Testing Texture Two Zero Neutrino Mass Matrices Under Current Experimental Scenario

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.

arXiv comment10 figures, 2 tables

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