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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.

Restrictions:
Limited by the size of the available storage space.

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

References:
[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/