Breakdown of dimensional regularization in the Sudakov problem

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 t...

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Bibliographic Details
Published in:Physics letters. B 1992-11, Vol.294 (3), p.403-411
Main Authors: Collins, J.C., Tkachov, F.V.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(92)91541-G