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-$Q^2$ Sudakov factorization. The mathematical nature of the phenomenon is explained within the framework of the theory of the $As$-operation.

12 pages + 3 figures (not included), LaTeX

References in corpus (1)

• Euclidean asymptotic expansions of Green functions of quantum fields (I) Expansions of products of singular functions

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