  The triplet Higgs model, which is an extension of the standard model with a
weak-scale triplet Higgs boson, is capable of generating small neutrino masses
naturally. We investigate lepton flavor violation mediated by the triplet Higgs
boson. We stress that various neutrino mass patterns could be distinguished by
measuring the lepton flavor violating processes. \mu \to eee decay is
significantly enhanced in the case of the degenerate masses or the
inverted-hierarchical masses compared with that in the case of the hierarchical
masses. On the other hand, the \mu \to e \gamma rate and the \mu - e conversion
ratio in nuclei is almost insensitive to the mass spectra. We also emphasize
that these decay rates tend to increase as the magnitude of U_{e3} increases.
Lepton flavor nonconserving \tau decay modes are expected to be unobservable at
planned experiments in the light of the current upper bounds of flavor
violating muonic decay.
