{
  "id": "hep-ph/0211178",
  "version": "v1",
  "published": "2002-11-12T16:13:12.000Z",
  "updated": "2002-11-12T16:13:12.000Z",
  "title": "Numerical evaluation of master integrals from differential equations",
  "authors": [
    "M. Caffo",
    "H. Czyz",
    "E. Remiddi"
  ],
  "comment": "Latex, 5 pages, 4 ps-figures, uses included npb.sty, presented at RADCOR 2002 and Loops and Legs in Quantum Field Theory, 8-13 September 2002, Kloster Banz, Germany",
  "journal": "Nucl.Phys.Proc.Suppl. 116 (2003) 422-426",
  "doi": "10.1016/S0920-5632(03)80212-8",
  "categories": [
    "hep-ph"
  ],
  "abstract": "The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. The particular case of the general massive 2-loop sunrise self-mass diagram is analyzed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-12T16:13:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "master integrals",
      "numerical evaluation",
      "first order differential equations",
      "order runge-kutta method",
      "sunrise self-mass diagram"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 601851
    }
  }
}