English

Bi-Large neutrino mixing with charged lepton correction

High Energy Physics - Phenomenology 2012-12-03 v1

Abstract

The usual Bi-Maximal (BM) neutrino mixing faces an inherent problem in lowering the solar mixing angle below tan2θ12=0.50\tan^{2}\theta_{12}=0.50 when charged lepton correction is taken. This minimum θ12\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 θ13\theta_{13} as Cabibbo angle (θc)(\theta_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 θ23\theta_{23} to lie within the first octant. The CP violating phase δCP\delta_{CP} dictates the prediction of all the three mixing angles. A proper choice of δCP\delta_{CP} leads to the predictions of all the three mixing angles including θ12\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.

Keywords

Cite

@article{arxiv.1211.7207,
  title  = {Bi-Large neutrino mixing with charged lepton correction},
  author = {Subhankar Roy and N. Nimai Singh},
  journal= {arXiv preprint arXiv:1211.7207},
  year   = {2012}
}

Comments

8 pages, 7 figures