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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/