Zee model in a modular $A_4$ symmetry

Abstract

We study a Zee model applying a modular A 4 symmetry, where we construct our lepton model as minimum modular weight as possible. We show our predictions on phases and neutrino masses through our ∆χ 2 analysis. We find that normal hierarchy is favored, and τ is localized to 2.3i that is close to a fixed point of i × ∞. In this limit, our neutrino mass matrix comes to a two zero texture, which is called B 1 of the neutrino mass matrix. We show that our phase predictions are in good agreement with the ones of B 1 .

Discrete Flavor Symmetries and Lepton Masses and Mixings

“…particles which take part in the mass generation are in O(1-100) TeV range. On top of that, there are radiative neutrino mass models on the market with various additional flavor symmetries, for instance, modular S 3 and A 4[174][175][176][177][178]. Furthermore, these models provide extra contributions to neutrinoless double beta decay, electric dipole moments, anomalous magnetic moments and meson decays as well as matter-antimatter asymmetry, and may also solve the dark matter problem.While neutrino oscillation experiments are insensitive to the nature of neutrinos, experiments looking for lepton number violating signatures can probe the Majorana nature of neutrinos.…”