Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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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_0Distribution 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 10 ^{15} is achieved for arbitrary real values of the momentum transfer. | ||

Restrictions: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. |

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