\tau\to \mu \bar{\nu_i} \nu_i decay in the general two Higgs doublet model

We study \tau\to \mu \bar{\nu_i} \nu_i, i=e,\mu,\tau decay in the model III version of the two Higgs doublet model. We calculated the BR at the order of the magnitude of 10^{-6}-10^{-4} for the intermediate values of the Yukawa couplings. Furthermore, we predict the upper limit of the coupling for the \tau-h^0 (A^0)-\tau transition as \sim 0.3 in the case that the BR is \sim 10^{-6}. We observe that the experimental result of the process under consideration can give comprehensive information about the physics beyond the standard model and the free parameters existing.Comment: 9 pages, 5 figure