Testing Texture Two Zero Neutrino Mass Matrices Under Current Experimental Scenario

TL;DR

This study re-evaluates texture two zero Majorana neutrino mass matrices using recent experimental data, identifying which cases remain viable under current constraints and exploring implications for neutrino properties and neutrinoless double beta decay.

Contribution

It provides an updated analysis of five texture two zero neutrino mass matrices in light of recent Planck and oscillation data, identifying viable cases and their phenomenological implications.

Findings

Only cases B2 and B4 are viable for normal mass ordering.

Viable cases favor maximal CP violation and an octant of the mixing angle.

Implications for neutrinoless double beta decay are discussed.

Abstract

The latest data from Planck collaboration has presented an improved sensitivity limit of the sum of neutrino masses ($\Sigma$), $\Sigma <0.17eV$ at 95$\%$ confidence level (CL). On the other hand, the updated global fits of neutrino oscillation have shown a refined range of atmospheric mixing angle $\theta_{23}$ at the same CL. In the light of these observations, we have re-investigated the five viable cases ( $B_{1, 2, 3, 4}$ and $C$) of texture two zero Majorana mass matrix in the flavor basis. Using the present Planck's data, we have demonstrated that only cases $B_{2}$ and $B_{4}$ are now viable for normal mass ordering, while remaining three cases does not meet the present experimental constraints at 2$\sigma$ CL. The viable cases are also found to be in agreement with the latest T2K, Super-Kamiokande and NO$\nu$A results, indicating the preference for normal neutrino mass ordering ($m_{1} < m_{2}<m_{3}$), a maximal Dirac CP-violating phase ($\delta \simeq 270^{0}$), and upper octant of neutrino mixing angle ($\theta_{23} > 45^{0}$). In addition, the implication of $\Sigma$ on neutrinoless double beta decay is studied for viable cases.