NLO QCD corrections to triple collinear splitting functions

In this article, we study the triple-collinear limit of scattering amplitudes, focusing the discussion in processes which include at least one photon. To deal with infrared divergences we applied dimensional regularization (DREG) and we worked in the time-like (TL) kinematical region in order to ens...

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Autor principal: Sborlini, G.F.R.
Formato: JOUR
Materias:
Hadronic collisions
NLO computations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24056014_v273-275_n_p2003_Sborlini
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_24056014_v273-275_n_p2003_Sborlini2023-10-03T16:41:22Z NLO QCD corrections to triple collinear splitting functions Sborlini, G.F.R. Hadronic collisions NLO computations In this article, we study the triple-collinear limit of scattering amplitudes, focusing the discussion in processes which include at least one photon. To deal with infrared divergences we applied dimensional regularization (DREG) and we worked in the time-like (TL) kinematical region in order to ensure the validity of strict-collinear factorization. Both polarized and unpolarized splitting functions were obtained using independent codes, which allowed to implement a first cross-check among them. The divergent structure of all the triple-collinear splittings was compared with the Catani's formula, and we found a complete agreement. Moreover, in the polarized case, this comparison imposed additional constraints in the finite part of some master integrals (MI). The analysis of photon-started splittings led to very compact expressions, because of gauge invariance. These contributions were identified with the Abelian terms of the remaining splitting functions, which constitutes another cross-check of the results. © 2015 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_24056014_v273-275_n_p2003_Sborlini
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hadronic collisions
NLO computations
spellingShingle Hadronic collisions
NLO computations
Sborlini, G.F.R.
NLO QCD corrections to triple collinear splitting functions
topic_facet Hadronic collisions
NLO computations
description In this article, we study the triple-collinear limit of scattering amplitudes, focusing the discussion in processes which include at least one photon. To deal with infrared divergences we applied dimensional regularization (DREG) and we worked in the time-like (TL) kinematical region in order to ensure the validity of strict-collinear factorization. Both polarized and unpolarized splitting functions were obtained using independent codes, which allowed to implement a first cross-check among them. The divergent structure of all the triple-collinear splittings was compared with the Catani's formula, and we found a complete agreement. Moreover, in the polarized case, this comparison imposed additional constraints in the finite part of some master integrals (MI). The analysis of photon-started splittings led to very compact expressions, because of gauge invariance. These contributions were identified with the Abelian terms of the remaining splitting functions, which constitutes another cross-check of the results. © 2015 Elsevier B.V.
format JOUR
author Sborlini, G.F.R.
author_facet Sborlini, G.F.R.
author_sort Sborlini, G.F.R.
title NLO QCD corrections to triple collinear splitting functions
title_short NLO QCD corrections to triple collinear splitting functions
title_full NLO QCD corrections to triple collinear splitting functions
title_fullStr NLO QCD corrections to triple collinear splitting functions
title_full_unstemmed NLO QCD corrections to triple collinear splitting functions
title_sort nlo qcd corrections to triple collinear splitting functions
url http://hdl.handle.net/20.500.12110/paper_24056014_v273-275_n_p2003_Sborlini
work_keys_str_mv AT sborlinigfr nloqcdcorrectionstotriplecollinearsplittingfunctions
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