Non-maximal \theta_{23}, large \theta_{13} and tri-bimaximal \theta_{12} via quark-lepton complementarity at next-to-leading order

Abstract

We show that the next-to-leading order corrections in the quark-lepton complementarity are important to explain the observed pattern of neutrino mixing. In particular, the next-to-leading order corrections 1) lead to a deviation of \theta_{23} from maximal mixing, 2) reduce the predicted value of ${\sin }^{2}2{\theta }_{13}$ by 9.8%, 3) provide the same value of ${\sin }^2{\theta }_{12}$ as that of the tri-bimaximal mixing. This is shown by calculating ${\sin }^{2}2{\theta }_{ij}(i,j=1,2,3)$ to $\mathcal{O}({\lambda }^6)$ in the framework in which the product of the CKM and PMNS matrices is bimaximal.

Comments: 14 pages, 3 figures, a version to appear in EPL