{
  "id": "2104.07488",
  "version": "v1",
  "published": "2021-04-15T14:33:34.000Z",
  "updated": "2021-04-15T14:33:34.000Z",
  "title": "The H-graph with equal masses in terms of multiple polylogarithms",
  "authors": [
    "Philipp Alexander Kreer",
    "Stefan Weinzierl"
  ],
  "comment": "19 pages",
  "categories": [
    "hep-ph",
    "gr-qc",
    "hep-th"
  ],
  "abstract": "The initial phase of the inspiral process of a binary system producing gravitational waves can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph contributes. We consider the case where the two objects making up the binary system have equal masses. We express all master integrals related to the equal-mass H-graph up to weight four in terms of multiple polylogarithms. We provide a numerical program which evaluates all master integrals up to weight four in the physical regions with arbitrary precision.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-15T14:33:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equal masses",
      "multiple polylogarithms",
      "master integrals",
      "binary system producing gravitational waves",
      "third post-minkowskian order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}