Tree-loop duality relation beyond single poles

We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multi-loop integrals derived in previous publications. We prove a generalization of the formula for sin...

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Detalles Bibliográficos
Autores: Bierenbaum, Isabella, Buchta, Sebastián, Draggiotis, Petros, Malamos, Ioannis, Rodrigo, Germán
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2013
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/124888
Acceso en línea:http://hdl.handle.net/10261/124888
Access Level:acceso abierto
Palabra clave:QCD Phenomenology
NLO Computations
ddc:530
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spelling Tree-loop duality relation beyond single polesBierenbaum, IsabellaBuchta, SebastiánDraggiotis, PetrosMalamos, IoannisRodrigo, GermánQCD PhenomenologyNLO Computationsddc:530We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multi-loop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.This work has been supported in part by the Spanish Government and ERDF funds from the EU Commission [grants FPA2007-60323, FPA2011-23778, CSD2007-00042 (Consolider Project CPAN)] and by GV (PROMETEO/2008/069), by the German Federal Ministry for Education and Research BMBF through Grant No. 05 HT6GUA by the Helmholtz Association HGF through Grant No. Ha 101 and by the German Research Foundation DFG through the Collaborative Research Center No 676 Particles, Strings and the Early Universe-The Structure of Matter and Space-Time. This work was also supported by the Research Executive Agency (REA) of the European Union under the Grant Agreement number PITN-GA-2010-264564 (LHCPhenoNet). We would like to thank Stefano Catani for many elucidating discussions. I. B. would like to thank Andreas von Manteuffel for providing us with the patch for REDUZE 2 that modified its integral ordering for our purposes.Peer reviewedSpringer NatureGerman Research FoundationGeneralitat ValencianaConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201520152013info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/124888reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1007/JHEP03(2013)025Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1248882026-05-22T06:33:51Z
dc.title.none.fl_str_mv Tree-loop duality relation beyond single poles
title Tree-loop duality relation beyond single poles
spellingShingle Tree-loop duality relation beyond single poles
Bierenbaum, Isabella
QCD Phenomenology
NLO Computations
ddc:530
title_short Tree-loop duality relation beyond single poles
title_full Tree-loop duality relation beyond single poles
title_fullStr Tree-loop duality relation beyond single poles
title_full_unstemmed Tree-loop duality relation beyond single poles
title_sort Tree-loop duality relation beyond single poles
dc.creator.none.fl_str_mv Bierenbaum, Isabella
Buchta, Sebastián
Draggiotis, Petros
Malamos, Ioannis
Rodrigo, Germán
author Bierenbaum, Isabella
author_facet Bierenbaum, Isabella
Buchta, Sebastián
Draggiotis, Petros
Malamos, Ioannis
Rodrigo, Germán
author_role author
author2 Buchta, Sebastián
Draggiotis, Petros
Malamos, Ioannis
Rodrigo, Germán
author2_role author
author
author
author
dc.contributor.none.fl_str_mv German Research Foundation
Generalitat Valenciana
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv QCD Phenomenology
NLO Computations
ddc:530
topic QCD Phenomenology
NLO Computations
ddc:530
description We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multi-loop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.
publishDate 2013
dc.date.none.fl_str_mv 2013
2015
2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/124888
url http://hdl.handle.net/10261/124888
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1007/JHEP03(2013)025
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869402641352622080
score 15.811543

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