Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case

Details Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case

2005-05-06

arxiv.org/abs/hep-ph/0505041v1

Comput.Phys.Commun. 175 (2006) 381-387

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX. The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/ and the

Scientific paper

10.1016/j.cpc.2006.05.005

We present a double precision routine in Fortran for the precise and fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop sunrise graph for arbitrary momentum transfer in d=2 and d=4 dimensions. The routine implements the accelerated power series expansions obtained by solving the corresponding differential equations for the MIs at their singular points. With a maximum of 22 terms for the worst case expansion a relative precision of better than a part in 10^{15} is achieved for arbitrary real values of the momentum transfer.

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