Numerical evaluation of the general massive 2-loop self-mass master integrals from differential equations

Abstract

The system of 4 differential equations in the external invariant satisfied by the 4 master integrals of the general massive 2-loop sunrise self-mass diagram is solved by the Runge-Kutta method in the complex plane. The method offers a reliable and robust approach to the direct and precise numerical evaluation of Feynman graph integrals.Comment: Latex, 2 pages, 1ps-figure, uses included espcrc2.sty, presented at ACAT'2002, VIII International Workshop on Advanced Computing and Analysis Techniques in Physics Research, Moscow, 24-28 June 200