Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel

Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel

Abstract We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves. We present the results of the missing mast...

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Main Authors: Simon Badger, Ekta Chaubey, Heribertus Bayu Hartanto, Robin Marzucca
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Journal of High Energy Physics
Subjects:
Perturbative QCD
Scattering Amplitudes
Online Access:https://doi.org/10.1007/JHEP06(2021)163
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spelling doaj-327cde1e30414b2f93deb09c7f1705852021-07-04T11:52:01ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-012021613810.1007/JHEP06(2021)163Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channelSimon Badger0Ekta Chaubey1Heribertus Bayu Hartanto2Robin Marzucca3Dipartimento di Fisica and Arnold-Regge Center, Università di Torino, and INFN, Sezione di TorinoDipartimento di Fisica and Arnold-Regge Center, Università di Torino, and INFN, Sezione di TorinoCavendish Laboratory, University of CambridgeInstitute for Particle Physics Phenomenology, Department of Physics, Durham UniversityAbstract We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves. We present the results of the missing master integrals needed to compute the amplitude and obtain an analytic form for the finite remainders in terms of iterated integrals using rationalised kinematics and finite field sampling. We also study the numerical evaluation of the iterated integrals.https://doi.org/10.1007/JHEP06(2021)163Perturbative QCDScattering Amplitudes
collection DOAJ
language English
format Article
sources DOAJ
author Simon Badger
Ekta Chaubey
Heribertus Bayu Hartanto
Robin Marzucca
spellingShingle Simon Badger
Ekta Chaubey
Heribertus Bayu Hartanto
Robin Marzucca
Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
Journal of High Energy Physics
Perturbative QCD
Scattering Amplitudes
author_facet Simon Badger
Ekta Chaubey
Heribertus Bayu Hartanto
Robin Marzucca
author_sort Simon Badger
title Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
title_short Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
title_full Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
title_fullStr Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
title_full_unstemmed Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
title_sort two-loop leading colour qcd helicity amplitudes for top quark pair production in the gluon fusion channel
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-06-01
description Abstract We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves. We present the results of the missing master integrals needed to compute the amplitude and obtain an analytic form for the finite remainders in terms of iterated integrals using rationalised kinematics and finite field sampling. We also study the numerical evaluation of the iterated integrals.
topic Perturbative QCD
Scattering Amplitudes
url https://doi.org/10.1007/JHEP06(2021)163
work_keys_str_mv AT simonbadger twoloopleadingcolourqcdhelicityamplitudesfortopquarkpairproductioninthegluonfusionchannel
AT ektachaubey twoloopleadingcolourqcdhelicityamplitudesfortopquarkpairproductioninthegluonfusionchannel
AT heribertusbayuhartanto twoloopleadingcolourqcdhelicityamplitudesfortopquarkpairproductioninthegluonfusionchannel
AT robinmarzucca twoloopleadingcolourqcdhelicityamplitudesfortopquarkpairproductioninthegluonfusionchannel
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