Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition
High Energy Physics - Phenomenology
2024-10-01 v2
Abstract
Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.
Cite
@article{arxiv.2405.13286,
title = {Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition},
author = {Elise de Doncker and Tadashi Ishikawa and Kiyoshi Kato and Fukuko Yuasa},
journal= {arXiv preprint arXiv:2405.13286},
year = {2024}
}
Comments
14 pages, Replaced by the published version. Several revisions in the text, formulae and figures unchanged