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.

Comments: 12 pages + 3 figures (not included), LaTeX