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Bi-Large neutrino mixing with charged lepton correction
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abstract
The usual Bi-Maximal (BM) neutrino mixing faces an inherent problem in lowering the solar mixing angle below $\tan^{2}\theta_{12}=0.50$ when charged lepton correction is taken. This minimum $\theta_{12}$ 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 $\theta_{13}$ as Cabibbo angle $(\theta_c)$ 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 $\theta_{23}$ to lie within the first octant. The CP violating phase $\delta_{CP}$ dictates the prediction of all the three mixing angles. A proper choice of $\delta_{CP}$ leads to the predictions of all the three mixing angles including $\theta_{12}$, 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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Cited by 1 Pith paper
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Permuted Charged Lepton Correction in the Framework of Dirac Seesaw
An A4-based Dirac seesaw model produces a solar mixing angle at the edge of the experimental range, but this is driven by a freely scanned parameter.
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