τ-→μ-π0(η,η') decays in new physics scenarios beyond the standard model

The semileptonic decays τ-→μ-M(M=π0,η,η') could be sensitive probes for new physics scenarios with lepton flavor violation (LFV). Motivated by the recent Belle measurement, we investigate these decays in the type III two-Higgs-doublet model, R-parity violating supersymmetric models, and flavor changing Z' models with family nonuniversal couplings, respectively. In these new physics scenarios, there are LFV couplings at tree level. Our results have shown that the decays are very sensitive to the LFV couplings and could be enhanced to the present experimental sensitivities. We have derived tighter bounds on relevant couplings of these models, which may be useful for further relevant studies