Soft-gluon effective coupling and cusp anomalous dimension

Autores
Catani, Stefano; de Florian, Daniel Enrique; Grazzini, Massimiliano
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon effective coupling that extend the CMW coupling to all perturbative orders in the MS ¯ coupling αS. Although both effective couplings are well-defined in the physical four-dimensional space time, we examine their behaviour in d= 4 - 2 ϵ space time dimensions. We uncover an all-order perturbative relation with the cusp anomalous dimension: the (four dimensional) cusp anomalous dimension is equal to the d-dimensional soft-gluon effective coupling at the conformal point ϵ= β(αS) , where the d-dimensional QCD β-function, β(αS) - ϵ, vanishes. We present the explicit expressions of the two soft-gluon couplings up to O(αS2) in d dimensions. In the four-dimensional case we compute the two soft couplings up to O(αS3). For one of the two couplings, we confirm the O(αS3) result previously presented by other authors. For the other coupling, we obtain the explicit relation with the cusp anomalous dimension up to O(αS4). We comment on Casimir scaling at O(αS4).
Fil: Catani, Stefano. Università degli Studi di Firenze; Italia
Fil: de Florian, Daniel Enrique. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología. Centro Internacional de Estudios Avanzados; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Grazzini, Massimiliano. Universitat Zurich; Suiza
Materia
QCD
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/155415

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network_name_str CONICET Digital (CONICET)
spelling Soft-gluon effective coupling and cusp anomalous dimensionCatani, Stefanode Florian, Daniel EnriqueGrazzini, MassimilianoQCDhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon effective coupling that extend the CMW coupling to all perturbative orders in the MS ¯ coupling αS. Although both effective couplings are well-defined in the physical four-dimensional space time, we examine their behaviour in d= 4 - 2 ϵ space time dimensions. We uncover an all-order perturbative relation with the cusp anomalous dimension: the (four dimensional) cusp anomalous dimension is equal to the d-dimensional soft-gluon effective coupling at the conformal point ϵ= β(αS) , where the d-dimensional QCD β-function, β(αS) - ϵ, vanishes. We present the explicit expressions of the two soft-gluon couplings up to O(αS2) in d dimensions. In the four-dimensional case we compute the two soft couplings up to O(αS3). For one of the two couplings, we confirm the O(αS3) result previously presented by other authors. For the other coupling, we obtain the explicit relation with the cusp anomalous dimension up to O(αS4). We comment on Casimir scaling at O(αS4).Fil: Catani, Stefano. Università degli Studi di Firenze; ItaliaFil: de Florian, Daniel Enrique. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología. Centro Internacional de Estudios Avanzados; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Grazzini, Massimiliano. Universitat Zurich; SuizaSpringer2019-08-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/155415Catani, Stefano; de Florian, Daniel Enrique; Grazzini, Massimiliano; Soft-gluon effective coupling and cusp anomalous dimension; Springer; European Physical Journal C: Particles and Fields; 79; 8; 14-8-2019; 1-111434-60441434-6052CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140/epjc/s10052-019-7174-9info:eu-repo/semantics/altIdentifier/doi/10.1140/epjc/s10052-019-7174-9info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:14:52Zoai:ri.conicet.gov.ar:11336/155415instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:14:52.497CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Soft-gluon effective coupling and cusp anomalous dimension
title Soft-gluon effective coupling and cusp anomalous dimension
spellingShingle Soft-gluon effective coupling and cusp anomalous dimension
Catani, Stefano
QCD
title_short Soft-gluon effective coupling and cusp anomalous dimension
title_full Soft-gluon effective coupling and cusp anomalous dimension
title_fullStr Soft-gluon effective coupling and cusp anomalous dimension
title_full_unstemmed Soft-gluon effective coupling and cusp anomalous dimension
title_sort Soft-gluon effective coupling and cusp anomalous dimension
dc.creator.none.fl_str_mv Catani, Stefano
de Florian, Daniel Enrique
Grazzini, Massimiliano
author Catani, Stefano
author_facet Catani, Stefano
de Florian, Daniel Enrique
Grazzini, Massimiliano
author_role author
author2 de Florian, Daniel Enrique
Grazzini, Massimiliano
author2_role author
author
dc.subject.none.fl_str_mv QCD
topic QCD
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon effective coupling that extend the CMW coupling to all perturbative orders in the MS ¯ coupling αS. Although both effective couplings are well-defined in the physical four-dimensional space time, we examine their behaviour in d= 4 - 2 ϵ space time dimensions. We uncover an all-order perturbative relation with the cusp anomalous dimension: the (four dimensional) cusp anomalous dimension is equal to the d-dimensional soft-gluon effective coupling at the conformal point ϵ= β(αS) , where the d-dimensional QCD β-function, β(αS) - ϵ, vanishes. We present the explicit expressions of the two soft-gluon couplings up to O(αS2) in d dimensions. In the four-dimensional case we compute the two soft couplings up to O(αS3). For one of the two couplings, we confirm the O(αS3) result previously presented by other authors. For the other coupling, we obtain the explicit relation with the cusp anomalous dimension up to O(αS4). We comment on Casimir scaling at O(αS4).
Fil: Catani, Stefano. Università degli Studi di Firenze; Italia
Fil: de Florian, Daniel Enrique. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología. Centro Internacional de Estudios Avanzados; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Grazzini, Massimiliano. Universitat Zurich; Suiza
description We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon effective coupling that extend the CMW coupling to all perturbative orders in the MS ¯ coupling αS. Although both effective couplings are well-defined in the physical four-dimensional space time, we examine their behaviour in d= 4 - 2 ϵ space time dimensions. We uncover an all-order perturbative relation with the cusp anomalous dimension: the (four dimensional) cusp anomalous dimension is equal to the d-dimensional soft-gluon effective coupling at the conformal point ϵ= β(αS) , where the d-dimensional QCD β-function, β(αS) - ϵ, vanishes. We present the explicit expressions of the two soft-gluon couplings up to O(αS2) in d dimensions. In the four-dimensional case we compute the two soft couplings up to O(αS3). For one of the two couplings, we confirm the O(αS3) result previously presented by other authors. For the other coupling, we obtain the explicit relation with the cusp anomalous dimension up to O(αS4). We comment on Casimir scaling at O(αS4).
publishDate 2019
dc.date.none.fl_str_mv 2019-08-14
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/155415
Catani, Stefano; de Florian, Daniel Enrique; Grazzini, Massimiliano; Soft-gluon effective coupling and cusp anomalous dimension; Springer; European Physical Journal C: Particles and Fields; 79; 8; 14-8-2019; 1-11
1434-6044
1434-6052
CONICET Digital
CONICET
url http://hdl.handle.net/11336/155415
identifier_str_mv Catani, Stefano; de Florian, Daniel Enrique; Grazzini, Massimiliano; Soft-gluon effective coupling and cusp anomalous dimension; Springer; European Physical Journal C: Particles and Fields; 79; 8; 14-8-2019; 1-11
1434-6044
1434-6052
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140/epjc/s10052-019-7174-9
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjc/s10052-019-7174-9
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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