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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2019-01-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-18T14:24:17Z |
format | Article |
id | doaj.art-4a55d079e22c4ed0a9a0c181aa8a6f8d |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-18T14:24:17Z |
publishDate | 2019-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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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