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.

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 2002

References in corpus (6)

• Differential Equations for Feynman Graph Amplitudes
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• An Approach Toward the Numerical Evaluation of Multi-Loop Feynman Diagrams
• Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations
• The Pseudothreshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes
• The Threshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes

Cited by in corpus (4)

• Feynman Diagrams and Differential Equations
• BOKASUN: a fast and precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams
• Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations
• Progress in multiloop calculations