Lepton Flavor Violating Decays of Neutral Higgses in Extended Mirror Fermion Model

We perform the one-loop induced charged lepton flavor violating decays of the neutral Higgses in an extended mirror fermion model with non-sterile electroweak-scale right-handed neutrinos and a horizontal $A_4$ symmetry in the lepton sector. We demonstrate that for the 125 GeV scalar $h$ there is tension between the recent LHC result ${\cal B}(h \to \tau \mu) \sim $ 1% and the stringent limits on the rare processes $\mu \to e \gamma$ and $\tau \to (\mu$ or $e) \gamma$ from low energy experiments.