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arXiv · 1204.4152

Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0

Sophia Borowka·Jonathon Carter·Gudrun Heinrich
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Abstract

We present the program SecDec 2.0 which contains various new features: First, it allows the numerical evaluation of multi-loop integrals with no restriction on the kinematics. Dimensionally regulated ultraviolet and infrared singularities are isolated via sector decomposition, while threshold singularities are handled by a deformation of the integration contour in the complex plane. As an application we present numerical results for various massive two-loop four-point diagrams. SecDec 2.0 also contains new useful features for the calculation of more general parameter integrals, related e.g. to phase space integrals.

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Sophia Borowka, Jonathon Carter, Gudrun Heinrich. 2012-04-18. Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0. https://doi.org/10.1016/j.cpc.2012.09.020

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