Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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Manuscript Title: SecDec: A general program for sector decomposition | ||

Authors: Jonathon Carter, Gudrun Heinrich | ||

Program title: SecDec | ||

Catalogue identifier: AEIR_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 182(2011)1566 | ||

Programming language: Wolfram Mathematica, perl, Fortran. | ||

Computer: From a single PC to a cluster, depending on the problem. | ||

Operating system: Unix, Linux. | ||

RAM: Depends on the complexity of the problem | ||

Keywords: Perturbation theory, Feynman diagrams, infrared singularities, multidimensional parameter integrals, numerical integration. | ||

PACS: 12.38.Bx, 02.60.Jh, 02.70.Wz. | ||

Classification: 4.4, 5, 11.1. | ||

Nature of problem:Extraction of ultraviolet and infrared singularities from parametric integrals appearing in higher order perturbative calculations in gauge theories, e.g. multi-loop Feynman integrals, Wilson loops, phase space integrals. | ||

Solution method:Algebraic extraction of singularities in dimensional regularisation using iterated sector decomposition. This leads to a Laurent series in the dimensional regularisation parameter ε, where the coefficients are finite integrals over the unit-hypercube. Those integrals are evaluated numerically by Monte Carlo integration. | ||

Restrictions:Depending on the complexity of the problem, limited by memory and CPU time. Multi-scale integrals can only be evaluated at Euclidean points. | ||

Running time:Between a few minutes and several days, depending on the complexity of the problem. |

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