We study a set of exclusive decay modes of the Standard Model Higgs boson into a vector meson and a dilepton pair: $hto V ell^+ ell^-$, with $V=Upsilon, J/psi,phi$, and $ell=mu, tau$, determining the decay rates, the dilepton mass spectra and the $V$ longitudinal helicity fraction distributions. In the same framework, we analyze the exclusive modes into neutrino pairs $hto V u bar u$. We also discuss the implications of the recent CMS and ATLAS results for the lepton flavor-changing process $hto tau^+ mu^-$ on the $hto V tau^+ mu^-$ decay modes.
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