Massive non-planar two-loop four-point integrals with SecDec 2.1

TL;DR

This paper demonstrates the use of SecDec 2.1 to numerically evaluate complex massive non-planar two-loop four-point integrals relevant for heavy quark pair production at NNLO, including previously unknown integrals.

Contribution

It introduces new capabilities in SecDec 2.1 for evaluating contracted tensor integrals of unlimited rank, advancing numerical techniques for complex Feynman integrals.

Findings

Numerical results for previously unknown two-loop integrals.

SecDec 2.1 successfully evaluates tensor integrals of unlimited rank.

Enhanced numerical methods for heavy quark production calculations.

Abstract

We present numerical results for massive non-planar two-loop box integrals entering heavy quark pair production at NNLO, some of which are not known analytically yet. The results have been obtained with the program SecDec 2.1, based on sector decomposition and contour deformation, in combination with new types of transformations. Among the new features of version 2.1 is also the possibility to evaluate contracted tensor integrals, with no limitation on the rank.