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Exclusive rare Higgs decays into lepton pair plus one light hadron, such as$h\to \rho^0(\omega)\ell\bar{\ell}$, $h\to \pi^0\ell\bar{\ell}$, $h\to \pi^+(K^+)\ell^-\bar{\nu}_\ell$, and $h\to \rho^+(K^{*+})\ell^-\bar{\nu}_\ell$, havebeen explored in the standard model. Decay amplitudes are dominantly from theHiggs couplings to gauge bosons and to charged leptons, and their branchingratios are predicted in the range of $10^{-8}\sim 10^{-5}$. We have alsoanalyzed the differential dilepton invariant mass and angular distributions of$h\to \rho^0 \ell^+\ell^-$ decays. It will be challenging to search for theserare processes. Nevertheless, experimental studies of them, in particular,$h\to \rho^0\ell^+\ell^-$ with $\ell=e,\mu$, might be interesting both to helpdeepen our understanding of the standard model and to probe new physics beyondthe standard model in the future high-precision experiments.

Exclusive rare Higgs decays into lepton pair and light mesons