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

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

2002-11-12

arxiv.org/abs/hep-ph/0211171v1

Nucl.Instrum.Meth. A502 (2003) 613-614

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 2 pages, 1ps-figure, uses included espcrc2.sty, presented at ACAT'2002, VIII International Workshop on Advanced Computi

Scientific paper

10.1016/S0168-9002(03)00520-5

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.

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