LEPTON-FLAVOR-VIOLATING τ DECAYS IN TWO-HIGGS-DOUBLET MODEL III

We study the lepton-flavor-violating processes of tau(-) -> mu(-) PP decays with PP - K+K-, K-0(K) over bar (0), pi(+)pi(-), pi(0)pi(0) 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 vertical bar lambda(uu(dd))vertical bar term are very small for these four decays; (b) we get the correlation between vertical bar lambda(ss)vertical bar and vertical bar lambda(tau mu)vertical bar; for vertical bar lambda(tau mu)vertical bar similar to 10-400, one has vertical bar lambda(ss)vertical bar similar to 40-1; (c) in the existing model parameter space, Br(tau(-) -> mu(-) K+K-) could reach the order of O(10(-8)), but Br(tau -> mu(-) pi(+)pi(-), pi(0)pi(0)) are too small to be observed.