  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. Possible realizations
of four viable two-zero textures via non-Abelian discrete flavor symmetries are
discussed.
