38ca0 | subsection | 1 | 72 | Introduction | We consider the defocusing nonlinear wave equation (NLW) in three dimensions{\left\lbrace \begin{array}{ll}
-\partial _{tt} u+ \Delta u =u^5 ~, \qquad \qquad \quad (t,x)\in \mathbb {R}\times \\
u(0,x)= f(x) \in \dot{H}_x^s(), \qquad \partial _t u(0,x) = g(x) \in \dot{H}_x^{s-1}().
\end{array}\right.}The flow of nonline... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1353/ajm.1999.0001",
"end": 1154,
"openalex_id": "https://openalex.org/W2102648578",
"raw": "Hajer Bahouri and Patrick Gérard. High frequency approximation of solutions to critical nonlinear wave equations. Amer. J. Math., 121(1):131–175... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.04663005471229553,
0.03610166907310486,
-0.035796500742435455,
0.0017509157769382,
0.007926804013550282,
0.022704685106873512,
0.04919348657131195,
0.007167692296206951,
0.03512512519955635,
0.020675301551818848,
0.0023231105878949165,
-0.008102277293801308,
-0.027755256742239,
0.005145... |
c156c8fd02a9e8fdeef08626d358c11c92bc5b04 | subsection | 2 | 72 | Introduction | Fig REF ). By convolving the indicator function \chi _Q with a smooth and compactly supported kernel, we can construct a function \psi \in C^\infty _c() s.t.\psi |_{[-\frac{1}{4},\frac{1}{4})^d}\equiv 1, \quad \psi |_{\backslash [-1,1)^d} \equiv 0, \quad \text{and} \quad \sum _{k\in \mathbb {Z}^d} \psi (\xi -k) = 1 ~.T... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1169,
"openalex_id": "",
"raw": "Jonas Lührmann and Dana Mendelson. Random data Cauchy theory for nonlinear wave equations of power-type on {R}^3. Comm. Partial Differential Equations, 39(12):2262–2283, 2014.",
"source_ref_i... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.025890454649925232,
0.09605557471513748,
-0.04104026034474373,
0.020489618182182312,
0.03301528841257095,
-0.008360618725419044,
0.05498479679226875,
-0.003280169563367963,
0.04042999818921089,
0.04973652586340904,
-0.012945227324962616,
0.00820805225521326,
-0.0013750013895332813,
-0.0... |
6f0374f9041a43f56ca49386031936e5e5ecf869 | subsection | 3 | 72 | Introduction | To this end, let us first define a family of annular Fourier multipliers.
[Figure: Partions of][Annular Multiplier]
Let f \in L_x^2(\mathbb {R}^d) , a > 0 , and \delta \in (0,1) . Then, we define the operator A_{a,\delta } by setting\widehat{A_{a,\delta }f}(\xi ) := \chi _{[a,(1+\delta )a)}(\Vert \xi \Vert _2) \hat{f}(... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1489,
"openalex_id": "",
"raw": "Tadahiro Oh. Lecture notes: Probabilistic perspectives in nonlinear dispersive pdes. http://www.maths.ed.ac.uk/toh/2017DispEq, 2017.",
"source_ref_id": "6ba81f9776106da6871fb7ab76670a095abc71... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.09676212072372437,
0.02641880512237549,
-0.046702221035957336,
-0.0055249035358428955,
-0.010172232054173946,
0.019581357017159462,
0.02364109270274639,
0.0394374318420887,
0.054943788796663284,
0.002985660918056965,
-0.053295478224754333,
0.016467874869704247,
-0.021077048033475876,
-0... |
18409f08b1478fb33c44b02f23fc9af8c2d756f1 | subsection | 4 | 72 | Introduction | For technical reasons, we split the randomized initial data (f^\omega , g^\omega ) into low- and high-frequency components. For the high-frequency component, we letF^\omega (t,x) = \cos (t|\nabla |) P_{>2^6} f^\omega (x) + \frac{\sin (t|\nabla |)}{|\nabla |} P_{>2^6} g^\omega (x)be the random and rough linear evolution... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 935,
"openalex_id": "",
