Programs in Physics & Physical Chemistry
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Programs in Physics & Physical Chemistry |
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| Manuscript Title: AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals | ||
| Authors: J. Gluza, K. Kajda, T. Riemann | ||
| Program title: AMBRE | ||
| Catalogue identifier: ADZR_v1_0 Distribution format: tar.gz | ||
| Journal reference: Comput. Phys. Commun. 177(2007)879 | ||
| Programming language: MATHEMATICA v.5.0 and later versions. | ||
| Computer: All. | ||
| Operating system: All. | ||
| RAM: sufficient for a typical installation of MATHEMATICA | ||
| Keywords: perturbative quantum field theory, Mellin-Barnes integrals, Feynman integrals. | ||
| PACS: 12.38.Bx. | ||
| Classification: 5, 11.1. | ||
External routines: The examples in the package use: MB.m [1],for expansions in ε CUBA [2], for numerical evaluation of multidimensional integrals; CERNlib [3], for the implementation of Γ and Ψ functions in Fortran. | ||
Nature of problem: Derivation of a representation for a Feynman diagram with L loops and N internal lines in d dimensions by Mellin-Barnes integrals; the subsequent evaluation, after an analytical continuation in ε = (4 -d)/2, has to be done with other packages. | ||
Solution method: Introduction of N Feynman parameters xi, integration over the loop momenta, and subsequent integration over x, introducing thereby representations of sums of monomials in x by Mellin-Barnes integrals. | ||
Restrictions: Limited by the size of the available storage space. | ||
Running time: Depending on the problem; usually seconds. | ||
References: | ||
| [1] | M. Czakon, Comput. Phys. Commun. 175 (2006) 559 (CPC Cat. Id. ADYG) | |
| [2] | T. Hahn, Comput. Phys. Commun. 168 (2005) 78 (CPC Cat. Id. ADVH) | |
| [3] | CERN Program Library, http://cernlib.web.cern.ch/cernlib/ | |
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