A Stroll through the Loop-Tree Duality

The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representatio...

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Main Authors: José de Jesús Aguilera-Verdugo, Félix Driencourt-Mangin, Roger José Hernández-Pinto, Judith Plenter, Renato Maria Prisco, Norma Selomit Ramírez-Uribe, Andrés Ernesto Rentería-Olivo, Germán Rodrigo, German Sborlini, William Javier Torres Bobadilla, Francesco Tramontano
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/6/1029
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author José de Jesús Aguilera-Verdugo
Félix Driencourt-Mangin
Roger José Hernández-Pinto
Judith Plenter
Renato Maria Prisco
Norma Selomit Ramírez-Uribe
Andrés Ernesto Rentería-Olivo
Germán Rodrigo
German Sborlini
William Javier Torres Bobadilla
Francesco Tramontano
author_facet José de Jesús Aguilera-Verdugo
Félix Driencourt-Mangin
Roger José Hernández-Pinto
Judith Plenter
Renato Maria Prisco
Norma Selomit Ramírez-Uribe
Andrés Ernesto Rentería-Olivo
Germán Rodrigo
German Sborlini
William Javier Torres Bobadilla
Francesco Tramontano
author_sort José de Jesús Aguilera-Verdugo
collection DOAJ
description The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities.
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spelling doaj.art-b8ea6e112b4d454f8c8d90f982e69b352023-11-21T23:17:28ZengMDPI AGSymmetry2073-89942021-06-01136102910.3390/sym13061029A Stroll through the Loop-Tree DualityJosé de Jesús Aguilera-Verdugo0Félix Driencourt-Mangin1Roger José Hernández-Pinto2Judith Plenter3Renato Maria Prisco4Norma Selomit Ramírez-Uribe5Andrés Ernesto Rentería-Olivo6Germán Rodrigo7German Sborlini8William Javier Torres Bobadilla9Francesco Tramontano10Instituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainFacultad de Ciencias Físico-Matemáticas, Universidad Autónoma de Sinaloa, Ciudad Universitaria, 80000 Culiacán, MexicoInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainDipartimento di Fisica, Università di Napoli Federico II and INFN, Sezione di Napoli, I-80126 Napoli, ItalyInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainMax-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-80805 München, GermanyDipartimento di Fisica, Università di Napoli Federico II and INFN, Sezione di Napoli, I-80126 Napoli, ItalyThe Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities.https://www.mdpi.com/2073-8994/13/6/1029Feynman integralsmulti-loop calculationsperturbative QFThigher orders
spellingShingle José de Jesús Aguilera-Verdugo
Félix Driencourt-Mangin
Roger José Hernández-Pinto
Judith Plenter
Renato Maria Prisco
Norma Selomit Ramírez-Uribe
Andrés Ernesto Rentería-Olivo
Germán Rodrigo
German Sborlini
William Javier Torres Bobadilla
Francesco Tramontano
A Stroll through the Loop-Tree Duality
Symmetry
Feynman integrals
multi-loop calculations
perturbative QFT
higher orders
title A Stroll through the Loop-Tree Duality
title_full A Stroll through the Loop-Tree Duality
title_fullStr A Stroll through the Loop-Tree Duality
title_full_unstemmed A Stroll through the Loop-Tree Duality
title_short A Stroll through the Loop-Tree Duality
title_sort stroll through the loop tree duality
topic Feynman integrals
multi-loop calculations
perturbative QFT
higher orders
url https://www.mdpi.com/2073-8994/13/6/1029
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