"raw": "Giuseppe Da Prato and Arnaud Debussche. Two-dimensional Navier-Stokes equations driven by a space-time white noise. J. Funct. Anal., 196(1):180–210, 2002.",
"source_ref_id": "2794e86eaff6cd800... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.0180616807192564,
0.023080509155988693,
-0.031699467450380325,
-0.004031080286949873,
0.03249271959066391,
0.009450347162783146,
0.047991592437028885,
0.03218762204051018,
0.020334644243121147,
0.04356770217418671,
-0.020532958209514618,
0.013149634934961796,
-0.032919853925704956,
0.01... |
f1e61ba5e85aabf5cf55dd7bdad1e0dec74dd103 | subsection | 5 | 72 | Introduction | For any (u_0, u_1 )\in \dot{H}_{}^1()\times L_{}^2() , we can also replace the initial data in (REF ) by (u_0 + P_{\le 2^6} f^\omega , u_1 + P_{\le 2^6} g^\omega ) . This implies the stability of the scattering mechanism of (REF ) under random radial pertubations.By using the deterministic theory and a perturbation the... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 404,
"openalex_id": "",
"raw": "Árpád Bényi, Tadahiro Oh, and Oana Pocovnicu. On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on {R}^d, d\\ge 3. Trans. Amer. Math. Soc. Ser. B, 2:1–50, 2015.",
... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.003978736232966185,
0.025268597528338432,
-0.00810243096202612,
-0.024597210809588432,
0.00795747246593237,
-0.047149740159511566,
0.010856647044420242,
0.02931218408048153,
0.04211433231830597,
-0.001960757886990905,
-0.02674870379269123,
0.013374351896345615,
-0.02818303182721138,
-0.... |
93a998ad32434a929ad70e466ff1f0cd35c1c2a1 | subsection | 6 | 72 | Introduction | After neglecting boundary terms, we heuristically rewrite the main error term as\int _{I} \int _{}( \partial _t F^\omega _N ) v^5= \int _{I} \int _{} (|\nabla |\widetilde{F}_N^\omega ) v^5 \sim \int _{I} \int _{} (|\nabla |^{\frac{1}{2}}\widetilde{F}_N^\omega )~ v^4~ (|\nabla |^{\frac{1}{2}}v) .By using the Morawetz te... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.0251510888338089,
0.07398815453052521,
-0.011087540537118912,
0.02591416798532009,
0.01733715832233429,
-0.0026116385124623775,
-0.00905774999409914,
0.012995238415896893,
0.017367681488394737,
0.004670044407248497,
-0.03876442089676857,
-0.01257554441690445,
-0.03522373363375664,
-0.02... |
6c1922b97722b87a4286e679af49cc1fd7e04053 | subsection | 7 | 72 | Introduction | Using this, we can decompose the linear evolution into an incoming and outgoing wave, i.e.,|\nabla |^{\frac{1}{2}} \widetilde{F}_N^\omega = \frac{1}{|x|} \left( W_{\text{in}}[|\nabla |^{\frac{1}{2}} \widetilde{F}_n^\omega ](t+|x|) + W_{\text{out}}[|\nabla |^{\frac{1}{2}} \widetilde{F}_n^\omega ](t-|x|) \right)~.Second,... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1503,
"openalex_id": "",
"raw": "James Colliander, Markus Keel, Gigliola Staffilani, Hideo Takaoka, and Terence Tao. Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on R^3. Comm. Pure Appl. ... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.017344923689961433,
0.04140204191207886,
-0.005999024957418442,
0.037405237555503845,
0.009839468635618687,
-0.021067140623927116,
-0.0008385477121919394,
0.026528427377343178,
0.05677907168865204,
0.0369780957698822,
-0.017283903434872627,
-0.013821020722389221,
-0.015727894380688667,
... |
c16003e34d7edc5f9f951e6bd95787d9a1f9368f | subsection | 8 | 72 | Introduction | Using the interaction flux estimate, we bound&\left| \int _{I} \int _{} (|\nabla |^{\frac{1}{2}}\widetilde{F}_N)~ v^4~ (|\nabla |^{\frac{1}{2}}v) \right| \\
