Lepton masses and mixings in a $A_{4}$ multi-Higgs model with radiative seesaw mechanism

TL;DR

This paper introduces a renormalizable multi-Higgs model with $A_{4}$ symmetry that explains neutrino masses and mixings, predicts specific Majorana neutrino masses, and provides a dark matter candidate.

Contribution

It presents a novel $A_{4}$ multi-Higgs framework with a radiative seesaw mechanism, aligning neutrino data and predicting dark matter and low-scale heavy neutrinos.

Findings

Neutrino masses and mixings match experimental data.

Predicted Majorana neutrino masses: 4 meV (normal) and 50 meV (inverted).

Model includes a dark matter candidate due to unbroken $Z_2$ symmetry.

Abstract

We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the tribimaximal mixing pattern of the neutrino mixing matrix. In this framework we study the charged lepton and neutrino masses and mixings. The light neutrino masses are generated via a radiative seesaw mechanism, which involves a single heavy Majorana neutrino and neutral scalars running in the loops. The obtained neutrino mixings and mass squared splittings are in good agreement with the neutrino oscillation experimental data for both normal and inverted hierarchy. The model predicts an effective Majorana neutrino mass $m_{\beta\beta}=$ 4 meV and 50 meV for the normal and the inverted neutrino spectrum, respectively. The model also features a suppression of CP violation in neutrino oscillations, a low scale for the heavy Majorana neutrino (few TeV) and, due to the unbroken $Z_2$ symmetry, a natural dark matter candidate.