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arXiv · 2307.15405

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

Thomas Gehrmann·Petr Jakubčík·Cesare Carlo Mella·Nikolaos Syrrakos·Lorenzo Tancredi
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Abstract

We compute the planar three-loop Quantum Chromodynamics (QCD) corrections to the helicity amplitudes involving a vector boson $V=Z,W^\pm,\gamma^*$, 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 $N^3$, $N^2 N_f$, $N N_f^2$ and $N_f^3$. We provide the finite remainders of the independent helicity amplitudes in terms of multiple polylogrithms, continued to all kinematic regions and in a form which is compact and lends itself to efficient numerical evaluation.

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Thomas Gehrmann, Petr Jakubčík, Cesare Carlo Mella, Nikolaos Syrrakos, Lorenzo Tancredi. 2023-07-28. Planar three-loop QCD helicity amplitudes for $V$+jet production at hadron colliders. https://arxiv.org/abs/2307.15405

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