4.7 Article

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

Journal

COMPUTER PHYSICS COMMUNICATIONS
Volume 175, Issue 5, Pages 381-387

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2006.05.005

Keywords

radiative corrections; Feynman diagrams; two-loop calculations; master integrals; differential equations

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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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