{
  "id": "2306.10170",
  "version": "v1",
  "published": "2023-06-16T20:13:40.000Z",
  "updated": "2023-06-16T20:13:40.000Z",
  "title": "Two-loop helicity amplitudes for $V+$jet production including axial vector couplings to higher orders in $ε$",
  "authors": [
    "Thomas Gehrmann",
    "Petr Jakubčík",
    "Cesare Carlo Mella",
    "Nikolaos Syrrakos",
    "Lorenzo Tancredi"
  ],
  "comment": "28 pages. Ancillary files to this work are available at https://users.hepforge.org/~petr-jak/Vjet_2L.html",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We compute the two-loop Quantum Chromodynamics (QCD) corrections to all partonic channels relevant for the production of an electroweak boson $V=Z,W^\\pm,\\gamma^*$ and a jet at hadron colliders. We consider the decay of a vector boson $V$ to three partons $ V \\to q\\bar{q}g$, $ V \\to 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 $\\mathcal{O}(\\epsilon^2)$. 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 $\\mathcal{O}(\\epsilon^2)$. We provide finite remainders of the helicity amplitudes analytically continued to all relevant scattering regions $q\\bar{q} \\to V g$, $q g \\to V q$ and $gg \\to V g$. The axial vector contribution to the gluon-induced channel completes the set of two-loop amplitudes for this process, while the extension to $\\mathcal{O}(\\epsilon^2)$ 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-16T20:13:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "axial vector coupling",
      "two-loop helicity amplitudes",
      "jet production",
      "higher orders",
      "hadron colliders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}