arXiv:1112.0637·v2·High Energy Physics — Phenomenology
Numerical Computation of Two-loop Box Diagrams with Masses
F. Yuasa🇯🇵 · E. de Doncker🇺🇸 · N. Hamaguchi🇯🇵 · T. Ishikawa🇯🇵 · K. Kato🇯🇵 · Y. Kurihara🇯🇵 · J. Fujimoto🇯🇵 · Y. Shimizu🇯🇵
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.
Comments: 16 pages, 8 figures