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| id: P04 |
| title: "Reproducing $\\sigma(pp \\to Z')$ vs $g_1'$ slices for kinetic-mixing B-L Z' at $\\sqrt{s}=13$ TeV" |
| arxiv_id: "1605.02910" |
| venue: "ARC-Bench Physics 2026" |
| paper_asset: null |
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| synthesis: | |
| Reproducing the $\sqrt{s}=13$ TeV LHC production cross section |
| $\sigma(pp \to Z')$ as a function of $g_1'$ along three constant- |
| $\tilde g$ slices, for the same kinetic-mixing B-L $Z'$ model as P03. |
| The cross section is exactly quadratic in the couplings, |
| $\sigma(g_1', \tilde g) = A g_1'^2 + B g_1' \tilde g + C \tilde g^2$, |
| so 3 MadGraph runs per mass point determine $(A,B,C)$ on the entire |
| $(g_1', \tilde g)$ plane. The diagnostic figure has two panels |
| (Panel A: $M_{Z'}=2$ TeV with $\tilde g\in\{0, -0.05, -0.10\}$; |
| Panel B: $M_{Z'}=3$ TeV with $\tilde g\in\{0, -0.30, -0.60\}$). |
| |
| A credible study (a) reuses the kinetic-mixing B-L $Z'$ model |
| (FeynRules + UFO), (b) executes 6 MadGraph runs (3 per mass) at |
| $\sqrt{s}=13$ TeV, (c) solves the linear system for $(A,B,C)$ at each |
| mass, (d) computes the analytic curves $\sigma(g_1')|_{\tilde g}$ for |
| the requested slices, and (e) plots two panels with log-y on the |
| prescribed ranges (Panel A: $g_1' \in [0, 0.20]$, $\sigma \in |
| [10^{-4}, 10^{-1}]$ pb; Panel B: $g_1' \in [0, 0.70]$, $\sigma \in |
| [10^{-4}, 10^{1}]$ pb). Research question: *does the agent recover the |
| quadratic-in-couplings parameterization of $Z'$ production well enough |
| to reproduce the constant-$\tilde g$ cross-section slices in Figure 10 |
| of arXiv:1605.02910?* |
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| hypotheses: |
| - id: H1 |
| statement: "At Panel A ($M_{Z'}=2$ TeV, $\\tilde g = 0$, $g_1' = 0.10$), the reconstructed $\\sigma(pp \\to Z')$ lies within $\\pm 30\\%$ of the published value." |
| measurable: true |
| - id: H2 |
| statement: "The curve at $\\tilde g = -0.10$ in Panel A lies above the $\\tilde g = 0$ curve at $g_1' = 0.05$ but below at $g_1' = 0.20$, demonstrating the destructive-then-constructive interference pattern of the kinetic mixing." |
| measurable: true |
| - id: H3 |
| statement: "$\\sigma$ at ($M_{Z'}=2$ TeV, $g_1'=0.10$, $\\tilde g=0$) exceeds $\\sigma$ at ($M_{Z'}=3$ TeV, $g_1'=0.10$, $\\tilde g=0$) by a factor in $[10, 200]$, reflecting the steep PDF suppression." |
| measurable: true |
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| experiment_design: |
| research_question: "Does the agent reproduce $\\sigma(pp \\to Z')$ vs $g_1'$ for fixed-$\\tilde g$ slices at $M_{Z'}=2$ and 3 TeV at $\\sqrt{s}=13$ TeV (Figure 10 of arXiv:1605.02910)?" |
| conditions: |
| - name: "mzp_2tev_3runs" |
| description: "$M_{Z'}=2$ TeV at $\\sqrt{s}=13$ TeV: 3 signal runs at $(g_1', \\tilde g) \\in \\{(0.10, 0), (0.10, -0.10), (0.15, -0.05)\\}$." |
| - name: "mzp_3tev_3runs" |
| description: "$M_{Z'}=3$ TeV at $\\sqrt{s}=13$ TeV: 3 signal runs at $(g_1', \\tilde g) \\in \\{(0.30, 0), (0.30, -0.30), (0.50, -0.60)\\}$." |
| baselines: |
| - "Self-consistency cross-check: predicted $\\sigma$ at the 3 input points must reproduce the simulated $\\sigma$ exactly (closure of the $A,B,C$ fit)" |
| metrics: |
| - name: "cross_section_pb" |
| direction: "match_reference" |
| description: "$\\sigma(pp \\to Z')$ in pb on the requested slice points." |
| - name: "quadratic_coefficients_ABC_13tev" |
| direction: "match_reference" |
| description: "$(A, B, C)$ coefficients per mass point at $\\sqrt{s}=13$ TeV." |
| - name: "mass_pdf_suppression_ratio" |
| direction: "match_reference" |
| description: "$\\sigma(M_{Z'}=2)/\\sigma(M_{Z'}=3)$ at $\\tilde g = 0$, $g_1' = 0.10$." |
| datasets: |
