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 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.
@article{arxiv.2504.06490,
title = {Three-Loop QCD corrections to the production of a Higgs boson and a Jet},
author = {Xiang Chen and Xin Guan and Bernhard Mistlberger},
journal= {arXiv preprint arXiv:2504.06490},
year = {2025}
}