Neutrino phenomenology and scalar Dark Matter with $A_{4}$ flavor symmetry in Inverse and type II seesaw

TL;DR

This paper proposes a TeV scale seesaw model with $A_{4}$ flavor symmetry that explains neutrino mixing angles and dark matter relic abundance, integrating inverse and type II seesaw mechanisms.

Contribution

It introduces a novel realization of the inverse seesaw with $A_{4}$ symmetry and incorporates type II seesaw as a perturbation to generate realistic neutrino mixing.

Findings

Non-zero reactor mixing angle $ heta_{13}$ achieved.

Parameter space consistent with neutrino oscillation data and dark matter relic density identified.

Potential implications for future neutrino and dark matter experiments.

Abstract

We present a TeV scale seesaw mechanism for exploring the dark matter and neutrino phenomenology in the light of recent neutrino and cosmology data. A different realization of the Inverse seesaw(ISS) mechanism with $A_{4}$ flavor symmetry is being implemented as a leading contribution to the light neutrino mass matrix which usually gives rise to vanishing reactor mixing angle $\theta_{13}$. Using a non-diagonal form of Dirac neutrino mass matrix and $3\sigma$ values of mass square differences we parameterize the neutrino mass matrix in terms of Dirac Yukawa coupling "$y$". We then use type II seesaw as a perturbation which turns out to be active to have a non-vanishing reactor mixing angle without much disturbing the other neutrino oscillation parameters. Then we constrain a common parameter space satisfying the non-zero $\theta_{13}$, Yukawa coupling and the relic abundance of dark matter. Contributions of neutrinoless double beta decay are also included for standard as well as non-standard interaction. This study may have relevance in future neutrino and Dark Matter experiments.