&\lesssim \Vert |x|^{\frac{3}{8}} |\nabla |^{\frac{1}{2}} \widetilde{F}_N^\omega \Vert _{L_t^\frac{8}{3} L_x^\infty ()}^{\frac{2}{3}} \Vert |x|^{\frac{1}{3}} (|\na... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.04519544541835785,
0.028914708644151688,
-0.02522217109799385,
0.020904038101434708,
0.0002651150862220675,
-0.010307064279913902,
-0.00021945901971776038,
0.01611289381980896,
0.004138846881687641,
0.013427411206066608,
-0.07629210501909256,
0.013915680348873138,
0.007182902190834284,
... |
2adf3fa6ac3439d6e50e8d5cd80af2b39892f6ec | subsection | 9 | 72 | Outline. | In Section , we review basic facts from harmonic analysis. In Sections
and , we study solutions to the radial linear wave equation. First, we prove a refined radial Strichartz estimate which is based on . As a consequence, we obtain
probabilistic Strichartz estimates for the radial randomization. Then, we discuss the ... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.48550/arxiv.math/0402192",
"end": 205,
"openalex_id": "https://openalex.org/W1808787709",
"raw": "Jacob Sterbenz. Angular regularity and Strichartz estimates for the wave equation. Int. Math. Res. Not., (4):187–231, 2005. With an appendi... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.055220216512680054,
0.06376256793737411,
0.014148273505270481,
-0.017588095739483833,
0.011066923849284649,
-0.0261762123554945,
0.052962593734264374,
-0.014209290035068989,
0.027686377987265587,
0.03581686690449715,
-0.024299945682287216,
-0.018808431923389435,
-0.0017818815540522337,
... |
f08cf0a1e323fb0992937b096f5957de3c4479d1 | subsection | 10 | 72 | Notation and preliminaries | In this section, we introduce the notation that will be used throughout the rest of this paper. We also recall some basic results from harmonic analysis and prove certain auxiliary lemmas.If A and B are two nonnegative quantities, we write A \lesssim B if there exists an absolute constant C > 0 such that A \le C B . We... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.03823811933398247,
0.039580877870321274,
-0.02745027095079422,
0.03652915358543396,
0.021941905841231346,
-0.02546664886176586,
0.035155877470970154,
0.01608259230852127,
0.02088906057178974,
0.03723105043172836,
-0.005687653087079525,
-0.015434101223945618,
0.0228421650826931,
-0.02319... |
b53279eb7678f4029e2c83f313282753911a72d6 | subsection | 11 | 72 | Littlewood-Paley theory and Sobolev embeddings | We start this section by defining the Littlewood-Paley operators P_L .
Let \phi \in C^\infty _c(\mathbb {R}^d) be a nonnegative radial bump function such that
\phi |_{B(0,1)} \equiv 1 and \phi _{\mathbb {R}^d\backslash B(0,2)} \equiv 0 . We set \Psi _1(\xi ) = \phi (\xi ) and, for a dyadic L > 1 , we set \Psi _L(\xi )... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 1120,
"openalex_id": "",
"raw": "Camil Muscalu and Wilhelm Schlag. Classical and multilinear harmonic analysis. Vol. I, volume 137 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 2013.",
... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.05434659123420715,
0.04824366047978401,
-0.040798086673021317,
-0.0018394612707197666,
-0.0025060155894607306,
0.013403560034930706,
0.0555366612970829,
0.029995901510119438,
0.03234552964568138,
0.016981402412056923,
-0.048823438584804535,
-0.013861279934644699,
0.026669804006814957,
0... |
b252aa8dc6234abb2822d02123328d5bb89fe4f4 | subsection | 12 | 72 | Littlewood-Paley theory and Sobolev embeddings | Thus, the family \lbrace \chi _J \rbrace _{J\ge 1} defines a partition of unity adapted to dyadic annuli. Furthermore, we let \widetilde{\chi _J} be a slightly fattened version of \chi _J .
