Factorization violation in the multiparton collinear limit

We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurationswhere two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in the collinear limit is encoded by collinear splitting matric...

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Autores principales: Catani, S., De Florian, D., Rodrigo, G.
Formato: CONF
Materias:
Elementary particles
Factorization
Quantum theory
Factorization formulas
Perturbative calculations
Quantum numbers
Remaining effects
Scattering amplitudes
Tree level
Matrix algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_18248039_vPartF127172_n_p_Catani
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_18248039_vPartF127172_n_p_Catani2023-10-03T16:33:08Z Factorization violation in the multiparton collinear limit Catani, S. De Florian, D. Rodrigo, G. Elementary particles Factorization Quantum theory Factorization formulas Perturbative calculations Quantum numbers Remaining effects Scattering amplitudes Tree level Matrix algebra We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurationswhere two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in the collinear limit is encoded by collinear splitting matrices. In the space-like region and beyond the tree level, the collinear splitting matrices depend also on the momenta and quantum numbers of the non-collinear partons, thus breaking strict collinear factorization. Although the factorization breaking contribution partly cancels for squared amplitudes, due to its one-loop absorptive origin, remaining effects at high perturbative orders have implications on the non-Abelian structure of logarithmically-enhanced terms in perturbative calculations and on various factorization issues of mass singularities. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_18248039_vPartF127172_n_p_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 Elementary particles
Factorization
Quantum theory
Factorization formulas
Perturbative calculations
Quantum numbers
Remaining effects
Scattering amplitudes
Tree level
Matrix algebra
spellingShingle Elementary particles
Factorization
Quantum theory
Factorization formulas
Perturbative calculations
Quantum numbers
Remaining effects
Scattering amplitudes
Tree level
Matrix algebra
Catani, S.
De Florian, D.
Rodrigo, G.
Factorization violation in the multiparton collinear limit
topic_facet Elementary particles
Factorization
Quantum theory
Factorization formulas
Perturbative calculations
Quantum numbers
Remaining effects
Scattering amplitudes
Tree level
Matrix algebra
description We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurationswhere two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in the collinear limit is encoded by collinear splitting matrices. In the space-like region and beyond the tree level, the collinear splitting matrices depend also on the momenta and quantum numbers of the non-collinear partons, thus breaking strict collinear factorization. Although the factorization breaking contribution partly cancels for squared amplitudes, due to its one-loop absorptive origin, remaining effects at high perturbative orders have implications on the non-Abelian structure of logarithmically-enhanced terms in perturbative calculations and on various factorization issues of mass singularities. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
format CONF
author Catani, S.
De Florian, D.
Rodrigo, G.
author_facet Catani, S.
De Florian, D.
Rodrigo, G.
author_sort Catani, S.
title Factorization violation in the multiparton collinear limit
title_short Factorization violation in the multiparton collinear limit
title_full Factorization violation in the multiparton collinear limit
title_fullStr Factorization violation in the multiparton collinear limit
title_full_unstemmed Factorization violation in the multiparton collinear limit
title_sort factorization violation in the multiparton collinear limit
url http://hdl.handle.net/20.500.12110/paper_18248039_vPartF127172_n_p_Catani
work_keys_str_mv AT catanis factorizationviolationinthemultipartoncollinearlimit
AT defloriand factorizationviolationinthemultipartoncollinearlimit
AT rodrigog factorizationviolationinthemultipartoncollinearlimit
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