The triple collinear limit of one-loop QCD amplitudes

We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour space. The collinear singularities are embodied in process-indepe...

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Autores principales: Catani, S., De Florian, D., Rodrigo, G.
Formato: JOUR
Materias:
amplitude modulation
article
color
infrared radiation
mathematical analysis
quark
theoretical model
ultraviolet radiation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03702693_v586_n3-4_p323_Catani
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03702693_v586_n3-4_p323_Catani
record_format dspace
spelling todo:paper_03702693_v586_n3-4_p323_Catani2023-10-03T15:28:54Z The triple collinear limit of one-loop QCD amplitudes Catani, S. De Florian, D. Rodrigo, G. amplitude modulation article color infrared radiation mathematical analysis quark theoretical model ultraviolet radiation We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour space. The collinear singularities are embodied in process-independent splitting matrices that depend on the momenta, flavours, spins and colours of the collinear partons. We give the general structure of the infrared and ultraviolet divergences of the one-loop splitting matrices. We also present explicit one-loop results for the triple collinear splitting, q→qQ̄Q, of a quark and a quark-antiquark pair of different flavours. The one-loop triple collinear splitting is one of the ingredients that can be used to compute the evolution of parton distributions at the next-to-next-to-leading order in QCD perturbation theory. © 2004 Published by Elsevier B.V. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03702693_v586_n3-4_p323_Catani
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic amplitude modulation
article
color
infrared radiation
mathematical analysis
quark
theoretical model
ultraviolet radiation
spellingShingle amplitude modulation
article
color
infrared radiation
mathematical analysis
quark
theoretical model
ultraviolet radiation
Catani, S.
De Florian, D.
Rodrigo, G.
The triple collinear limit of one-loop QCD amplitudes
topic_facet amplitude modulation
article
color
infrared radiation
mathematical analysis
quark
theoretical model
ultraviolet radiation
description We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour space. The collinear singularities are embodied in process-independent splitting matrices that depend on the momenta, flavours, spins and colours of the collinear partons. We give the general structure of the infrared and ultraviolet divergences of the one-loop splitting matrices. We also present explicit one-loop results for the triple collinear splitting, q→qQ̄Q, of a quark and a quark-antiquark pair of different flavours. The one-loop triple collinear splitting is one of the ingredients that can be used to compute the evolution of parton distributions at the next-to-next-to-leading order in QCD perturbation theory. © 2004 Published by Elsevier B.V.
format JOUR
author Catani, S.
De Florian, D.
Rodrigo, G.
author_facet Catani, S.
De Florian, D.
Rodrigo, G.
author_sort Catani, S.
title The triple collinear limit of one-loop QCD amplitudes
title_short The triple collinear limit of one-loop QCD amplitudes
title_full The triple collinear limit of one-loop QCD amplitudes
title_fullStr The triple collinear limit of one-loop QCD amplitudes
title_full_unstemmed The triple collinear limit of one-loop QCD amplitudes
title_sort triple collinear limit of one-loop qcd amplitudes
url http://hdl.handle.net/20.500.12110/paper_03702693_v586_n3-4_p323_Catani
work_keys_str_mv AT catanis thetriplecollinearlimitofoneloopqcdamplitudes
AT defloriand thetriplecollinearlimitofoneloopqcdamplitudes
AT rodrigog thetriplecollinearlimitofoneloopqcdamplitudes
AT catanis triplecollinearlimitofoneloopqcdamplitudes
AT defloriand triplecollinearlimitofoneloopqcdamplitudes
AT rodrigog triplecollinearlimitofoneloopqcdamplitudes
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