Tuesday, July 24, 2012

1207.5225 (C. Duarah et al.)

Charged lepton contributions to bimaximal and tri-bimaximal mixings for
generating $\sinθ_{13}\neq 0$ and $\tan^2θ_{23}<1$
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C. Duarah, A. Das, N. Nimai Singh
Bimaximal (BM) and tri-bimaximal (TB) mixings of neutrinos are two special cases of lepton mixing matrix, which predict the reactor angle $\theta_{13}=0$ and the atmospheric angle $\tan^2\theta_{23}=1$. Recent precision measurements and global analysis of oscillation parameters, have confirmed a non-vanishing value of $\theta_{13}$ as well as deviations of $\theta_{12}$ and $\theta_{23}$ from their maximal values predicted by BM or TB mixing. In this work we mainly concentrate on $\theta_{13}$ and $\theta_{23}$ to assign $\sin\theta_{13}\neq 0$ and $\tan^2\theta_{23}<1$ with the help of charged lepton corrections defined by $U_{PMNS}=U^{\dagger}_lU_{\nu}$. We first consider $U_{\nu}$ to be given separately by BM and TB mixing matrices and then find the possible forms of $U_l}$ such that the elements of PMNS matrix, finally yield $\sin\theta_{13}\neq 0$ and $\tan^2\theta_{23}<1$. To compute the values of mixing angles we assume the charged lepton correction to be of CKM-like. All the mixing matrices considered here satisfy the unitarity condition.
View original: http://arxiv.org/abs/1207.5225

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