[Mismatch Estimate]
Let L,J,K \in 2^{\mathbb {N}_0} . Furthermore, we assume that the separation condition \frac{J}{K} + \frac{K}{... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1016/j.aim.2019.02.001",
"end": 592,
"openalex_id": "https://openalex.org/W2963870247",
"raw": "Benjamin Dodson, Jonas Lührmann, and Dana Mendelson. Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger e... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.06016423553228378,
0.04062841087579727,
-0.0475575253367424,
0.009577132761478424,
-0.02129099704325199,
0.0038384844083338976,
0.03669072315096855,
0.03299722820520401,
0.01976476050913334,
0.006543738301843405,
-0.005158678628504276,
-0.002232120605185628,
-0.01778065413236618,
0.0485... |
2429a43b01cb96aa0b2611a7d757d59093f30310 | subsection | 13 | 72 | Littlewood-Paley theory and Sobolev embeddings | Then, we have that\Vert \langle x \rangle ^{-\alpha } P_L f \Vert _{L_x^p()} \lesssim L^{-1} \Vert \langle x \rangle ^{-\alpha } \nabla f \Vert _{L_x^p()} + L^{-1} \Vert \langle x \rangle ^{-\alpha -1} f \Vert _{L_x^p()}~.By iterating this inequality, we could further decrease the weight in the term \Vert \langle x\ran... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.0012127336813136935,
0.04866189509630203,
-0.027610667049884796,
-0.009701869450509548,
-0.00967136025428772,
0.007486151531338692,
0.08017771691083908,
0.029486970975995064,
0.016108764335513115,
-0.012447682209312916,
-0.02106648124754429,
-0.008824734948575497,
-0.03743457421660423,
... |
f84c7f0b651ea137c9b7219db31b6ed416a5418a | subsection | 14 | 72 | Littlewood-Paley theory and Sobolev embeddings | Using the Bernstein estimate, we have that&\sum _{J\ge 1}^\infty J^{-\alpha p } \Vert \chi _J P_L \widetilde{\chi _J} f \Vert _{L_x^p()}^p \\
&\le \sum _{J\ge 1}^\infty J^{-\alpha p } \Vert P_L \widetilde{\chi _J} f \Vert _{L_x^p()}^p \\
&\lesssim \sum _{J \ge 1}^{\infty } J^{-\alpha p} L^{-p} \Vert \nabla (\widetilde{... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.03406621143221855,
0.04743628203868866,
-0.03531774505972862,
-0.009363628923892975,
-0.029411105439066887,
0.010065710172057152,
0.03489039093255997,
0.05589178577065468,
-0.0027682611253112555,
-0.010744897648692131,
-0.03099841997027397,
0.022451341152191162,
-0.016682064160704613,
0... |
1fb9309e2eea8cc19b89669ed8301267c1b5cdc6 | subsection | 15 | 72 | Littlewood-Paley theory and Sobolev embeddings | Using (REF ) and choosing M>0 large, we have that&\sum _{J\ge 1}^\infty J^{-\alpha p} \left( \sum _{K\colon K \lnot \sim J}\Vert \chi _J P_L \chi _K f \Vert _{L_x^p()} \right)^p \\
