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

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

2003-11-04

arxiv.org/abs/hep-ph/0311052v1

Acta Phys.Polon. B34 (2003) 5357-5364

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 8 pag., 3 fig., uses appolb.cls, Presented at Matter To The Deepest, XXVII ICTP, Ustron (Poland), 15-21 Sept 2003

Scientific paper

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. Some results obtained for the 2-loop self-mass MI are reviewed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.

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