{
  "abstract": "We show that the subleading collinear sector of Yang-Mills (YM) amplitudes is controlled by ordinary Einstein-Yang-Mills (EYM) amplitudes and their higher-derivative corrections. The complete set of strict subleading collinear limits associated with an equal-helicity collinear pair can be extracted from open-closed string disk amplitudes. The latter generate $\\frac12 (n-3)!$ BCJ-like relations with non-linear kinematic coefficients, reducing the $(n-3)!$ collinear data to a basis of dimension $\\frac12 (n-3)!$. This reduced basis can be represented by gravitational amplitudes in EYM theories and by their higher-derivative open-string corrections. At multiplicity $n$ this gravitational basis consists of the $(n-4)!$ independent EYM subamplitudes together with $\\frac12 (n-5)(n-4)!$ higher-order corrections involving one graviton and $n-2$ gluons. The resulting decomposition is governed by unsigned Stirling numbers of the first kind: the ordinary EYM amplitudes correspond to the sector $\\left[{n-3\\atop 1}\\right]$, the higher-order BCJ-like relations to even sectors $\\left[{n-3\\atop 2j}\\right]$, and the higher-derivative EYM corrections to odd sectors $\\left[{n-3\\atop 2j+1}\\right]$ with $j\\geq 1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00153",
  "author_total": 2,
  "authors": [
    {
      "name": "Jin Dong"
    },
    {
      "name": "Stephan Stieberger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ff3j1c52r352e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00153",
  "fulltext_url": null,
  "id": "ff3j1c52r352e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00153",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
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      "arxiv",
      "hep-th"
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    [
      "arxiv",
      "math.AG"
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      "arxiv",
      "math.CO"
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      "openalex",
      "3106|Black Holes and Theoretical Physics"
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  "openalex": "W7206149542",
  "pdf_url": "https://arxiv.org/pdf/2609.00153",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ff3j1c52r352e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.00153",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00153"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity",
  "title_text": "Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/ff3j1c52r352e",
  "venue": "arXiv",
  "versions": []
}