Four-dimensional differential equations for the leading divergences of dimensionally-regulated loop integrals
- Resource Type
- article
- Authors
- Johannes Henn; Rourou Ma; Kai Yan; Yang Zhang
- Source
- Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-20 (2023)
- Subject
- Scattering Amplitudes
Effective Field Theories
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
- Language
- English
- ISSN
- 1029-8479
Abstract 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.