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 \( \mathcal{O} \)(ϵ2). 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 \( \mathcal{O} \)(ϵ2). 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 \( \mathcal{O} \)(ϵ2) represents the first step in the calculation of next-to-next-to-next-to-leading-order (N3LO) QCD corrections to Z+jet production at hadron colliders.
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Acknowledgments
We are grateful to Federico Buccioni for his help with the validation of our results against OpenLoops2. This work was supported in part by the Excellence Cluster ORIGINS funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2094-390783311, by the Swiss National Science Foundation (SNF) under contract 200020-204200, and by the European Research Council (ERC) under the European Union’s research and innovation programme grant agreements 949279 (ERC Starting Grant HighPHun) and 101019620 (ERC Advanced Grant TOPUP).
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Gehrmann, T., Jakubčík, P., Mella, C.C. et al. Two-loop helicity amplitudes for V+jet production including axial vector couplings to higher orders in ϵ. J. High Energ. Phys. 2023, 192 (2023). https://doi.org/10.1007/JHEP09(2023)192
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DOI: https://doi.org/10.1007/JHEP09(2023)192