One-loop Integrals from Volumes of Orthoschemes
High Energy Physics - Theory
2024-04-15 v2
Abstract
Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges. Furthermore, we evaluate the general six-dimensional hexagon integral in terms of classical polylogarithms.
Cite
@article{arxiv.2306.04630,
title = {One-loop Integrals from Volumes of Orthoschemes},
author = {Lecheng Ren and Marcus Spradlin and Cristian Vergu and Anastasia Volovich},
journal= {arXiv preprint arXiv:2306.04630},
year = {2024}
}
Comments
20 pages, 1 figure; v2: minor typos corrected and references added