Work

Unregulated divergences of Feynman integrals

Year: 2025
Type: article
Abstract: Feynman integrals can be expanded asymptotically with respect to some small parameters at the integrand level, a technique known as the expansion by regions. A naive expansion by regions may break down due to divergences not regulated by the spacetime dimension, exemplified by the rapidity divergences. A criterion to identify unregulated divergences is provided in this article. The analysis is conducted using both parametric and Mellin-Barnes representations, leading to a consistent conclusion. Based on this analysis, it is proven that the presence of unregulated divergences implies the degeneracies of regions .
Author: Wen Chen
Language: English
Open Access status: diamond
OpenAlex ID: W4407095819
FWCI: 0.954
Cites: 44
Cited by: 2
Related to: 10