Unregulated divergences of Feynman integrals

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 divergenc...

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Bibliographic Details
Published inPhysics letters. B Vol. 862; p. 139299
Main Author Chen, Wen
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2025
Elsevier
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Summary: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.
ISSN:0370-2693
DOI:10.1016/j.physletb.2025.139299