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Bi-Large neutrino mixing with charged lepton correction

The usual Bi-Maximal (BM) neutrino mixing faces an inherent problem in lowering the solar mixing angle below $\tan^{2}θ_{12}=0.50$ when charged lepton correction is taken. This minimum $θ_{12}$ 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 $θ_{13}$ as Cabibbo angle $(θ_c)$ than zero. We apply this mixing in the neutrino sector, followed by a charged lepton correction with the CKM type matrix $U_{l}$. This model marks a prediction on $θ_{23}$ to lie within the first octant. The CP violating phase $δ_{CP}$ dictates the prediction of all the three mixing angles. A proper choice of $δ_{CP}$ leads to the predictions of all the three mixing angles including $θ_{12}$, 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.

preprint2012arXivOpen access

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