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

Published: 01-11-2013| Version 1 | DOI: 10.17632/c4855tkr3x.1
Sophia Borowka,
Gudrun Heinrich


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. ... Title of program: SecDec 2.1 Catalogue Id: AEIR_v2_1 Nature of problem Extraction of ultraviolet and infrared singularities from parametric integrals appearing in higher order perturbative calculations in gauge theories. Numerical integration in the presence of integrable singularities (e.g. kinematic thresholds in massive multi-loop integrals). Flexibility to treat non-standard user defined functions Versions of this program held in the CPC repository in Mendeley Data AEIR_v1_0; SecDec; 10.1016/j.cpc.2011.03.026 AEIR_v2_0; SecDec 2.0; 10.1016/j.cpc.2012.09.020 AEIR_v2_1; SecDec 2.1; 10.1016/j.cpc.2013.05.022 AEIR_v3_0; SecDec 3.0; 10.1016/j.cpc.2015.05.022 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)