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

preprint2013arXivOpen access

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 θ_{23} from maximal mixing, 2) reduce the predicted value of sin⁡22θ13\sin^2 2θ_{13} by 9.8%, 3) provide the same value of sin⁡2θ12\sin^2 θ_{12} as that of the tri-bimaximal mixing. This is shown by calculating sin⁡22θij(i,j=1,2,3)\sin^2 2θ_{ij} (i,j=1,2,3) to O(λ6){\cal O}(λ^6) in the framework in which the product of the CKM and PMNS matrices is bimaximal.

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