The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory

We present an explicit analytic calculation of the differential of the planar n-particle, two-loop MHV scattering amplitude in N=4 super Yang-Mills theory. The result is expressed only in terms of the polylogarithm functions Li_k(-x), for k=1,2,3, with arguments x belonging to the special class of d...

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Detalles Bibliográficos
Autores principales: Golden, John, Spradlin, Marcus
Lenguaje:eng
Publicado: 2013
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP09(2013)111
http://cds.cern.ch/record/1554455
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author Golden, John
Spradlin, Marcus
author_facet Golden, John
Spradlin, Marcus
author_sort Golden, John
collection CERN
description We present an explicit analytic calculation of the differential of the planar n-particle, two-loop MHV scattering amplitude in N=4 super Yang-Mills theory. The result is expressed only in terms of the polylogarithm functions Li_k(-x), for k=1,2,3, with arguments x belonging to the special class of dual conformal cross-ratios known as cluster X-coordinates. The surprising fact that these amplitudes may be expressed in this way provides a striking example of the manner in which the cluster structure on the kinematic configuration space underlies the structure of amplitudes in SYM theory.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2013
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spelling cern-15544552021-05-03T20:27:38Zdoi:10.1007/JHEP09(2013)111http://cds.cern.ch/record/1554455engGolden, JohnSpradlin, MarcusThe Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills TheoryParticle Physics - TheoryWe present an explicit analytic calculation of the differential of the planar n-particle, two-loop MHV scattering amplitude in N=4 super Yang-Mills theory. The result is expressed only in terms of the polylogarithm functions Li_k(-x), for k=1,2,3, with arguments x belonging to the special class of dual conformal cross-ratios known as cluster X-coordinates. The surprising fact that these amplitudes may be expressed in this way provides a striking example of the manner in which the cluster structure on the kinematic configuration space underlies the structure of amplitudes in SYM theory.arXiv:1306.1833oai:cds.cern.ch:15544552013-06-07
spellingShingle Particle Physics - Theory
Golden, John
Spradlin, Marcus
The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
title The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
title_full The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
title_fullStr The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
title_full_unstemmed The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
title_short The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
title_sort differential of all two-loop mhv amplitudes in n=4 yang-mills theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP09(2013)111
http://cds.cern.ch/record/1554455
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AT spradlinmarcus thedifferentialofalltwoloopmhvamplitudesinn4yangmillstheory
AT goldenjohn differentialofalltwoloopmhvamplitudesinn4yangmillstheory
AT spradlinmarcus differentialofalltwoloopmhvamplitudesinn4yangmillstheory

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