We study the lepton-flavor-violating processes of τ- → μ-PP decays with PP = K+K-, [Formula: see text], π+π-, π0π0 in the framework of two-Higgs-doublet model III by virtue of the chiral perturbation theory. In this model, only three neutral Higgs bosons contribute to these decays. With the current experimental constraints, we show that (a) the contributions of the |λuu(dd)| term are very small for these four decays; (b) we get the correlation between |λss| and |λτμ|; for |λτμ| ~ 10–400, one has |λss| ~ 40–1; (c) in the existing model parameter space, Br (τ- → μ- K+K-) could reach the order of [Formula: see text], but Br (τ → μ-π+π-/π0π0) are too small to be observed.
Lepton-flavor-violating Higgs decay h → μτ and muon anomalous magnetic moment in a general two Higgs doublet model
