Breakdown of dimensional regularization in the Sudakov problem

J. C. Collins; F. V. Tkachov

doi:10.1016/0370-2693(92)91541-G

Breakdown of dimensional regularization in the Sudakov problem

J. C. Collins, F. V. Tkachov

Physics

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

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-Q² Sudakov factorization. The mathematical nature of the phenomenon is explained within the framework of the theory of the As-operation.

Original language	English (US)
Pages (from-to)	403-411
Number of pages	9
Journal	Physics Letters B
Volume	294
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)91541-G
State	Published - Nov 19 1992

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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title = "Breakdown of dimensional regularization in the Sudakov problem",

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-Q2 Sudakov factorization. The mathematical nature of the phenomenon is explained within the framework of the theory of the As-operation.",

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