{
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  "source": "vibemath",
  "problem_id": "vibemathed:single-minus-gluon-amplitudes",
  "title": "Single-Minus Gluon Tree Amplitudes",
  "canonical_statement": "Do the tree-level amplitudes $A_n(1^-, 2^+, \\dots, n^+)$ vanish identically, or can they be nonzero in half-collinear kinematics - and if nonzero, what is their all-$n$ closed form?",
  "plain_summary": "VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
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      "type": "disproved",
      "status": "resolved",
      "occurred_at": "2026-02-12T00:00:00.000Z",
      "title": "arXiv:2602.12176 - Single-minus gluon tree amplitudes are nonzero",
      "summary": "nonzero on half-collinear complex kinematics, with a closed formula",
      "ai_contribution": "ai_discovered",
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        "vibemathed:single-minus-gluon-amplitudes:attempt"
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      "model": "GPT-5.2 Pro",
      "provider": "OpenAI",
      "attempted_at": "2026-02-12T00:00:00.000Z",
      "human_collaborators": [
        "Alfredo Guevara",
        "Alex Lupsasca",
        "David Skinner",
        "Andrew Strominger"
      ],
      "exposure": "unknown",
      "prompt_public": null,
      "outcome": "GPT-5.2 Pro derived the piecewise-constant closed formula for every multiplicity; the authors checked it analytically, including against Weinberg's soft theorem.",
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      "artifacts": [],
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          "label": "arXiv:2602.12176 - Single-minus gluon tree amplitudes are nonzero",
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        },
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      "sources": [
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          "label": "arXiv:2602.12176 - Single-minus gluon tree amplitudes are nonzero",
          "url": "https://arxiv.org/abs/2602.12176",
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      "label": "arXiv:2602.12176 - Single-minus gluon tree amplitudes are nonzero",
      "url": "https://arxiv.org/abs/2602.12176",
      "kind": "primary-mathematical-source",
      "license": null
    },
    {
      "label": "VibeMathed: Single-Minus Gluon Tree Amplitudes",
      "url": "https://vibemathed.com/problem/single-minus-gluon-amplitudes",
      "kind": "source-assertion",
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    }
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    "VibeMath has not independently verified the mathematical claim.",
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  "generated_at": "2026-09-13T16:28:40.178Z"
}