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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/155415
Ver los metadatos del registro completo
| id |
CONICETDig_e4196d4293241275f91c111e8dee5bd4 |
|---|---|
| oai_identifier_str |
oai:ri.conicet.gov.ar:11336/155415 |
| network_acronym_str |
CONICETDig |
| repository_id_str |
3498 |
| 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 Técnicas2025-10-22T11:45:07Zoai: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:34982025-10-22 11:45:07.827CONICET 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 |
| _version_ |
1846782146644017152 |
| score |
12.982451 |