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Inspired by a new relation $\theta_{13}^{\rm PMNS}={\theta_C}/{\sqrt{2}}$observed from the relatively large $\theta_{13}^{\rm PMNS}$, we find that thecombination of this relation with the quark-lepton complementarity and theself-complementarity results in correlations of the lepton mixing angles withthe quark mixing angles. We find that the three mixing angles in the PMNSmatrix are all related to the Wolfenstein parameter $\lambda$ in the quarkmixing, so they are also correlated. Consequently, the PMNS matrix can beparameterized by $\lambda$, A, and a Dirac CP-violating phase $\delta$. Suchparametrizations for the PMNS matrix have the same explicitly hierarchicalstructure as the Wolfenstein parametrization for the CKM matrix in the quarkmixing, and the bimaximal mixing pattern is deduced at the leading order. Wealso discuss implications of these phenomenological relations inparametrizations.

Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters