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

TL;DR

This paper constructs a realistic tribimaximal-like neutrino mixing matrix incorporating recent experimental data, predicting a non-zero reactor angle and significant CP violation, with implications for future neutrino experiments.

Contribution

It introduces a tribimaximal-like mixing matrix with a QM-inspired charged lepton sector, aligning with recent neutrino data and predicting observable CP violation.

Findings

Reactor mixing angle $ heta_{13} hickapprox 9.2^\u00b0$

CP phase $\u03b4_{CP} hickapprox 90^\u00b0$

Leptonic CP violation $|J^{\u211b}_{CP}| hickapprox a/6$

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 $\delta_{CP} \simeq \delta_{\rm QM} \simeq {\cal O}(90^{\circ})$. Furthermore, we show that the leptonic \CP violation characterized by the Jarlskog invariant is $|J^{\ell}_{CP}|\simeq \lambda/6$, which could be tested in the future experiments such as the upcoming long baseline neutrino oscillation ones.