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Implications of δ^(CP)_lsim 270^circ and θ₂₃gtrsim 45^circ for texture specific lepton mass matrices and 0ν β β decay

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arxiv 1607.00958 v2 pith:BP5J3PAE submitted 2016-07-04 hep-ph

Implications of δ^(CP)_lsim 270^circ and θ₂₃gtrsim 45^circ for texture specific lepton mass matrices and 0ν β β decay

classification hep-ph
keywords masssimeqbetacircneutrinoleptonmatricescharacterized
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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