Recent Neutrino Data and a Realistic Tribimaximal-like Neutrino Mixing Matrix

Abstract

In light of the recent neutrino experimental results from Daya Bay and RENO Collaborations, we construct a realistic tribimaximal-like Pontecorvo-Maki-Nakagawa-Sakata (PMNS) leptonic mixing matrix. Motivated by the Qin-Ma (QM) parametrization for the quark mixing matrix in which the CP-odd phase is approximately maximal, we propose a simple ansatz for the charged lepton mixing matrix, namely, it has the QM-like parametrization, and assume the tribimaximal mixing (TBM) pattern for the neutrino mixing matrix. The deviation of the leptonic mixing matrix from the TBM one is then systematically studied. While the deviation of the solar and atmospheric neutrino mixing angles from the corresponding TBM values, i.e. ${\sin }^2{\theta }_{12}=1/3$ and ${\sin }^2{\theta }_{23}=1/2$, is fairly small, we find a nonvanishing reactor mixing angle given by $\sin {\theta }_{13}\approx \lambda /\sqrt{2}$ ($\lambda \approx 0.22$ being the Cabibbo angle). Specifically, we obtain ${\theta }_{13}\simeq 9.2^{\circ }$ and ${\delta }_{CP}\simeq {\delta }_{\mathrm{QM}}\simeq \mathcal{O}(90^{\circ })$. Furthermore, we show that the leptonic \CP violation characterized by the Jarlskog invariant is $|J_{CP}^{\ell }|\simeq \lambda /6$, which could be tested in the future experiments such as the upcoming long baseline neutrino oscillation ones.

12 pages and 2 figures. Accepted in Physics Letter B

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• Re-evaluation of neutrino mixing pattern according to latest T2K result
• A new relation between quark and lepton mixing matrices
• Simple renormalizable flavor symmetry for neutrino oscillations
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Leptons and Quarks from a Discrete Flavor Symmetry
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings
• Partial $\mu -\tau$ Textures and Leptogenesis
• A dynamical CP source for CKM, PMNS and Leptogenesis
• Deviation to the Tri-Bi-Maximal flavor pattern and equivalent classes
• Embedding Generalized CP Symmetry in One Zero Texture Neutrino Mass Models