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

31 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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10.1016/0370-2693(92)91541-G

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@article{d87e15cad7754100b21c654847f48e73,

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.",

author = "Collins, \{J. C.\} and Tkachov, \{F. V.\}",

note = "Funding Information: One of the authors (F T ) is grateful for hospitahty to the Physics Department of Penn State University and to the Theory Division of Fermilab where parts of this work were done, and to A V Radyushkin for an dluml-nating discussion This work was supported in part by the US Department of Energy under grant DE-FG02-90ER-40577, and by the Texas National Laboratory Research Commission, as part of the CTEQ collaboration",

year = "1992",

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doi = "10.1016/0370-2693(92)91541-G",

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T1 - Breakdown of dimensional regularization in the Sudakov problem

AU - Collins, J. C.

AU - Tkachov, F. V.

N1 - Funding Information: One of the authors (F T ) is grateful for hospitahty to the Physics Department of Penn State University and to the Theory Division of Fermilab where parts of this work were done, and to A V Radyushkin for an dluml-nating discussion This work was supported in part by the US Department of Energy under grant DE-FG02-90ER-40577, and by the Texas National Laboratory Research Commission, as part of the CTEQ collaboration

PY - 1992/11/19

Y1 - 1992/11/19

N2 - 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.

AB - 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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DO - 10.1016/0370-2693(92)91541-G

M3 - Article

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VL - 294

SP - 403

EP - 411

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

Breakdown of dimensional regularization in the Sudakov problem

Abstract

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