Update on two-zero textures of the Majorana neutrino mass matrix in light of recent T2K, Super-Kamiokande and NO$\nu$A results

Understand

The latest results from atmospheric and accelerator neutrino experiments indicate that the normal neutrino mass ordering $m^{}_1 < m^{}_2 < m^{}_3$, a maximal leptonic CP-violating phase $\delta = 270^\circ$ and the second octant of neutrino mixing angle $\theta^{}_{23} > 45^\circ$ are favored.

• In light of new experimental results, we update previous phenomenological studies on two-zero textures of the Majorana neutrino mass matrix $M^{}_\nu$, in the flavor basis where the charged-lepton mass matrix $M^{}_l$ is diagonal.
• When the $1\sigma$ ranges of neutrino mixing parameters are taken into account, only four (i.e., ${\bf A}^{}_{1, 2}$ and ${\bf B}^{}_{2,4}$) among seven two-zero patterns of $M^{}_\nu$ show the aforementioned features of neutrino mass spectrum, mixing angle $\theta^{}_{23}$ and CP-violating phase $\delta$, and thus are compatible with the latest neutrino oscillation data.
• The correlative relations among neutrino masses and mixing parameters have been derived analytically for these four patterns, and the allowed regions of neutrino mixing angles and the CP-violating phase are also given.