We study the phenomenological consequences of recent results from atmospheric and accelerator neutrino experiments, favoring normal neutrino mass ordering $m_1 < m_2 < m_3$, a near maximal lepton Dirac CP phase $\delta_{ l}\sim 270^\circ$ along with $\theta_{ 23}\gtrsim 45^\circ$, for possible realization of natural structure in the lepton mass matrices characterized by ${ ({ M_{ ij}})} \sim O(\sqrt { { m_i}{ m_j}}) $ for $i,j=1,2,3$. It is observed that deviations from parallel texture structures for $M_{ l}$ and $M_{ \nu}$ are essential for realizing such structures. In particular, such hierarchical neutrino mass matrices are not supportive for a vanishing neutrino mass $m_{ \nu 1}\rightarrow 0$ characterized by Det$M_{ \nu}\ne 0$ and predict ${ m_{ \nu 1}} \simeq (0.1 - 8.0)$ $meV$ , ${ m_{ \nu 2}} \simeq (8.0 - 13.0)$ $meV$, ${ m_{ \nu 3}} \simeq (47.0 - 52.0)$ $meV$, $\Sigma \simeq (56.0 - 71.0)$ $meV$ and $\left\langle { { m_{ ee}}} \right\rangle \simeq (0.01 - 10.0)$ $meV$, respectively, indicating that the task of observing a $0\nu \beta \beta$ decay may be rather challenging for near future experiments.
Categories: hep-ph