{
  "id": "1512.05630",
  "version": "v1",
  "published": "2015-12-17T15:32:50.000Z",
  "updated": "2015-12-17T15:32:50.000Z",
  "title": "The iterated structure of the all-order result for the two-loop sunrise integral",
  "authors": [
    "Luise Adams",
    "Christian Bogner",
    "Stefan Weinzierl"
  ],
  "comment": "20 pages",
  "categories": [
    "hep-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a method to compute the Laurent expansion of the two-loop sunrise integral with equal non-zero masses to arbitrary order in the dimensional regularisation $\\varepsilon$. This is done by introducing a class of functions (generalisations of multiple polylogarithms to include the elliptic case) and by showing that all integrations can be carried out within this class of functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-17T15:32:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-loop sunrise integral",
      "all-order result",
      "iterated structure",
      "equal non-zero masses",
      "elliptic case"
    ],
    "publication": {
      "doi": "10.1063/1.4944722"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1410114
    }
  }
}