Breakdown of Dimensional Regularization in the Sudakov Problem

Preprint

5 August 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9208209

Abstract

An explicit example is presented (a one-loop triangle graph) where dimensional regularization fails to regulate the infra-red singularities that emerge at intermediate steps of studying large-$Q^2$ Sudakov factorization. The mathematical nature of the phenomenon is explained within the framework of the theory of the $As$-operation.

Keywords

DIMENSIONAL REGULARIZATION
REGULARIZATION FAILS
MATHEMATICAL NATURE
EXPLICIT EXAMPLE
SUDAKOV PROBLEM
SINGULARITIES
BREAKDOWN
GRAPH

All Related Versions

Version 1, 1992-08-05, ArXiv
Published version: Physics Letters B, 294 (3-4), 403.

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