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Radiative Decays of the Higgs Boson to a Pair of Fermions
We revisit the radiative decays of the Higgs boson to a fermion pair
where denotes a fermion in the Standard Model
(SM). We include the chirality-flipping diagrams via the Yukawa couplings at
the order , the chirality-conserving contributions
via the top-quark loops of the order , and the
electroweak loops at the order . The QED correction is
about and contributes to the running of fermion
masses at a similar level, which should be taken into account for future
precision Higgs physics. The chirality-conserving electroweak-loop processes
are interesting from the observational point of view. First, the branching
fraction of the radiative decay is about a half of
that of , and that of is more than
four orders of magnitude larger than that of , both of which
reach about . The branching fraction of is
of the order . All the leptonic radiative decays are potentially
observable at the LHC Run 2 or the HL-LHC. The kinematic distributions for the
photon energy or the fermion pair invariant mass provide non-ambiguous
discrimination for the underlying mechanisms of the Higgs radiative decay. We
also study the process and evaluate the observability at
the LHC. We find it comparable to the other related studies and better than the
channel in constraining the charm-Yukawa coupling.Comment: 23 pages, 6 figures, 6 tables; Minor corrections, references updated,
version published in JHE
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