In the light of recent experimental results on $\theta_{ 13}^{ pmns}$, we re-investigate the complementarity between the quark and lepton mixing matrices and obtain predictions for most unsettled neutrino mixing parameters like $\theta_{ 23}^{ pmns}$ and CP violating phase invariants $J$, $S_1$ and $S_2$. This paper is motivated by our previous work where in a QLC model we predicted the value for $\theta_{ 13}^{ pmns}=(9{ ^{ +1}_{ -2}})^\circ$, which was found to be in strong agreement with the experimental results. In the QLC model the non-trivial correlation between CKM and PMNS mixing matrices is given by a correlation matrix ($V_{ c}$). We do numerical simulation and estimate the texture of the $V_{ c}$ and in our findings we get a small deviation from the Tri-Bi-Maximal (TBM) texture and a large from the Bi-Maximal one, which is consistent with the work already reported in literature. In the further investigation we obtain quite constrained limits for $sin^2{ \theta_{ 23}^{ pmns}}= 0.4235_{ -0.0043}^{ +0.0032}$ that is narrower to the existing ones. We also obtain the constrained limits for the three CP violating phase invariants $J$, $S_1$ and $S_2$: as $J < 0.0315$, $S_{ 1} <0.12$ and $S_{ 2} <0.08$, respectively.
Categories: hep-ph