Abstract
We revisit the radiative decays of the Higgs boson to a fermion pair \( h\to f\overline{f}\gamma \) where f denotes a fermion in the Standard Model (SM). We include the chirality-flipping diagrams via the Yukawa couplings at the order \( \mathcal{O}\left({y}_f^2\alpha \right) \), the chirality-conserving contributions via the top-quark loops of the order \( \mathcal{O}\left({y}_t^2{\alpha}^3\right) \), and the electroweak loops at the order \( \mathcal{O}\left({\alpha}^4\right) \). The QED correction is about \( {Q}_f^2\times \mathcal{O}\left(1\%\right) \) 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 h→μ + μ −γ is about a half of that of h→μ + μ −,and that of h→e + e − γ is more than four orders of magnitude larger than that of h → e + e −, both of which reach about 10−4. The branching fraction of h → τ + τ −γ is of the order 10−3. 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 \( h\to c\overline{c}\gamma \) and evaluate the observability at the LHC. We find it potentially comparable to the other related studies and better than the h → J/ψ γ channel in constraining the charm-Yukawa coupling.
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Han, T., Wang, X. Radiative decays of the Higgs boson to a pair of fermions. J. High Energ. Phys. 2017, 36 (2017). https://doi.org/10.1007/JHEP10(2017)036
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DOI: https://doi.org/10.1007/JHEP10(2017)036