2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183993We study τ\to μ\bar{ν_i} ν_i, i=e,μ,τdecay 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 τ-h^0 (A^0)-τtransition 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.9 pages, 5 figuresHigh Energy Physics - Phenomenologytext