Predictive linear seesaw model with $\Delta \left( 27\right) $ family symmetry

TL;DR

This paper proposes a predictive linear seesaw model incorporating a $elta(27)$ family symmetry to explain small neutrino masses and address flavor issues, constrained by lepton flavor violation data.

Contribution

It introduces a novel combination of the linear seesaw mechanism with $elta(27)$ symmetry, providing new insights into neutrino mass generation and flavor structure.

Findings

Constraints on right-handed neutrino masses from $eta o e eta o e eta$ processes

Model's predictions for leptonic mixing parameters

Compatibility with existing lepton flavor violation limits

Abstract

We consider a model that accounts for the smallness of neutrino masses through the linear seesaw mechanism and employs a $\Delta(27)$ family symmetry to address the flavour problem. The model is predictive in the leptonic sector and faces constraints from Lepton Flavour Violation processes, namely $\mu \to e \gamma$, which indicate a range for the Right-Handed neutrino mass.