Bi-Large neutrino mixing with charged lepton correction

TL;DR

This paper introduces the Bi-Large mixing scheme, which, combined with charged lepton corrections, accurately predicts neutrino mixing angles and CP violation, offering a promising alternative to traditional models.

Contribution

The paper proposes the Bi-Large mixing model with charged lepton corrections, providing precise predictions for neutrino mixing angles and CP phase, improving upon previous models like BM and TBM.

Findings

Predicted mixing angles align with experimental best fits.

Model constrains $ heta_{23}$ to the first octant.

Proper $ heta_{CP}$ choice yields accurate angle predictions.

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.