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

Michele Caffo
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Abstract

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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Michele Caffo. 2003-11-04. Numerical evaluation of some master integrals for the 2-loop general massive self-mass from differential equations. https://arxiv.org/abs/hep-ph/0311052

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