Hybrid Textures of Neutrino Mass Matrix under the Lamppost of Latest Neutrino and Cosmology Data

TL;DR

This paper systematically analyzes hybrid texture neutrino mass matrices with one zero and two equal non-zero elements, constraining their parameters using latest neutrino, cosmological, and baryon asymmetry data to identify viable models.

Contribution

It provides a comprehensive numerical study of hybrid texture neutrino mass matrices under current experimental and cosmological constraints, including implications for neutrinoless double beta decay and leptogenesis.

Findings

Identifies viable hybrid texture neutrino mass matrices consistent with data.

Constrains neutrino parameters and right-handed neutrino masses using cosmological bounds.

Links hybrid textures to baryon asymmetry generation via leptogenesis.

Abstract

We study all possible neutrino mass matrices with one zero element and two equal non-zero elements, known as hybrid texture neutrino mass matrices. In the diagonal charged lepton basis, we consider thirty nine such possible cases which are consistent with the latest neutrino data. Using the two constraints on neutrino mass matrix elements imposed by hybrid textures, we numerically evaluate the neutrino parameters like the lightest neutrino mass $m_{\text{lightest}}$, one Dirac CP phase $\delta$ and two Majorana CP phases $\alpha, \beta$ by using the global fit $3\sigma$ values of three mixing angles and two mass squared differences. We then constrain this parameter space by using the cosmological upper bound on the sum of absolute neutrino masses given by Planck experiment. We also calculate the effective neutrino mass matrix for this region of parameter space which may have relevance in future neutrinoless double beta decay experiments. We finally discriminate between these hybrid texture mass matrices from the requirement of producing correct baryon asymmetry through type I seesaw leptogenesis. We also constrain the light neutrino parameter space as well as the lightest right handed neutrino mass from the constraint on baryon asymmetry of the Universe from Planck experiment.