Higgs-mediated tau-->3micro in the supersymmetric seesaw model.

Recent observations of neutrino oscillations imply nonzero neutrino masses and lepton flavor violation (LFV), most economically explained by the seesaw mechanism. Within the context of supersymmetry, LFV among the neutrinos can be communicated to the sleptons and from there to the charged leptons. We show that LFV can appear in the couplings of the neutral Higgs bosons, an effect that is strongly enhanced at large tan(beta. We calculate the branching fraction for tau-->3micro and micro-->3e mediated by Higgs and find they can be as large as 10(-7) and 5x10(-14), respectively. These modes, along with tau-->mugamma and mu-->egamma, can provide key insights into the neutrino mass matrix.