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  • Letter
  • Open Access

Three-loop QCD corrections to the production of a Higgs boson and a jet

Xiang Chen1,*, Xin Guan2,†, and Bernhard Mistlberger2,‡

  • *Contact author: xiang.chen@physik.uzh.ch
  • †Contact author: guanxin@slac.stanford.edu
  • ‡Contact author: bernhard.mistlberger@gmail.com
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Phys. Rev. D 114, L011502 – Published 7 July, 2026

DOI: https://doi.org/10.1103/bqs9-2g2c

Abstract

We compute three-loop QCD corrections to the scattering amplitude of a Higgs boson and three partons interfered with its tree level counterpart. Specifically, we derive our results in the generalized leading color limit. Our results are represented in terms of so-called multiple polylogarithms and thus are ready for use in phenomenological predictions. We provide the three-loop amplitudes necessary to compute the production cross section of a Higgs boson and a hadronic jet at hadron colliders and the decay probability of a Higgs boson to three hadronic jets at lepton colliders.

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Phys. Rev. D 114, L011502– Published 7 July, 2026
  • Received 19 April 2025
  • Accepted 8 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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