Bi-Large neutrino mixing with charged lepton correction

preprint2012arXivOpen access

Abstract

The usual Bi-Maximal (BM) neutrino mixing faces an inherent problem in lowering the solar mixing angle below tan⁡2θ12=0.50\tan^{2}θ_{12}=0.50 when charged lepton correction is taken. This minimum θ12θ_{12} is achievable only if CP violation is absent. We start with a new model which incorporates a new idea of mixing developed recently, called Bi-Large (BL) mixing, similar to BM mixing execpt that the former chooses rather θ13θ_{13} as Cabibbo angle (θc)(θ_c) than zero. We apply this mixing in the neutrino sector, followed by a charged lepton correction with the CKM type matrix UlU_{l}. This model marks a prediction on θ23θ_{23} to lie within the first octant. The CP violating phase δCPδ_{CP} dictates the prediction of all the three mixing angles. A proper choice of δCPδ_{CP} leads to the predictions of all the three mixing angles including θ12θ_{12}, to align very precisely with the experimental bestfits. This close agreement thus hoists Bi-Large mixing as an important and promising mixing scheme, in contrast to BM or TBM mixing as a first approximation. A formal derivation of BL mixing from discrete symmetry will be an important investigation in neutrino physics.

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