Four-dimensional differential equations for the leading divergences of dimensionally-regulated loop integrals

Autor:	Henn, Johannes, Ma, Rourou, Yan, Kai, Zhang, Yang
Rok vydání:	2022
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP03(2023)162
Popis:	We invent an automated method for computing the divergent part of Feynman integrals in dimensional regularization. Our method exploits simplifications from four-dimensional integration-by-parts identities. Leveraging algorithms from the literature, we show how to find simple differential equations for the divergent part of Feynman integrals. We illustrate the method by an application to heavy quark effective theory at three loops. Comment: third version with minor changes and two additional supplemental directories
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.13967 Zobrazit plný text záznamu View this record from Arxiv