&\lesssim \sum _{J \ge 1}^{\infty } J^{-\alpha p} \left( \sum _{K \colon K \lnot \sim J} (JKL)^{-(M+\alpha +1) } \Vert \widetilde{\chi _K} ... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.027290217578411102,
0.04218689352273941,
-0.04633842408657074,
-0.017491381615400314,
-0.02228395827114582,
0.026557594537734985,
0.05317624285817146,
0.03037334233522415,
-0.023566050454974174,
-0.00020545409643091261,
-0.05274887755513191,
0.009501208551228046,
0.008432799950242043,
0... |
5a091d628914c442df37e6fa08e3175135f3203b | subsection | 16 | 72 | Littlewood-Paley theory and Sobolev embeddings | It holds that|P_L(\frac{x_j}{|x|}) | &= L^d \left| \int _{} {\Psi }(Ly) \frac{x_j-y_j}{|x-y|} \right| \\
&= L^d \left| \int _{} {\Psi }(Ly) \left( \frac{x_j-y_j}{|x-y|}- \frac{x_j}{|x|} \right) \right| \\
&\le L^d \int _{} |{\Psi }(Ly) |\left|\frac{x_j(|x|-|x-y|)-y_j |x|}{|x-y||x|} \right| \\
&\le L^d \int _{} |{\Psi }... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.1007/978-3-319-27466-9_8",
"end": 940,
"openalex_id": "https://openalex.org/W1615941522",
"raw": "Pablo L. De Nápoli and Irene Drelichman. Elementary proofs of embedding theorems for potential spaces of radial functions. In Methods of Fo... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.04159162566065788,
0.05337032675743103,
-0.020933128893375397,
-0.00035091981408186257,
-0.01943790540099144,
0.01524212583899498,
0.04357508569955826,
-0.008475475944578648,
0.048793110996484756,
0.015120066702365875,
-0.008216100744903088,
0.017744336277246475,
0.024900048971176147,
0... |
a35c3b98d7159f76510f472075faa405da7f49dd | subsection | 17 | 72 | Calderón-Zygmund theory | In order to use weighted estimates, we introduce some basic Calderón-Zygmund theory.
[]
Let w \in L^1_{}() be nonnegative.
For 1 < p < \infty , we say that w satisfies the A_p -condition if\sup _{B=B_r(x)} \left( \frac{1}{|B|} \int _B w \right) ~ \left( \frac{1}{|B|} \int _B w^{-\frac{p^\prime }{p}} \right)^{\frac{p}{p... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 124,
"openalex_id": "https://openalex.org/W1584610719",
"raw": "Elias M. Stein. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, volume 43 of Princeton Mathematical Series. Princeton University P... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.01180780865252018,
0.00020118278916925192,
-0.03935936093330383,
0.013142670504748821,
-0.008443956263363361,
-0.04295967519283295,
0.08616343885660172,
0.012662120163440704,
0.03176208958029747,
-0.012334125116467476,
-0.01158660277724266,
-0.003106414806097746,
-0.016674334183335304,
... |
2eee5c9aa8ec72b6f788e9038d77a980596d8d3d | subsection | 18 | 72 | Probabilistic Strichartz estimates | In this section, we derive probabilistic Strichartz estimates for the radial randomization.
