Testing neutrino mass generation mechanisms from the lepton flavor violating decay of the Higgs boson

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.