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Massive non-planar two-loop four-point integrals with SecDec 2.1. (English) Zbl 1349.81012

Summary: 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.

MSC:

81-04 Software, source code, etc. for problems pertaining to quantum theory
81-08 Computational methods for problems pertaining to quantum theory
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81T18 Feynman diagrams
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