Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-05-23
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages and 2 figures. And Daya Bay result is added
Scientific paper
Motivated by the Qin-Ma (QM) parametrization for the quark mixing matrix in which the {\it CP}-odd phase is approximately maximal, we propose a simple {\it 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) and a very large Dirac {\it CP}-odd phase. Specifically, we obtain $\theta_{13}\simeq 9.2^{\circ}$ and $\delta_{CP}\simeq {\cal O}(80^{\circ})$. 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.
Ahn Yu-Hwan
Cheng Hai-Yang
Oh Sechul
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