The triple collinear limit of one-loop QCD amplitudes

Autores
Catani, Stefano; de Florian, Daniel Enrique; Rodrigo, Germán
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Catani, Stefano. Università degli Studi di Firenze; Italia
Fil: de Florian, Daniel Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Rodrigo, Germán. Cern - European Organization For Nuclear Research; Suiza
Materia
Triple
Collinear
Amplitudes
Qcd
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/75108
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75108
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The triple collinear limit of one-loop QCD amplitudesCatani, Stefanode Florian, Daniel EnriqueRodrigo, GermánTripleCollinearAmplitudesQcdhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.Fil: Catani, Stefano. Università degli Studi di Firenze; ItaliaFil: de Florian, Daniel Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Rodrigo, Germán. Cern - European Organization For Nuclear Research; SuizaElsevier Science2004-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75108Catani, Stefano; de Florian, Daniel Enrique; Rodrigo, Germán; The triple collinear limit of one-loop QCD amplitudes; Elsevier Science; Physics Letters B; 586; 3-4; 4-2004; 323-3310370-2693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2004.02.039info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0370269304003375info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:38Zoai:ri.conicet.gov.ar:11336/75108instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:09:38.553CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The triple collinear limit of one-loop QCD amplitudes
title The triple collinear limit of one-loop QCD amplitudes
spellingShingle The triple collinear limit of one-loop QCD amplitudes
Catani, Stefano
Triple
Collinear
Amplitudes
Qcd
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 The triple collinear limit of one-loop QCD amplitudes
dc.creator.none.fl_str_mv Catani, Stefano
de Florian, Daniel Enrique
Rodrigo, Germán
author Catani, Stefano
author_facet Catani, Stefano
de Florian, Daniel Enrique
Rodrigo, Germán
author_role author
author2 de Florian, Daniel Enrique
Rodrigo, Germán
author2_role author
author
dc.subject.none.fl_str_mv Triple
Collinear
Amplitudes
Qcd
topic Triple
Collinear
Amplitudes
Qcd
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Catani, Stefano. Università degli Studi di Firenze; Italia
Fil: de Florian, Daniel Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Rodrigo, Germán. Cern - European Organization For Nuclear Research; Suiza
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.
publishDate 2004
dc.date.none.fl_str_mv 2004-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/75108
Catani, Stefano; de Florian, Daniel Enrique; Rodrigo, Germán; The triple collinear limit of one-loop QCD amplitudes; Elsevier Science; Physics Letters B; 586; 3-4; 4-2004; 323-331
0370-2693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75108
identifier_str_mv Catani, Stefano; de Florian, Daniel Enrique; Rodrigo, Germán; The triple collinear limit of one-loop QCD amplitudes; Elsevier Science; Physics Letters B; 586; 3-4; 4-2004; 323-331
0370-2693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2004.02.039
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0370269304003375
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842270089228845056
score 13.13397

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