Lepton flavor violation with supersymmetric Higgs triplets in the TeV region for neutrino masses and leptogenesis

Lepton flavor violating processes such as mu-->3e and mu-->egamma are investigated with a supersymmetric Higgs triplet pair Delta and (Delta) over bar in light of neutrino masses and experimentally verifiable leptogenesis. The Higgs triplet mass M-Delta is expected to be in the range of 1-100 TeV. The branching ratios of these charged lepton decays are evaluated in terms of M-Delta and the coupling fLDeltaL of the Higgs triplet Delta with lepton doublet pairs LL, which is proportional to the neutrino mass matrix. They may be reached in future collider experiments. In particular, the mu-->3e decay would be observed indicating the existence of Higgs triplets with M(Delta)similar to1-100 TeV for \f\similar to0.1-1, while the mu-->egamma decay can be significant irrespective of M-Delta in the supersymmetric model due to the flavor violation in the slepton mass matrices induced by the renormalization effects.