### 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.

Original language | English (US) |
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Pages (from-to) | 403-411 |

Number of pages | 9 |

Journal | Physics Letters B |

Volume | 294 |

Issue number | 3-4 |

DOIs | |

State | Published - Nov 19 1992 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*294*(3-4), 403-411. https://doi.org/10.1016/0370-2693(92)91541-G

}

*Physics Letters B*, vol. 294, no. 3-4, pp. 403-411. https://doi.org/10.1016/0370-2693(92)91541-G

**Breakdown of dimensional regularization in the Sudakov problem.** / Collins, J. C.; Tkachov, F. V.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Breakdown of dimensional regularization in the Sudakov problem

AU - Collins, J. C.

AU - Tkachov, F. V.

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.

UR - http://www.scopus.com/inward/record.url?scp=0008139410&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0008139410&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(92)91541-G

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

M3 - Article

AN - SCOPUS:0008139410

VL - 294

SP - 403

EP - 411

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -