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Two-loop helicity amplitudes for V+jet production including axial vector couplings to higher orders in ϵ


Gehrmann, Thomas; Jakubčík, Petr; Mella, Cesare Carlo; Syrrakos, Nikolaos; Tancredi, Lorenzo (2023). Two-loop helicity amplitudes for V+jet production including axial vector couplings to higher orders in ϵ. Journal of High Energy Physics, 2023(9):192.

Abstract

We compute the two-loop Quantum Chromodynamics (QCD) corrections to all partonic channels relevant for the production of an electroweak boson V = Z, W$^{±}$, γ$^{*}$ and a jet at hadron colliders. We consider the decay of a vector boson V to three partons V → $$ q\overline{q}g $$, V → ggg with a vector and axial vector coupling in both channels, including singlet and non-singlet contributions. For the quark channel, we use a recent tensor decomposition and extend the calculation to $$ \mathcal{O} $$(ϵ$^{2}$). For the gluonic channel, we define a new tensor decomposition which allows us to compute the vector and the axial vector amplitudes at once and to perform the computation of the amplitudes to $$ \mathcal{O} $$(ϵ$^{2}$). We provide finite remainders of the helicity amplitudes analytically continued to all relevant scattering regions $$ q\overline{q} $$ → Vg, qg → Vq and gg → Vg. The axial vector contribution to the gluon-induced channel completes the set of two-loop amplitudes for this process, while the extension to $$ \mathcal{O} $$(ϵ$^{2}$) represents the first step in the calculation of next-to-next-to-next-to-leading-order (N$^{3}$LO) QCD corrections to Z+jet production at hadron colliders.

Abstract

We compute the two-loop Quantum Chromodynamics (QCD) corrections to all partonic channels relevant for the production of an electroweak boson V = Z, W$^{±}$, γ$^{*}$ and a jet at hadron colliders. We consider the decay of a vector boson V to three partons V → $$ q\overline{q}g $$, V → ggg with a vector and axial vector coupling in both channels, including singlet and non-singlet contributions. For the quark channel, we use a recent tensor decomposition and extend the calculation to $$ \mathcal{O} $$(ϵ$^{2}$). For the gluonic channel, we define a new tensor decomposition which allows us to compute the vector and the axial vector amplitudes at once and to perform the computation of the amplitudes to $$ \mathcal{O} $$(ϵ$^{2}$). We provide finite remainders of the helicity amplitudes analytically continued to all relevant scattering regions $$ q\overline{q} $$ → Vg, qg → Vq and gg → Vg. The axial vector contribution to the gluon-induced channel completes the set of two-loop amplitudes for this process, while the extension to $$ \mathcal{O} $$(ϵ$^{2}$) represents the first step in the calculation of next-to-next-to-next-to-leading-order (N$^{3}$LO) QCD corrections to Z+jet production at hadron colliders.

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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:27 September 2023
Deposited On:22 Dec 2023 12:46
Last Modified:19 Jul 2024 10:19
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep09(2023)192
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)