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

A bstract 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 e...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2023; no. 3; pp. 162 - 20
Main Authors Henn, Johannes, Ma, Rourou, Yan, Kai, Zhang, Yang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 22.03.2023
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Automation
Classical and Quantum Gravitation
Cosmology
Differential equations
Effective Field Theories
Elementary Particles
High energy physics
Integrals
Laboratories
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Radiation
Regular Article - Theoretical Physics
Regularization
Relativity Theory
Scattering Amplitudes
String Theory
Effective Field Theories
Scattering Amplitudes
Online AccessGet full text
ISSN1029-8479
1126-6708
1127-2236
1029-8479
DOI10.1007/JHEP03(2023)162

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Summary:A bstract 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 that are free of subdivergences. We illustrate the method by an application to heavy quark effective theory at three loops.
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ISSN:1029-8479
1126-6708
1127-2236
1029-8479
DOI:10.1007/JHEP03(2023)162