SecDec: A general program for sector decomposition
Jonathon Carter, Gudrun Heinrich
TL;DR
SecDec is a versatile software tool that numerically evaluates multi-dimensional integrals with singularities by sector decomposition, applicable to multi-loop and phase space integrals in physics.
Contribution
It introduces a general program that automates sector decomposition for numerical evaluation of complex parametric integrals with singularities.
Findings
Successfully evaluates multi-loop integrals in Euclidean space
Handles singularities via dimensional regularisation
Provides Laurent series coefficients for integrals
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.
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