Implications of $δ^{CP}_l\sim 270^\circ$ and $θ_{23}\gtrsim 45^\circ$ for texture specific lepton mass matrices and $0νββ$ decay

Abstract

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 $δ_{l}\sim 270^\circ$ along with $θ_{23}\gtrsim 45^\circ$, 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 $M_ν$ are essential for realizing such structures. In particular, such hierarchical neutrino mass matrices are not supportive for a vanishing neutrino mass $m_{ν1}\rightarrow 0$ characterized by Det$M_ν\ne 0$ and predict ${m_{ν1}} \simeq (0.1 - 8.0)$ $meV$ , ${m_{ν2}} \simeq (8.0 - 13.0)$ $meV$, ${m_{ν3}} \simeq (47.0 - 52.0)$ $meV$, $Σ\simeq (56.0 - 71.0)$ $meV$ and $\left\langle {m_{ee}} \right\rangle \simeq (0.01 - 10.0)$ $meV$, respectively, indicating that the task of observing a $0νββ$ decay may be rather challenging for near future experiments.