Glue-and-cut at five loops

Detalhes bibliográficos
Autor(a) principal: Georgoudis, Alessandro [UNESP]
Data de Publicação: 2021
Outros Autores: Goncalves, Vasco [UNESP], Panzer, Erik, Pereira, Raul, Smirnov, Alexander V., Smirnov, Vladimir A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP09(2021)098
http://hdl.handle.net/11449/229537
Resumo: We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions.
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spelling Glue-and-cut at five loopsPerturbative QCDRenormalization Regularization and RenormalonsScattering AmplitudesWe compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions.Laboratoire de physique de l’Ecole normale supérieure ENS Université PSL CNRS Sorbonne Université Université Paris-Diderot Sorbonne Paris Cité, 24 rue LhomondDepartment of Physics and Astronomy Uppsala University, Box 516Centro de Física do Porto e Departamento de Física e Astronomia Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687ICTP South American Institute for Fundamental Research Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271Mathematical Institute University of OxfordSchool of Mathematics and Hamilton Mathematics Institute Trinity College DublinResearch Computing Center Moscow State UniversityMoscow Center for Fundamental and Applied MathematicsSkobeltsyn Institute of Nuclear Physics of Moscow State UniversityICTP South American Institute for Fundamental Research Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271Sorbonne Paris CitéUppsala UniversityFaculdade de Ciências da Universidade do PortoUniversidade Estadual Paulista (UNESP)University of OxfordTrinity College DublinMoscow State UniversityMoscow Center for Fundamental and Applied MathematicsSkobeltsyn Institute of Nuclear Physics of Moscow State UniversityGeorgoudis, Alessandro [UNESP]Goncalves, Vasco [UNESP]Panzer, ErikPereira, RaulSmirnov, Alexander V.Smirnov, Vladimir A.2022-04-29T08:33:08Z2022-04-29T08:33:08Z2021-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP09(2021)098Journal of High Energy Physics, v. 2021, n. 9, 2021.1029-8479http://hdl.handle.net/11449/22953710.1007/JHEP09(2021)0982-s2.0-85115150607Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:33:08Zoai:repositorio.unesp.br:11449/229537Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:02:17.706543Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Glue-and-cut at five loops
title Glue-and-cut at five loops
spellingShingle Glue-and-cut at five loops
Georgoudis, Alessandro [UNESP]
Perturbative QCD
Renormalization Regularization and Renormalons
Scattering Amplitudes
title_short Glue-and-cut at five loops
title_full Glue-and-cut at five loops
title_fullStr Glue-and-cut at five loops
title_full_unstemmed Glue-and-cut at five loops
title_sort Glue-and-cut at five loops
author Georgoudis, Alessandro [UNESP]
author_facet Georgoudis, Alessandro [UNESP]
Goncalves, Vasco [UNESP]
Panzer, Erik
Pereira, Raul
Smirnov, Alexander V.
Smirnov, Vladimir A.
author_role author
author2 Goncalves, Vasco [UNESP]
Panzer, Erik
Pereira, Raul
Smirnov, Alexander V.
Smirnov, Vladimir A.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Sorbonne Paris Cité
Uppsala University
Faculdade de Ciências da Universidade do Porto
Universidade Estadual Paulista (UNESP)
University of Oxford
Trinity College Dublin
Moscow State University
Moscow Center for Fundamental and Applied Mathematics
Skobeltsyn Institute of Nuclear Physics of Moscow State University
dc.contributor.author.fl_str_mv Georgoudis, Alessandro [UNESP]
Goncalves, Vasco [UNESP]
Panzer, Erik
Pereira, Raul
Smirnov, Alexander V.
Smirnov, Vladimir A.
dc.subject.por.fl_str_mv Perturbative QCD
Renormalization Regularization and Renormalons
Scattering Amplitudes
topic Perturbative QCD
Renormalization Regularization and Renormalons
Scattering Amplitudes
description We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-01
2022-04-29T08:33:08Z
2022-04-29T08:33:08Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/JHEP09(2021)098
Journal of High Energy Physics, v. 2021, n. 9, 2021.
1029-8479
http://hdl.handle.net/11449/229537
10.1007/JHEP09(2021)098
2-s2.0-85115150607
url http://dx.doi.org/10.1007/JHEP09(2021)098
http://hdl.handle.net/11449/229537
identifier_str_mv Journal of High Energy Physics, v. 2021, n. 9, 2021.
1029-8479
10.1007/JHEP09(2021)098
2-s2.0-85115150607
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of High Energy Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128887820910592

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