  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 $h\to \rho^+(K^{*+})\ell^-\bar{\nu}_\ell$, have
been explored in the standard model. Decay amplitudes are dominantly from the
Higgs couplings to gauge bosons and to charged leptons, and their branching
ratios are predicted in the range of $10^{-8}\sim 10^{-5}$. We have also
analyzed the differential dilepton invariant mass and angular distributions of
$h\to \rho^0 \ell^+\ell^-$ decays. It will be challenging to search for these
rare processes. Nevertheless, experimental studies of them, in particular,
$h\to \rho^0\ell^+\ell^-$ with $\ell=e,\mu$, might be interesting both to help
deepen our understanding of the standard model and to probe new physics beyond
the standard model in the future high-precision experiments.
