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| id: P01 |
| title: "Reproducing the Randall-Sundrum KK-graviton resonance pattern in $e^+e^- \\to \\mu^+\\mu^-$" |
| arxiv_id: "hep-ph/9909255" |
| venue: "ARC-Bench Physics 2026" |
| paper_asset: null |
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| synthesis: | |
| Reproducing the cross-section vs $\sqrt{s}$ scan of $e^+e^- \to \mu^+\mu^-$ |
| in the Randall-Sundrum warped extra dimension scenario as a benchmark of |
| the agent's ability to assemble a full Lagrangian -> MC -> analysis |
| pipeline. The model adds a tower of massive spin-2 KK gravitons |
| $h^{(n)}_{\alpha\beta}$ ($n=1,\ldots,5$) coupled to the SM |
| energy-momentum tensor with strength $1/\Lambda_\pi$, on top of the |
| massless zero-mode coupled with $1/\bar M_{Pl}$. The diagnostic |
| observable is $\sigma(e^+e^- \to \mu^+\mu^-)$ scanned over |
| $\sqrt{s}\in\{200,300,\ldots,1200\}$ GeV, which exhibits sharp |
| resonance peaks at the KK masses $m_n = \{600, 1098, 1592, 2086, 2580\}$ |
| GeV where they sit in the scan window, and an off-resonance continuum |
| enhancement above SM Drell-Yan elsewhere. |
| |
| A credible study (a) implements the spin-2 graviton-stress-tensor |
| Lagrangian (FeynRules + UFO or an equivalent analytic propagator), |
| (b) generates parton-level events at each of the 11 energy points with |
| proper handling of the unitary-gauge graviton propagator, |
| (c) extracts $\sigma(\sqrt{s})$ from the MadGraph banner for each run, |
| (d) plots $\sigma$ vs $\sqrt{s}$ on a log-y axis over [50, 1500] GeV with |
| range $[400, 5\times 10^6]$ fb, and (e) compares the resonance positions |
| and continuum heights against the published Figure 2. Research question: |
| *to what extent does an autonomous HEP pipeline reproduce the RS |
| KK-graviton resonance spectrum imprinted on dilepton production at a |
| 500 GeV-1 TeV $e^+e^-$ collider?* |
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| hypotheses: |
| - id: H1 |
| statement: "The first KK resonance $m_1 = 600$ GeV produces a peak in $\\sigma(e^+e^- \\to \\mu^+\\mu^-)$ at $\\sqrt{s} = 600$ GeV that lies within 5% of the input mass." |
| measurable: true |
| - id: H2 |
| statement: "Off-resonance cross sections at $\\sqrt{s}=200$ and $\\sqrt{s}=400$ GeV agree with the published Figure 2 values within 30%, demonstrating correct continuum (zero-mode + virtual KK) interference." |
| measurable: true |
| - id: H3 |
| statement: "At least 2 of the 5 KK resonances within the [50,1500] GeV scan window ($m_1=600$, $m_2=1098$ GeV) are visible as $\\geq 1$-decade enhancements above the SM Drell-Yan baseline at $\\sqrt{s}=m_n$." |
| measurable: true |
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| experiment_design: |
| research_question: "Does the agent reproduce the Randall-Sundrum KK-graviton resonance pattern in $e^+e^- \\to \\mu^+\\mu^-$ across the $\\sqrt{s}=200$-$1200$ GeV scan, matching the published positions and continuum heights of Figure 2 of arXiv:hep-ph/9909255?" |
| conditions: |
| - name: "sqrt_s_scan" |
| description: "Scan $\\sqrt{s} \\in \\{200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200\\}$ GeV with $E^+ = E^- = \\sqrt{s}/2$, 100 events per energy point. KK masses fixed at $m_n = \\{600, 1098, 1592, 2086, 2580\\}$ GeV; $\\Lambda_\\pi = 522$ GeV; $\\bar M_{Pl} = 2.4 \\times 10^{18}$ GeV." |
| - name: "sm_only_baseline" |
| description: "Same energy scan with all KK gravitons decoupled ($1/\\Lambda_\\pi \\to 0$) to obtain the pure SM $\\gamma^*/Z$ Drell-Yan baseline for resonance-significance comparison." |
| baselines: |
| - "Pure SM $e^+e^- \\to \\mu^+\\mu^-$ (Drell-Yan via $\\gamma^*/Z$) at the same energy points" |
| metrics: |
| - name: "cross_section_pb" |
| direction: "match_reference" |
| description: "Total $\\sigma(e^+e^- \\to \\mu^+\\mu^-)$ in pb at each of the 11 $\\sqrt{s}$ points." |
| - name: "peak_position_gev" |
| direction: "match_reference" |
| description: "Reconstructed $\\sqrt{s}$ at which the first KK resonance peaks; target = $600 \\pm 30$ GeV." |
| - name: "resonance_to_continuum_ratio" |
| direction: "match_reference" |
| description: "Ratio $\\sigma(\\sqrt{s}=m_1) / \\sigma(\\sqrt{s}=m_1 - 200\\,\\mathrm{GeV})$; should exceed $\\sim 10$." |
| datasets: |
| - process_id: "ee_to_mumu_RS" |
| sqrt_s_TeV: 1.2 |
| description: "$e^+e^- \\to \\mu^+\\mu^-$ in the RS warped-graviton model." |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 3600 |
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| rubric_path: "experiments/arc_bench/config/physics/rubrics/P01.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_kk1_peak_position |
| type: numeric |
| description: >- |
| results.json metrics MUST report a numeric `peak_position_gev` (or equivalent first-KK-resonance position) within ±5% of 600 GeV — i.e. in the interval [570, 630] GeV — after the RS scan over √s ∈ {200..1200} GeV. |
| 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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