Breakdown of Dimensional Regularization in the Sudakov Problem

Details Breakdown of Dimensional Regularization in the Sudakov Problem Breakdown of Dimensional Regularization in the Sudakov Problem

1992-08-05

arxiv.org/abs/hep-ph/9208209v1

Phys.Lett. B294 (1992) 403-411

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages + 3 figures (not included), LaTeX

Scientific paper

10.1016/0370-2693(92)91541-G

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.

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