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Manuscript Title: Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case
Authors: S. Pozzorini, E. Remiddi
Program title: sunem
Catalogue identifier: ADYC_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 175(2006)381
Programming language: Fortran 77.
Computer: all.
Operating system: all.
RAM: 1532k
Word size: up to 32
Keywords: multi-loop Feynman integrals, differential equations.
PACS: 02.30.Hq, 02.30.Mv, 02.60.-x, 12.15.Lk.
Classification: 4.4.

Nature of problem:
Numerical evaluation of the two Master Integrals of the equal mass two-loop sunrise Feynman graph for arbitrary momentum transfer in d = 2 and d = 4 dimensions.

Solution method:
Accelerated power series expansions obtained by solving the differential equations for the MIs at their singular points. With a maximum of 22 terms for the worse case expansion a relative precision of better than a part in 1015 is achieved for arbitrary real values of the momentum transfer.

Limited to real momentum transfer and equal internal masses.

Running time:
Approximately 1 μs to evaluate the four Master integrals for a fixed momentum transfer value on a Pentium IV/3 GHz Linux PC.