Mathematical properties of nested residues and their application to multi-loop scattering amplitudes

[EN]The computation of multi-loop multi-leg scattering amplitudes plays a key role to improve the precision of theoretical predictions for particle physics at high-energy colliders. In this work, we focus on the mathematical properties of the novel integrand-level representation of Feynman integrals...

Descripción completa

Detalles Bibliográficos
Autores: Aguilera-Verdugo, J. Jesús, Hernández-Pinto, Roger J., Rodrigo, Germán, Sborlini, German F. R., Torres Bobadilla, William J.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/168876
Acceso en línea:http://hdl.handle.net/10366/168876
Access Level:acceso abierto
Palabra clave:NLO computations
QCD Phenomenology
Loop-tree duality
New computational methods for HEP
Perturbative QFT
id ES_c57d75136302f3e2d282f2a22ca1d34a
oai_identifier_str oai:gredos.usal.es:10366/168876
network_acronym_str ES
network_name_str España
repository_id_str
spelling Mathematical properties of nested residues and their application to multi-loop scattering amplitudesAguilera-Verdugo, J. JesúsHernández-Pinto, Roger J.Rodrigo, GermánSborlini, German F. R.Torres Bobadilla, William J.NLO computationsQCD PhenomenologyLoop-tree dualityNew computational methods for HEPPerturbative QFT[EN]The computation of multi-loop multi-leg scattering amplitudes plays a key role to improve the precision of theoretical predictions for particle physics at high-energy colliders. In this work, we focus on the mathematical properties of the novel integrand-level representation of Feynman integrals, which is based on the Loop-Tree Duality (LTD). We explore the behaviour of the multi-loop iterated residues and explicitly show, by developing a general compact and elegant proof, that contributions associated to displaced poles are cancelled out. The remaining residues, called nested residues as originally introduced in ref. [1], encode the relevant physical information and are naturally mapped onto physical configurations associated to nondisjoint on-shell states. By going further on the mathematical structure of the nested residues, we prove that unphysical singularities vanish, and show how the final expressions can be written by using only causal denominators. In this way, we provide a mathematical proof for the all-loop formulae presented in ref. [2].[ES]El cálculo de amplitudes de dispersión multibucle y multipata desempeña un papel clave para mejorar la precisión de las predicciones teóricas de la física de partículas en colisionadores de altas energías. En este trabajo nos centramos en las propiedades matemáticas de la novedosa representación de integrales de Feynman a nivel de integrando, basada en la dualidad bucle-árbol (LTD). Exploramos el comportamiento de los residuos iterados multibucle y mostramos explícitamente, mediante el desarrollo de una demostración general, compacta y elegante, que las contribuciones asociadas a polos desplazados se cancelan. Los residuos restantes, denominados residuos anidados tal como se introdujeron originalmente en la ref. [1], codifican la información física relevante y se mapean de forma natural en configuraciones físicas asociadas a estados on-shell no disjuntos. Profundizando en la estructura matemática de los residuos anidados, demostramos que las singularidades no físicas desaparecen y mostramos cómo las expresiones finales pueden escribirse utilizando únicamente denominadores causales. De este modo, proporcionamos una demostración matemática de las fórmulas a todos los órdenes presentadas en la ref. [2].Springer Nature202620262021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10366/168876reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésGRISOLIAP/2018/101FJCI-2017-32128CONACyT - Project No. A1-S-33202COST Action CA16201 PARTICLEFACEFPA2017-84445-PPROMETEO/2017/053info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1688762026-06-07T06:28:51Z
dc.title.none.fl_str_mv Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
title Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
spellingShingle Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
Aguilera-Verdugo, J. Jesús
NLO computations
QCD Phenomenology
Loop-tree duality
New computational methods for HEP
Perturbative QFT
title_short Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
title_full Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
title_fullStr Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
title_full_unstemmed Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
title_sort Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
dc.creator.none.fl_str_mv Aguilera-Verdugo, J. Jesús
Hernández-Pinto, Roger J.
Rodrigo, Germán
Sborlini, German F. R.
Torres Bobadilla, William J.
author Aguilera-Verdugo, J. Jesús
author_facet Aguilera-Verdugo, J. Jesús
Hernández-Pinto, Roger J.
Rodrigo, Germán
Sborlini, German F. R.
Torres Bobadilla, William J.
author_role author
author2 Hernández-Pinto, Roger J.
Rodrigo, Germán
Sborlini, German F. R.
Torres Bobadilla, William J.
author2_role author
author
author
author
dc.subject.none.fl_str_mv NLO computations
QCD Phenomenology
Loop-tree duality
New computational methods for HEP
Perturbative QFT
topic NLO computations
QCD Phenomenology
Loop-tree duality
New computational methods for HEP
Perturbative QFT
description [EN]The computation of multi-loop multi-leg scattering amplitudes plays a key role to improve the precision of theoretical predictions for particle physics at high-energy colliders. In this work, we focus on the mathematical properties of the novel integrand-level representation of Feynman integrals, which is based on the Loop-Tree Duality (LTD). We explore the behaviour of the multi-loop iterated residues and explicitly show, by developing a general compact and elegant proof, that contributions associated to displaced poles are cancelled out. The remaining residues, called nested residues as originally introduced in ref. [1], encode the relevant physical information and are naturally mapped onto physical configurations associated to nondisjoint on-shell states. By going further on the mathematical structure of the nested residues, we prove that unphysical singularities vanish, and show how the final expressions can be written by using only causal denominators. In this way, we provide a mathematical proof for the all-loop formulae presented in ref. [2].
publishDate 2021
dc.date.none.fl_str_mv 2021
2026
2026
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/168876
url http://hdl.handle.net/10366/168876
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv GRISOLIAP/2018/101
FJCI-2017-32128
CONACyT - Project No. A1-S-33202
COST Action CA16201 PARTICLEFACE
FPA2017-84445-P
PROMETEO/2017/053
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869418993184407552
score 15,811543

Similares en LA Referencia