Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case

Abstract We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines...

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Main Authors: Simon Badger, Christian Brønnum-Hansen, Heribertus Bayu Hartanto, Tiziano Peraro
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP01(2019)186
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author Simon Badger
Christian Brønnum-Hansen
Heribertus Bayu Hartanto
Tiziano Peraro
author_facet Simon Badger
Christian Brønnum-Hansen
Heribertus Bayu Hartanto
Tiziano Peraro
author_sort Simon Badger
collection DOAJ
description Abstract We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.
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spelling doaj.art-4a55d079e22c4ed0a9a0c181aa8a6f8d2022-12-21T21:04:45ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019111810.1007/JHEP01(2019)186Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus caseSimon Badger0Christian Brønnum-Hansen1Heribertus Bayu Hartanto2Tiziano Peraro3Institute for Particle Physics Phenomenology, Department of Physics, Durham UniversityHiggs Centre for Theoretical Physics, School of Physics and Astronomy, The University of EdinburghInstitute for Particle Physics Phenomenology, Department of Physics, Durham UniversityPhysik-Institut, Universität ZürichAbstract We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.http://link.springer.com/article/10.1007/JHEP01(2019)186Perturbative QCDScattering Amplitudes
spellingShingle Simon Badger
Christian Brønnum-Hansen
Heribertus Bayu Hartanto
Tiziano Peraro
Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
Journal of High Energy Physics
Perturbative QCD
Scattering Amplitudes
title Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
title_full Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
title_fullStr Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
title_full_unstemmed Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
title_short Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
title_sort analytic helicity amplitudes for two loop five gluon scattering the single minus case
topic Perturbative QCD
Scattering Amplitudes
url http://link.springer.com/article/10.1007/JHEP01(2019)186
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