{
  "id": "1510.02048",
  "version": "v1",
  "published": "2015-10-07T18:06:40.000Z",
  "updated": "2015-10-07T18:06:40.000Z",
  "title": "The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms",
  "authors": [
    "Luise Adams",
    "Christian Bogner",
    "Stefan Weinzierl"
  ],
  "comment": "5 pages, no figures, proceeding to the conference 'Matter To The Deepest', Sept 14-18, 2015, Ustro\\'n, Poland",
  "categories": [
    "hep-ph"
  ],
  "abstract": "In this talk we discuss the solution for the sunrise integral around two and four space-time dimensions in terms of a generalised elliptic version of the multiple polylogarithms. In two space-time dimensions we obtain a sum of three elliptic dilogarithms. The arguments of the elliptic dilogarithms have a nice geometric interpretation. In four space-time dimensions the sunrise integral can be expressed with the $\\epsilon^0$- and $\\epsilon^1$-solution around two dimensions, mass derivatives thereof and simpler terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T18:06:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Bx"
    ],
    "keywords": [
      "space-time dimensions",
      "sunrise integral",
      "elliptic polylogarithms",
      "elliptic dilogarithms",
      "mass derivatives thereof"
    ],
    "tags": [
      "conference paper"
    ],
    "publication": {
      "doi": "10.5506/APhysPolB.46.2131"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1396579
    }
  }
}