# ============================================================================ # P01 — Kaluza-Klein graviton dimuon resonances at e+e- collider (RS model) # ---------------------------------------------------------------------------- # Adapts ColliderAgent paper-reproduction prompt: # /home/shiqiu/ColliderAgent/paper-reproduction/9909255/prompt_figure_2.md # Source: arXiv:hep-ph/9909255 (Davoudiasl, Hewett, Rizzo) — Randall-Sundrum # warped extra dimension phenomenology at lepton colliders. # ============================================================================ 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 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?* 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 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 rubric_path: "experiments/arc_bench/config/physics/rubrics/P01.json" # --------------------------------------------------------------------------- # Agent-mode requirements (consumed by researchclaw.pipeline.requirements_judge # at stage 15 RESEARCH_DECISION). Schema mirrors B01.yaml: # id — stable identifier # type — advisory hint to the LLM judge (numeric | artifact | discussion) # description — natural-language statement of what must be true post-run # must_pass — true → unmet ⇒ rerun (1 retry max); false → optional # # The five generic must_pass items apply uniformly across P01-P10; the sixth # is topic-specific (mirrors this manifest's H1). The two must_pass=false # items reward mechanistic interpretation and MC-reproducibility metadata # without blocking proceed-vs-rerun on them. # --------------------------------------------------------------------------- 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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