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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Detalles Bibliográficos
Publicado: 2004
Materias:
amplitude modulation
article
color
infrared radiation
mathematical analysis
quark
theoretical model
ultraviolet radiation
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v586_n3-4_p323_Catani
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 paper:paper_03702693_v586_n3-4_p323_Catani
record_format dspace
spelling paper:paper_03702693_v586_n3-4_p323_Catani2023-06-08T15:36:41Z The triple collinear limit of one-loop QCD amplitudes 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v586_n3-4_p323_Catani 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
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.
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
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v586_n3-4_p323_Catani
http://hdl.handle.net/20.500.12110/paper_03702693_v586_n3-4_p323_Catani
_version_ 1768545557962293248

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