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

Published: 1 February 2013| Version 1 | DOI: 10.17632/s3mnvjm4j5.1
Sophia Borowka, Jonathon Carter, Gudrun Heinrich


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 a... Title of program: SecDec 2.0 Catalogue Id: AEIR_v2_0 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). 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)



Computational Physics, Computer Algebra System, Computational Method, Elementary Particles