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

M. Caffo, H. Czyz, E. Remiddi

hep-pharXiv:hep-ph/0203256

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, whose features are discussed in details, offers a reliable and robust approach to the direct and precise numerical evaluation of Feynman graph integrals.

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