Numerical Computation of Two-loop Box Diagrams with Masses
arXiv:1112.0637 · doi:10.1016/j.cpc.2012.05.018
Abstract
A new approach is presented to evaluate multi-loop integrals, which appear in the calculation of cross-sections in high-energy physics. It relies on a fully numerical method and is applicable to a wide class of integrals with various mass configurations. As an example, the computation of two-loop planar and non-planar box diagrams is shown. The results are confirmed by comparisons with other techniques, including the reduction method, and by a consistency check using the dispersion relation.
16 pages, 8 figures