| - process_id: "pp_to_Zprime_BL_kinmix_13tev" |
| sqrt_s_TeV: 13 |
| description: "$pp \\to Z'$ for the kinetic-mixing B-L Z' model at LHC Run 2 energy." |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 3600 |
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| rubric_path: "experiments/arc_bench/config/physics/rubrics/P04.json" |
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| requirements: |
| - id: req_results_json |
| type: artifact |
| description: >- |
| A canonical results.json file exists at the workspace root with at least |
| the keys: primary_metric (number), metric_key (string), metrics (object |
| with numeric keys), hypotheses (object with h1/h2/h3 entries each |
| carrying a `supported` boolean), summary (non-empty string). |
| must_pass: true |
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|
| - id: req_metrics_numeric |
| type: numeric |
| description: >- |
| results.json metrics MUST contain at least 3 numeric (non-null, finite) |
| values directly relevant to the headline physics observable named in |
| the experiment_design.metrics list above — these are the numbers the |
| paper will report in its Results section. |
| must_pass: true |
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| - id: req_hypotheses_supported_flags |
| type: discussion |
| description: >- |
| results.json hypotheses.h1/h2/h3 each MUST have an explicit `supported` |
| boolean AND a `details` string ≥ 40 characters quoting the numerical |
| evidence (specific values + their source artifact) used to reach the |
| verdict. |
| must_pass: true |
|
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| - id: req_publication_figure |
| type: artifact |
| description: >- |
| At least one publication-quality figure file (PDF or PNG, ≥150 DPI for |
| raster) exists under figures/ or output/figures/ with axes labeled in |
| physical units (GeV / pb / fb / dimensionless) and a legend if multiple |
| series are plotted. The figure must directly support a hypothesis |
| verdict. |
| must_pass: true |
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| - id: req_model_implementation |
| type: artifact |
| description: >- |
| The BSM Lagrangian is implemented either as a FeynRules .fr file |
| (models/*.fr) with a matching UFO directory (models/*_UFO/ containing |
| at least particles.py, parameters.py, couplings.py, vertices.py), OR |
| as analytic Python code that explicitly computes the cross sections |
| from the Lagrangian terms. A pure SM baseline with no BSM piece is |
| NOT sufficient. |
| must_pass: true |
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| - id: req_xsec_Zprime_2TeV |
| type: numeric |
| description: >- |
| results.json metrics MUST report `sigma_pp_to_Zprime_2TeV_panelA_fb` (at M_Z'=2 TeV, g̃=0, g1'=0.10) within ±30% of the published Panel A reference cross section. |
| must_pass: true |
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|
| - id: req_mechanistic_writeup |
| type: discussion |
| description: >- |
| The summary or structured_results section provides a one-paragraph |
| mechanistic interpretation of WHY the headline observable comes out the |
| way it does (which interference / propagator structure / cut effect |
| drives the result). Nice-to-have, not blocking proceed. |
| must_pass: false |
|
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| - id: req_mc_reproducibility |
| type: discussion |
| description: >- |
| results.json or a sibling reproducibility section names: (a) the |
| MadGraph5_aMC@NLO version, (b) the PDF set used (if applicable), (c) |
| at least one explicit random seed. Required for full reproducibility |
| but not for scientific correctness. |
| must_pass: false |
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