A radiative seesaw model in a supersymmetric modular $A_4$ group

Abstract

We propose a supersymmetric radiative seesaw model with modular A 4 symmetry. Thanks to contributions of supersymmetric partners to one-loop diagrams generating neutrino masses, we successfully fit neutrino data and obtain predictions in case of normal hierarchy in a minimal framework that would not be realized in a non-supersymmetric model. We show a several predictive figures and demonstrate a best fit benchmark point through χ 2 analysis.

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.…”