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We study the lepton flavor violating H^+ -> W^+ l_i^- l_j^+ and the leptonflavor conserving $H^+ -> W^+ l_i^- l_i^+ (l_i=\tau, l_j=\mu) decays in thegeneral 2HDM, so called model III. We estimate the decay width \Gamma for LFV(LFC) at the order of the magnitude of (10^{-11}-10^{-5}) GeV  ((10^{-9}-10^{-4}) GeV), for 200 GeV\leq m_{H^\pm}\leq 400  GeV, and the intermediate values of the coupling  \bar{\xi}^{E}_{N,\tau \mu}\sim 5 GeV (\bar{\xi}^{E}_{N,\tau  \tau}\sim 30 GeV). We observe that the experimental result of the processunder consideration can give comprehensive information about the physics beyondthe standard model and the existing free parameters.Comment: 8 pages, 7 Figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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