Precise numerical evaluation of the two loop sunrise graph master integrals in the equal mass case. 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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References in zbMATH (referenced in 3 articles )
Showing results 1 to 3 of 3.
- Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael: A second-order differential equation for the two-loop sunrise graph with arbitrary masses (2012)
- Bonciani, R.; Ferroglia, A.; Gehrmann, T.; Von Manteuffel, A.; Studerus, C.: Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel (2011)
- Pozzorini, S.; Remiddi, E.: Precise numerical evaluation of the two loop sunrise graph master integrals in the equal mass case (2006)