Abstract

The rare three-body decay of a Higgs boson to a lepton-antilepton pair and a photon is starting to become experimentally accessible at the LHC. We investigate how higher-order QCD corrections to the dominant gluon-fusion production process impact on the fiducial cross sections in this specific Higgs decay mode for electrons and muons. Corrections up to NNLO QCD are found to be sizeable. They are generally uniform in kinematical variables related to the Higgs boson, but display several distinctive features in the kinematics of its individual decay products.

Highlights

  • We investigate how higher-order QCD corrections to the dominant gluon-fusion production process impact on the fiducial cross sections in this specific Higgs decay mode for electrons and muons

  • We investigate the impact of NNLO QCD corrections on fiducial cross sections related to H → l+l−γ final states

  • QCD corrections up to NNLO are computed for Higgs production and Higgs-plus-jet production using the NNLOJET framework, which is based on the antenna subtraction method [37–39], closely following our earlier work for other Higgs boson decay modes [24, 31]

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Summary

Introduction

JHEP01(2022) the resonant-Z region receiving an enhanced contribution from H → Zγ decays and the low-mass region being dominated by H → γ∗γ decays. Fixed-order QCD corrections were computed up to N3LO [18–21] for Higgs boson production in gluon fusion and up to NNLO [22–26] for Higgs-boson-plus-jet production. These calculations are being combined with the dominant decay modes (γγ, 4l, 2l2ν) to yield fully exclusive final states accurate to these orders [27–33]. QCD corrections up to NNLO are computed for Higgs production and Higgs-plus-jet production using the NNLOJET framework, which is based on the antenna subtraction method [37–39], closely following our earlier work for other Higgs boson decay modes [24, 31]. The implementation of H → l+l−γ in NNLOJET is validated for Born-level predictions with up to three jets with MCFM [16, 17]

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