Four-dimensional unsubtraction from the loop-tree duality

We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and it is implemented by introducing a suitable mapping between...

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Autores principales: Sborlini, G.F.R., Driencourt-Mangin, F., Hernández-Pinto, R.J., Rodrigo, G.
Formato: JOUR
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NLO Computations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n8_p_Sborlini
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11266708_v2016_n8_p_Sborlini
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spelling todo:paper_11266708_v2016_n8_p_Sborlini2023-10-03T16:07:30Z Four-dimensional unsubtraction from the loop-tree duality Sborlini, G.F.R. Driencourt-Mangin, F. Hernández-Pinto, R.J. Rodrigo, G. NLO Computations We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and it is implemented by introducing a suitable mapping between the external and loop momenta of the virtual scattering amplitudes, and the external momenta of the real emission corrections. In this way, the sum over degenerate infrared states is performed at integrand level and the cancellation of infrared divergences occurs locally without introducing subtraction counter-terms to deal with soft and final-state collinear singularities. The dual representation of ultraviolet counter-terms is also discussed in detail, in particular for self-energy contributions. The method is first illustrated with the scalar three-point function, before proceeding with the calculation of the physical cross-section for γ∗→ qq¯ (g) , and its generalisation to multi-leg processes. The extension to next-to-next-to-leading order (NNLO) is briefly commented. © 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_n8_p_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 NLO Computations
spellingShingle NLO Computations
Sborlini, G.F.R.
Driencourt-Mangin, F.
Hernández-Pinto, R.J.
Rodrigo, G.
Four-dimensional unsubtraction from the loop-tree duality
topic_facet NLO Computations
description We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and it is implemented by introducing a suitable mapping between the external and loop momenta of the virtual scattering amplitudes, and the external momenta of the real emission corrections. In this way, the sum over degenerate infrared states is performed at integrand level and the cancellation of infrared divergences occurs locally without introducing subtraction counter-terms to deal with soft and final-state collinear singularities. The dual representation of ultraviolet counter-terms is also discussed in detail, in particular for self-energy contributions. The method is first illustrated with the scalar three-point function, before proceeding with the calculation of the physical cross-section for γ∗→ qq¯ (g) , and its generalisation to multi-leg processes. The extension to next-to-next-to-leading order (NNLO) is briefly commented. © 2016, The Author(s).
format JOUR
author Sborlini, G.F.R.
Driencourt-Mangin, F.
Hernández-Pinto, R.J.
Rodrigo, G.
author_facet Sborlini, G.F.R.
Driencourt-Mangin, F.
Hernández-Pinto, R.J.
Rodrigo, G.
author_sort Sborlini, G.F.R.
title Four-dimensional unsubtraction from the loop-tree duality
title_short Four-dimensional unsubtraction from the loop-tree duality
title_full Four-dimensional unsubtraction from the loop-tree duality
title_fullStr Four-dimensional unsubtraction from the loop-tree duality
title_full_unstemmed Four-dimensional unsubtraction from the loop-tree duality
title_sort four-dimensional unsubtraction from the loop-tree duality
url http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n8_p_Sborlini
work_keys_str_mv AT sborlinigfr fourdimensionalunsubtractionfromthelooptreeduality
AT driencourtmanginf fourdimensionalunsubtractionfromthelooptreeduality
AT hernandezpintorj fourdimensionalunsubtractionfromthelooptreeduality
AT rodrigog fourdimensionalunsubtractionfromthelooptreeduality
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