ABJM amplitudes and WL at finite N

Autores
Bianchi, Marco S.; Leoni, Marta; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; Santambrogio, Alberto
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarity. Finally, we analyze the subleading contributions to the light-like four-cusps Wilson loop and interpret the result in terms of the non-abelian exponentiation theorem. All these perturbative results satisfy the uniform transcendentality principle, hinting at its validity in ABJM beyond the planar limit.
Fil: Bianchi, Marco S.. Humboldt-Universität zu Berlin; Alemania
Fil: Leoni, Marta. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Mauri, Andrea. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Penati, Silvia. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Santambrogio, Alberto. Istituto Nazionale di Fisica Nucleare; Italia
Materia
Supersymmetry
Chern-Simons Theory
Wilson Loops
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/15809
Acceder
id CONICETDig_09772075dd0f5e8060f67cb4177a9c73
oai_identifier_str oai:ri.conicet.gov.ar:11336/15809
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling ABJM amplitudes and WL at finite NBianchi, Marco S.Leoni, MartaLeoni Olivera, MatíasMauri, AndreaPenati, SilviaSantambrogio, AlbertoSupersymmetryChern-Simons TheoryWilson Loopshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarity. Finally, we analyze the subleading contributions to the light-like four-cusps Wilson loop and interpret the result in terms of the non-abelian exponentiation theorem. All these perturbative results satisfy the uniform transcendentality principle, hinting at its validity in ABJM beyond the planar limit.Fil: Bianchi, Marco S.. Humboldt-Universität zu Berlin; AlemaniaFil: Leoni, Marta. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Mauri, Andrea. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Penati, Silvia. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; ItaliaFil: Santambrogio, Alberto. Istituto Nazionale di Fisica Nucleare; ItaliaSpringer Heidelberg2013-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15809Bianchi, Marco S.; Leoni, Marta; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; et al.; ABJM amplitudes and WL at finite N; Springer Heidelberg; Journal of High Energy Physics; 114; 9-2013; 1-291029-8479enginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2013)114info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP09(2013)114info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1306.3243info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:38:10Zoai:ri.conicet.gov.ar:11336/15809instacron: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 09:38:10.664CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv ABJM amplitudes and WL at finite N
title ABJM amplitudes and WL at finite N
spellingShingle ABJM amplitudes and WL at finite N
Bianchi, Marco S.
Supersymmetry
Chern-Simons Theory
Wilson Loops
title_short ABJM amplitudes and WL at finite N
title_full ABJM amplitudes and WL at finite N
title_fullStr ABJM amplitudes and WL at finite N
title_full_unstemmed ABJM amplitudes and WL at finite N
title_sort ABJM amplitudes and WL at finite N
dc.creator.none.fl_str_mv Bianchi, Marco S.
Leoni, Marta
Leoni Olivera, Matías
Mauri, Andrea
Penati, Silvia
Santambrogio, Alberto
author Bianchi, Marco S.
author_facet Bianchi, Marco S.
Leoni, Marta
Leoni Olivera, Matías
Mauri, Andrea
Penati, Silvia
Santambrogio, Alberto
author_role author
author2 Leoni, Marta
Leoni Olivera, Matías
Mauri, Andrea
Penati, Silvia
Santambrogio, Alberto
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Supersymmetry
Chern-Simons Theory
Wilson Loops
topic Supersymmetry
Chern-Simons Theory
Wilson Loops
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 evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarity. Finally, we analyze the subleading contributions to the light-like four-cusps Wilson loop and interpret the result in terms of the non-abelian exponentiation theorem. All these perturbative results satisfy the uniform transcendentality principle, hinting at its validity in ABJM beyond the planar limit.
Fil: Bianchi, Marco S.. Humboldt-Universität zu Berlin; Alemania
Fil: Leoni, Marta. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Mauri, Andrea. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Penati, Silvia. Universita Degli Studi Di Milano; Italia. Istituto Nazionale di Fisica Nucleare; Italia
Fil: Santambrogio, Alberto. Istituto Nazionale di Fisica Nucleare; Italia
description We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarity. Finally, we analyze the subleading contributions to the light-like four-cusps Wilson loop and interpret the result in terms of the non-abelian exponentiation theorem. All these perturbative results satisfy the uniform transcendentality principle, hinting at its validity in ABJM beyond the planar limit.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
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/11336/15809
Bianchi, Marco S.; Leoni, Marta; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; et al.; ABJM amplitudes and WL at finite N; Springer Heidelberg; Journal of High Energy Physics; 114; 9-2013; 1-29
1029-8479
url http://hdl.handle.net/11336/15809
identifier_str_mv Bianchi, Marco S.; Leoni, Marta; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; et al.; ABJM amplitudes and WL at finite N; Springer Heidelberg; Journal of High Energy Physics; 114; 9-2013; 1-29
1029-8479
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2013)114
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP09(2013)114
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1306.3243
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer Heidelberg
publisher.none.fl_str_mv Springer Heidelberg
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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score 13.069144

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