Low energy phenomena of the lepton sector in an $A_4$ symmetry model with heavy inverse seesaw neutrinos

Abstract

An extension of the two Higgs doublet model including inverse seesaw neutrinos and neutral Higgs bosons was constructed based on the $A_4$ symmetry in order to explain the recent neutrino oscillation data. This model can distinguish two well-known normal and inverted order schemes of neutrino data once both the effective masses $m_{\beta }$ in tritium beta decays and $⟨m⟩$ in the neutrinoless double beta decay are observed. The lepton flavor violating decays of the charged leptons $e_b\to e_a\gamma$, $\mu \to 3e$, the Standard model-like Higgs boson decays $h\to e_b{e}_a$, and the $\mu$-e conversions in some nuclei are generated from loop corrections. The experimental data of the branching ratio Br$(\mu \to e\gamma ,3e)$ predict that the upper bounds of Br$(\tau \to \mu \gamma ,e\gamma )$ and Br$(h\to e_a{e}_b)$ are much smaller than the planned experimental sensitivities. In contrast, the $\mu$-e conversions are the promising signals for experiments.

Comments: Matching the published version in PTEP