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

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

2002-03-27

arxiv.org/abs/hep-ph/0203256v1

Nucl.Phys. B634 (2002) 309-325

Physics

High Energy Physics

High Energy Physics - Phenomenology

1+21 pages, Latex, 5 ps-figures

Scientific paper

10.1016/S0550-3213(02)00315-2

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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