{
  "id": "2403.04614",
  "version": "v1",
  "published": "2024-03-07T15:58:42.000Z",
  "updated": "2024-03-07T15:58:42.000Z",
  "title": "Kinematic Hopf algebra and BCJ numerators at finite $α'$",
  "authors": [
    "Gang Chen",
    "Laurentiu Rodina",
    "Congkao Wen"
  ],
  "comment": "7+5 pages, 0 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "In this letter, starting from a kinematic Hopf algebra, we first construct a closed-form formula for all Bern-Carrasco-Johansson (BCJ) numerators in Yang-Mills (YM) theory with infinite orders of $\\alpha'$ corrections, known as $\\rm DF^2+YM$ theory, when coupled to two heavy particles which can be removed through a simple factorization limit. The full $\\alpha'$ dependence appears simply in massive physical propagator factors, with factorization strongly constraining the construction. The intricate structure induced by the massive poles also naturally leads us to find a novel closed-form and local expression for BCJ numerators in usual pure YM theory, based directly on the kinematic Hopf algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-07T15:58:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kinematic hopf algebra",
      "bcj numerators",
      "usual pure ym theory",
      "simple factorization limit",
      "closed-form formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}