Description
A phenomenological study for determining the chirality structure in lepton-flavor-violating Higgs (hLFV) decays $h \to \tau\mu$ at the LHC is presented. We estimate the effects of the $\tau$ polarization in the analysis. We find that the sensitivity would be generically affected up to $ \pm4-6 \%$ in terms of the BR($h\to\tau\mu$) upper bound. We further study the benchmark scenarios, and demonstrate the sensitivity study for the chirality structure. We find that the two fully polarized cases, the $\tau_R$ and $\tau_L$ scenarios consistent with the recently reported excess, are distinguishable at $2\sigma$ level for 1000 fb$^{-1}$.
