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

TL;DR

SecDec 2.0 is a software tool that enables the numerical evaluation of complex multi-loop integrals across arbitrary kinematic configurations, handling singularities and threshold effects with new features.

Contribution

It introduces new capabilities for SecDec to evaluate multi-loop integrals without kinematic restrictions and improves handling of singularities and parameter integrals.

Findings

Numerical results for massive two-loop four-point diagrams.

Effective handling of threshold singularities via contour deformation.

Enhanced features for phase space and parameter integrals.

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.