{
  "id": "1302.7004",
  "version": "v1",
  "published": "2013-02-27T21:07:32.000Z",
  "updated": "2013-02-27T21:07:32.000Z",
  "title": "The two-loop sunrise graph with arbitrary masses",
  "authors": [
    "Luise Adams",
    "Christian Bogner",
    "Stefan Weinzierl"
  ],
  "comment": "24 pages",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We discuss the analytical solution of the two-loop sunrise graph with arbitrary non-zero masses in two space-time dimensions. The analytical result is obtained by solving a second-order differential equation. The solution involves elliptic integrals and in particular the solutions of the corresponding homogeneous differential equation are given by periods of an elliptic curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-27T21:07:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.10.Ox",
      "02.30.Rz",
      "02.30.Hq"
    ],
    "keywords": [
      "two-loop sunrise graph",
      "arbitrary masses",
      "arbitrary non-zero masses",
      "second-order differential equation",
      "elliptic curve"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4804996",
      "journal": "Journal of Mathematical Physics",
      "year": 2013,
      "month": "May",
      "volume": 54,
      "number": 5,
      "pages": 2303
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1221753,
      "adsabs": "2013JMP....54e2303A"
    }
  }
}