Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders

We compute the planar three-loop Quantum Chromodynamics (QCD) corrections to the helicity amplitudes involving a vector boson V=Z,W±,γ⁎, two quarks and a gluon. These amplitudes are relevant to vector-boson-plus-jet production at hadron colliders and other precision QCD observables. The planar corre...

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Main Authors: Thomas Gehrmann, Petr Jakubčík, Cesare Carlo Mella, Nikolaos Syrrakos, Lorenzo Tancredi
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323007037
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author Thomas Gehrmann
Petr Jakubčík
Cesare Carlo Mella
Nikolaos Syrrakos
Lorenzo Tancredi
author_facet Thomas Gehrmann
Petr Jakubčík
Cesare Carlo Mella
Nikolaos Syrrakos
Lorenzo Tancredi
author_sort Thomas Gehrmann
collection DOAJ
description We compute the planar three-loop Quantum Chromodynamics (QCD) corrections to the helicity amplitudes involving a vector boson V=Z,W±,γ⁎, two quarks and a gluon. These amplitudes are relevant to vector-boson-plus-jet production at hadron colliders and other precision QCD observables. The planar corrections encompass the leading colour factors N3, N2Nf, NNf2 and Nf3. We provide the finite remainders of the independent helicity amplitudes in terms of multiple polylogarithms, continued to all kinematic regions and in a form which is compact and lends itself to efficient numerical evaluation. The presented amplitude respects the conjectured symbol-adjacency constraints for amplitudes with three massless and one massive leg.
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spelling doaj.art-f8623e23d2414de3ada22c9b7758cc272024-01-07T04:28:30ZengElsevierPhysics Letters B0370-26932024-01-01848138369Planar three-loop QCD helicity amplitudes for V+jet production at hadron collidersThomas Gehrmann0Petr Jakubčík1Cesare Carlo Mella2Nikolaos Syrrakos3Lorenzo Tancredi4Physik-Institut, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, SwitzerlandPhysik-Institut, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, SwitzerlandTechnical University of Munich, TUM School of Natural Sciences, Physics Department, James-Franck-Straße 1, 85748 Garching, Germany; Corresponding author.Technical University of Munich, TUM School of Natural Sciences, Physics Department, James-Franck-Straße 1, 85748 Garching, GermanyTechnical University of Munich, TUM School of Natural Sciences, Physics Department, James-Franck-Straße 1, 85748 Garching, GermanyWe compute the planar three-loop Quantum Chromodynamics (QCD) corrections to the helicity amplitudes involving a vector boson V=Z,W±,γ⁎, two quarks and a gluon. These amplitudes are relevant to vector-boson-plus-jet production at hadron colliders and other precision QCD observables. The planar corrections encompass the leading colour factors N3, N2Nf, NNf2 and Nf3. We provide the finite remainders of the independent helicity amplitudes in terms of multiple polylogarithms, continued to all kinematic regions and in a form which is compact and lends itself to efficient numerical evaluation. The presented amplitude respects the conjectured symbol-adjacency constraints for amplitudes with three massless and one massive leg.http://www.sciencedirect.com/science/article/pii/S0370269323007037
spellingShingle Thomas Gehrmann
Petr Jakubčík
Cesare Carlo Mella
Nikolaos Syrrakos
Lorenzo Tancredi
Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders
Physics Letters B
title Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders
title_full Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders
title_fullStr Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders
title_full_unstemmed Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders
title_short Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders
title_sort planar three loop qcd helicity amplitudes for v jet production at hadron colliders
url http://www.sciencedirect.com/science/article/pii/S0370269323007037
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AT cesarecarlomella planarthreeloopqcdhelicityamplitudesforvjetproductionathadroncolliders
AT nikolaossyrrakos planarthreeloopqcdhelicityamplitudesforvjetproductionathadroncolliders
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