Towards gauge theories in four dimensions

Abstract: The abundance of infrared singularities in gauge theories due to unresolved emission of massless particles (soft and collinear) represents the main difficulty in perturbative calculations. They are typically regularized in dimensional regularization, and their subtraction is usually achiev...

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Autores principales: Hernández-Pinto, R.J., Sborlini, G.F.R., Rodrigo, G.
Formato: JOUR
Materias:
NLO Computations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_HernandezPinto
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11266708_v2016_n2_p1_HernandezPinto
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spelling todo:paper_11266708_v2016_n2_p1_HernandezPinto2023-10-03T16:07:26Z Towards gauge theories in four dimensions Hernández-Pinto, R.J. Sborlini, G.F.R. Rodrigo, G. NLO Computations Abstract: The abundance of infrared singularities in gauge theories due to unresolved emission of massless particles (soft and collinear) represents the main difficulty in perturbative calculations. They are typically regularized in dimensional regularization, and their subtraction is usually achieved independently for virtual and real corrections. In this paper, we introduce a new method based on the loop-tree duality (LTD) theorem to accomplish the summation over degenerate infrared states directly at the integrand level such that the cancellation of the infrared divergences is achieved simultaneously, and apply it to reference examples as a proof of concept. Ultraviolet divergences, which are the consequence of the point-like nature of the theory, are also reinterpreted physically in this framework. The proposed method opens the intriguing possibility of carrying out purely four-dimensional implementations of higher-order perturbative calculations at next-to-leading order (NLO) and beyond free of soft and final-state collinear subtractions. © 2016, The Author(s). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_HernandezPinto
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic NLO Computations
spellingShingle NLO Computations
Hernández-Pinto, R.J.
Sborlini, G.F.R.
Rodrigo, G.
Towards gauge theories in four dimensions
topic_facet NLO Computations
description Abstract: The abundance of infrared singularities in gauge theories due to unresolved emission of massless particles (soft and collinear) represents the main difficulty in perturbative calculations. They are typically regularized in dimensional regularization, and their subtraction is usually achieved independently for virtual and real corrections. In this paper, we introduce a new method based on the loop-tree duality (LTD) theorem to accomplish the summation over degenerate infrared states directly at the integrand level such that the cancellation of the infrared divergences is achieved simultaneously, and apply it to reference examples as a proof of concept. Ultraviolet divergences, which are the consequence of the point-like nature of the theory, are also reinterpreted physically in this framework. The proposed method opens the intriguing possibility of carrying out purely four-dimensional implementations of higher-order perturbative calculations at next-to-leading order (NLO) and beyond free of soft and final-state collinear subtractions. © 2016, The Author(s).
format JOUR
author Hernández-Pinto, R.J.
Sborlini, G.F.R.
Rodrigo, G.
author_facet Hernández-Pinto, R.J.
Sborlini, G.F.R.
Rodrigo, G.
author_sort Hernández-Pinto, R.J.
title Towards gauge theories in four dimensions
title_short Towards gauge theories in four dimensions
title_full Towards gauge theories in four dimensions
title_fullStr Towards gauge theories in four dimensions
title_full_unstemmed Towards gauge theories in four dimensions
title_sort towards gauge theories in four dimensions
url http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_HernandezPinto
work_keys_str_mv AT hernandezpintorj towardsgaugetheoriesinfourdimensions
AT sborlinigfr towardsgaugetheoriesinfourdimensions
AT rodrigog towardsgaugetheoriesinfourdimensions
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