  We study lepton flavor violating Higgs decays in two models, with the
recently found hint for Higgs $\to \mu \tau$ at CMS as a benchmark value for
the branching ratio. The first model uses the discrete flavor symmetry group
$A_4$, broken at the electroweak scale, while the second is renormalizable and
based on the Abelian gauge group $L_\mu - L_\tau$. Within the models we find
characteristic predictions for other non-standard Higgs decay modes, charged
lepton flavor violating decays and correlations of the branching ratios with
neutrino oscillation parameters.
