Transformative A_4 Mixing of Neutrinos with CP Violation

TL;DR

This paper introduces a novel theoretical model linking A4 symmetry to neutrino mixing and CP violation, predicting specific mixing angles and CP phase consistent with current experimental data.

Contribution

It proposes a unique dark sector and a radiative inverse seesaw mechanism, utilizing A4 symmetry to predict neutrino mixing parameters.

Findings

Predicts b3_{23} = c0/4 and b4_{CP} = \u00b1 c0/2 in neutrino mixing

Aligns well with current neutrino oscillation data

Introduces a dark sector with three neutral scalars

Abstract

A new theoretical insight into the pattern of neutrino mixing and leptonic $CP$ violation is presented. It leads naturally and uniquely to a specific dark sector of three real neutral scalar singlets, with the radiative implementation of the inverse seesaw mechanism for neutrino mass. The new simple but crucial enabling idea is that a familiar $A_4$ transformation turns any orthogonal $3 \times 3$ matrix into one which predicts $\theta_{23} = \pi/4$ and $\delta_{CP} = \pm \pi/2$ for the neutrino mixing matrix, in good agreement with present data.