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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Published in:Symmetry (Basel) 2021-06, Vol.13 (6), p.1029
Main Authors: Aguilera-Verdugo, José de Jesús, Driencourt-Mangin, Félix, Hernández-Pinto, Roger José, Plenter, Judith, Prisco, Renato Maria, Ramírez-Uribe, Norma Selomit, Rentería-Olivo, Andrés Ernesto, Rodrigo, Germán, Sborlini, German, Torres Bobadilla, William Javier, Tramontano, Francesco
Format: Article
Language:English
Subjects:
Algorithms
Amplitudes
Euclidean geometry
Feynman integrals
High energy physics
higher orders
Integrals
multi-loop calculations
perturbative QFT
Physics
Regularization methods
Representations
Scattering
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container_issue 6
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container_title Symmetry (Basel)
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creator Aguilera-Verdugo, José de Jesús
Driencourt-Mangin, Félix
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Rentería-Olivo, Andrés Ernesto
Rodrigo, Germán
Sborlini, German
Torres Bobadilla, William Javier
Tramontano, Francesco
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.
doi_str_mv 10.3390/sym13061029
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subjects Algorithms
Amplitudes
Euclidean geometry
Feynman integrals
High energy physics
higher orders
Integrals
multi-loop calculations
perturbative QFT
Physics
Regularization methods
Representations
Scattering
title A Stroll through the Loop-Tree Duality
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