For the Wiener randomization, there exist two different methods for proving probabilistic Strichartz estimates.The first method relies on Bernstein-type inequalities for the multipliers f \mapsto \psi (\nabla /i-k) f . After usi... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "",
"end": 780,
"openalex_id": "",
"raw": "Árpád Bényi, Tadahiro Oh, and Oana Pocovnicu. On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on {R}^d, d\\ge 3. Trans. Amer. Math. Soc. Ser. B, 2:1–50, 2015.",
... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.05178691819310188,
0.05413670465350151,
-0.0440966971218586,
0.007644444704055786,
-0.0070112221874296665,
0.023345310240983963,
0.07641392946243286,
0.010154446586966515,
0.017150411382317543,
0.0311728548258543,
-0.0626203641295433,
0.043089643120765686,
-0.02290281653404236,
-0.00083... |
f7b4d56c28c0168f4009495c54ab3bcf82bbd413 | subsection | 19 | 72 | Probabilistic Strichartz estimates | Then, we have that\Vert |x|^\alpha f \Vert _{{q}{p}(\mathbb {R}\times )} \lesssim _{\alpha ,q,p} \delta ^{\frac{1}{2}-\frac{1}{\min (p,q)}} \Vert f \Vert _{()}as long as-\frac{d}{p} &< \alpha < (d-1) \left( \frac{1}{2}-\frac{1}{p} \right) - \frac{1}{q} \qquad &\text{if} ~~ 2 \le q,p < \infty \\
-\frac{d}{p} &< \alpha \... | {
"cite_spans": [
{
"arxiv_id": "",
"doi": "10.3934/cpaa.2012.11.1723",
"end": 760,
"openalex_id": "https://openalex.org/W2008601346",
"raw": "Jin-Cheng Jiang, Chengbo Wang, and Xin Yu. Generalized and weighted Strichartz estimates. Commun. Pure Appl. Anal., 11(5):1723–1752, 2012.",
... | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.054395321756601334,
0.04481051117181778,
-0.023687301203608513,
0.005612760782241821,
0.011515508405864239,
-0.0014050980098545551,
0.06813151389360428,
0.003914814908057451,
0.031257469207048416,
0.0324174128472805,
-0.013568305410444736,
0.008882737718522549,
0.0344320572912693,
0.002... |
281994a4ee1283445d3a311318c30745e2532485 | subsection | 20 | 72 | Probabilistic Strichartz estimates | Since \hat{f} \subseteq [\frac{1}{2}, 2 ] , we may write\hat{f}(\rho ) = \sum _{k\in \mathbb {Z}}c_k \exp (ik \rho ), \qquad \text{where} ~ c_k = \frac{1}{2\pi } \int _{0}^{2\pi } \exp (-i k \rho ) \hat{f}(\rho ) ~.Inserting (REF ) into (REF ), we have to bound\sum _{k\in \mathbb {Z}} (1+r)^{-\frac{d-1}{2}} c_k \int _{... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.014270917512476444,
0.014240407384932041,
-0.014103113673627377,
0.018061749637126923,
-0.006841802969574928,
0.023263655602931976,
0.00528199365362525,
0.0012699667131528258,
-0.004256104584783316,
-0.003951007500290871,
-0.018351592123508453,
0.01944994181394577,
0.0014844881370663643,
... |
f37252e7a3cd80f4aca682404240f3c0556660d4 | subsection | 21 | 72 | Probabilistic Strichartz estimates | Since \alpha + \frac{d-1}{p} > -\frac{1}{p} if 2\le p <\infty , or \alpha \ge 0 if p =\infty , we obtain for sufficiently large M that\Vert (1+r)^{-\frac{d-1}{2}} r^{\alpha +\frac{d-1}{p}} (1+|t+ k \pm r|)^{-M} \Vert _{L_r^p(\mathbb {R}_{>0}) }\lesssim (1+|t+k|)^{-\frac{d-1}{2}} |t+k|^{\alpha + \frac{d-1}{p}} ~.From th... | {
"cite_spans": []
} | 10.2140/apde.2020.13.1011 | 1804.09268 | Almost sure scattering for the radial energy critical nonlinear wave
equation in three dimensions | [
"Bjoern Bringmann"
] | [
"math.AP"
] | 2,018 | en | Mathematics | [
-0.09380260109901428,
0.024320323020219803,
-0.03347477316856384,
-0.0005168450297787786,
-0.02695985697209835,
0.028897549957036972,
0.02070431597530842,
0.023542195558547974,
0.02213851362466812,
-0.028394054621458054,
-0.02374054118990898,
0.00887218862771988,
-0.02691408433020115,
-0.0... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.