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


Gehrmann, Thomas; Jakubčík, Petr; Mella, Cesare Carlo; Syrrakos, Nikolaos; Tancredi, Lorenzo (2024). Planar three-loop QCD helicity amplitudes for V+jet production at hadron colliders. Physics Letters B, 848:138369.

Abstract

We compute the planar three-loop Quantum Chromodynamics (QCD) corrections to the helicity amplitudes involving a vector boson ⁎, 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 , , and . 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.

Abstract

We compute the planar three-loop Quantum Chromodynamics (QCD) corrections to the helicity amplitudes involving a vector boson ⁎, 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 , , and . 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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:1 January 2024
Deposited On:22 Dec 2023 12:44
Last Modified:29 Jun 2024 01:41
Publisher:Elsevier
ISSN:0370-2693
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/j.physletb.2023.138369
Project Information:
  • : FunderEuropean Research Council
  • : Grant ID
  • : Project Title
  • : FunderH2020
  • : Grant ID101019620
  • : Project TitleTOPUP - Theory of particle collider processes at ultimate precision
  • : FunderH2020
  • : Grant ID949279
  • : Project TitleHighPHun - High-Energy Physics at the Frontier with Mathematics
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)