Programs in Physics & Physical Chemistry
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Programs in Physics & Physical Chemistry |
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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/ | |
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