We investigate how observations of the lepton flavor violating decay of the
Higgs boson (h→ℓℓ′) can narrow down models of neutrino mass
generation mechanisms, which were systematically studied in Refs. [1,2] by
focusing on the combination of new Yukawa coupling matrices with leptons. We
find that a wide class of models for neutrino masses can be excluded if
evidence for h→ℓℓ′ is really obtained in the current or
future collider experiments. In particular, simple models of Majorana neutrino
masses cannot be compatible with the observation of h→ℓℓ′. It
is also found that some of the simple models to generate masses of Dirac
neutrinos radiatively can be compatible with a significant rate of the h→ℓℓ′ process.Comment: 16 pages, 7 eps files, published in PL