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Manuscript Title: Automatized analytic continuation of Mellin-Barnes integrals
Authors: M. Czakon
Program title: MB
Catalogue identifier: ADYG_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 175(2006)559
Programming language: MATHEMATICA, Fortran 77 for numerical evaluation.
Computer: All computers running MATHEMATICA.
Operating system: All systems running MATHEMATICA.
RAM: Sufficient for a typical installation of MATHEMATICA.
Keywords: Mellin-Barnes integrals, analytic continuation, numerical evaluation, Feynman integrals.
PACS: 89.20.Ff, 12.38.Bx, 11.55.Bq.
Classification: 4.4.

External routines: CERNlib [2] for the implementation of Γ and ψ functions in Fortran. In addition, the CPC Library program, CUBA [1](see below), is required for numerical evaluation of multidimensional integrals.

Subprograms used:
Cat Id Title Reference
ADVH_v1_0 CUBA CPC 168(2005)78

Nature of problem:
Analytic continuation of Mellin-Barnes integrals in a parameter and subsequent numerical evaluation. This is necessary for evaluation of Feynman integrals from Mellin-Barnes representations.

Solution method:
Recursive accumulation of residue terms occurring when singularities cross integration contours. Numerical integration of multidimensional integrals with the help of the CUBA library.

Limited by the size of the available storage space.

Running time:
Depending on the problem. Usually seconds for moderate dimensionality integrals.

[1] T. Hahn, CUBA: A library for multidimensional numerical integration,Comput. Phys.Commun. 168(2005)78.
[2] CERN Program Library, obtainable from http://cernlib.web.cern.ch/cernlib/