Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case
S. Pozzorini, E. Remiddi
Abstract
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 1015 is achieved for arbitrary real values of the momentum transfer.
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