SecDec: A general program for sector decomposition

Published: 1 July 2011| Version 1 | DOI: 10.17632/59m7gctw94.1
Jonathon Carter, Gudrun Heinrich


Abstract We present a program for the numerical evaluation of multi-dimensional polynomial parameter integrals. Singularities regulated by dimensional regularisation are extracted using iterated sector decomposition. The program evaluates the coefficients of a Laurent series in the regularisation parameter. It can be applied to multi-loop integrals in Euclidean space as well as other parametric integrals, e.g. phase space integrals. Title of program: SecDec Catalogue Id: AEIR_v1_0 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. Versions of this program held in the CPC repository in Mendeley Data AEIR_v1_0; SecDec; 10.1016/j.cpc.2011.03.026 AEIR_v2_0; SecDec 2.0; 10.1016/j.cpc.2012.09.020 AEIR_v2_1; SecDec 2.1; 10.1016/j.cpc.2013.05.022 AEIR_v3_0; SecDec 3.0; 10.1016/j.cpc.2015.05.022 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)



Computational Physics, Computer Algebra System, Computational Method, Elementary Particles