On the ABJM four-point amplitude at three loops and BDS exponentiation

Abstract: We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence...

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Detalles Bibliográficos
Publicado: 2014
Materias:
Chern-Simons Theories
Scattering Amplitudes
Supersymmetric gauge theory
Materials science
Nanostructured materials
Chern-Simons theory
Dimensional regularization
Exponentiations
Gauge theory
Invariant integral
Polylogarithms
Scattering amplitudes
Two particles
Conformal mapping
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n11_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2014_n11_p_Bianchi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2014_n11_p_Bianchi
record_format dspace
spelling paper:paper_11266708_v2014_n11_p_Bianchi2023-06-08T16:08:27Z On the ABJM four-point amplitude at three loops and BDS exponentiation Chern-Simons Theories Scattering Amplitudes Supersymmetric gauge theory Materials science Nanostructured materials Chern-Simons theory Dimensional regularization Exponentiations Gauge theory Invariant integral Polylogarithms Scattering amplitudes Two particles Conformal mapping Abstract: We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality. © 2014, The Author(s). 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n11_p_Bianchi http://hdl.handle.net/20.500.12110/paper_11266708_v2014_n11_p_Bianchi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chern-Simons Theories
Scattering Amplitudes
Supersymmetric gauge theory
Materials science
Nanostructured materials
Chern-Simons theory
Dimensional regularization
Exponentiations
Gauge theory
Invariant integral
Polylogarithms
Scattering amplitudes
Two particles
Conformal mapping
spellingShingle Chern-Simons Theories
Scattering Amplitudes
Supersymmetric gauge theory
Materials science
Nanostructured materials
Chern-Simons theory
Dimensional regularization
Exponentiations
Gauge theory
Invariant integral
Polylogarithms
Scattering amplitudes
Two particles
Conformal mapping
On the ABJM four-point amplitude at three loops and BDS exponentiation
topic_facet Chern-Simons Theories
Scattering Amplitudes
Supersymmetric gauge theory
Materials science
Nanostructured materials
Chern-Simons theory
Dimensional regularization
Exponentiations
Gauge theory
Invariant integral
Polylogarithms
Scattering amplitudes
Two particles
Conformal mapping
description Abstract: We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality. © 2014, The Author(s).
title On the ABJM four-point amplitude at three loops and BDS exponentiation
title_short On the ABJM four-point amplitude at three loops and BDS exponentiation
title_full On the ABJM four-point amplitude at three loops and BDS exponentiation
title_fullStr On the ABJM four-point amplitude at three loops and BDS exponentiation
title_full_unstemmed On the ABJM four-point amplitude at three loops and BDS exponentiation
title_sort on the abjm four-point amplitude at three loops and bds exponentiation
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n11_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2014_n11_p_Bianchi
_version_ 1768543813114003456

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