Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit express...

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Detalles Bibliográficos
Autores principales: Catani, Stefano, Grazzini, Massimiliano
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(98)01513-5
http://cds.cern.ch/record/368357
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author Catani, Stefano
Grazzini, Massimiliano
author_facet Catani, Stefano
Grazzini, Massimiliano
author_sort Catani, Stefano
collection CERN
description We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to ${\cal O}(\as^2)$. In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3683572021-10-08T02:19:24Zdoi:10.1016/S0370-2693(98)01513-5http://cds.cern.ch/record/368357engCatani, StefanoGrazzini, MassimilianoCollinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD CalculationsParticle Physics - PhenomenologyWe consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to ${\cal O}(\as^2)$. In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to ${\cal O}(\as^2)$. In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to ${\cal O}(\as^2)$. In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to O (α S 2 ) . In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.hep-ph/9810389CERN-TH-98-325ETH-TH-98-27CERN-TH-98-325ETH-TH-98-27oai:cds.cern.ch:3683571998-10-19
spellingShingle Particle Physics - Phenomenology
Catani, Stefano
Grazzini, Massimiliano
Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
title Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
title_full Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
title_fullStr Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
title_full_unstemmed Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
title_short Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
title_sort collinear factorization and splitting functions for next-to-next-to-leading order qcd calculations
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(98)01513-5
http://cds.cern.ch/record/368357
work_keys_str_mv AT catanistefano collinearfactorizationandsplittingfunctionsfornexttonexttoleadingorderqcdcalculations
AT grazzinimassimiliano collinearfactorizationandsplittingfunctionsfornexttonexttoleadingorderqcdcalculations

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