Dependence of $\tan^2 θ_{12}$ on Dirac CP phase $δ$ in tri-bimaximal neutrino mixing under charged lepton correction

Chandan Duarah; Abhijeet Das; N. Nimai Singh

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arXiv · 1210.8265

Dependence of $\tan^2 θ_{12}$ on Dirac CP phase $δ$ in tri-bimaximal neutrino mixing under charged lepton correction

Chandan Duarah·Abhijeet Das·N. Nimai Singh

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Abstract

We consider charged lepton correction to Tri-bimaximal(TBM) neutrino mixing, defined by the relation $U_{PMNS}=U^{\dagger}_l U_{TB}$ and find possible form of $U_l$ which can impart non-zero value of $\sin θ_{13}$ as well as $\tan^2 θ_{23}<1$, consistent with latest global analysis data. We adopt a new parametrization, other than the standard PDG parametrization, to introduce Dirac CP violating phase $δ$ in the PMNS matrix which is discussed by Fritzsch. Under such charged lepton correction pattern we note that $\tan^2 θ_{12}$ becomes dependent on the CP phase $δ$ from where constraints on $δ$ phase can be obtained after employing experimental range of mixing angles. To compute the values of mixing angles we assume the charged lepton correction to be of Cabibbo-Kobayashi-Maskawa(CKM) like. Since all the mixing matrices involved in the calculation, are derived from three dimensional rotation matrices they satisfy unitarity condition.

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Chandan Duarah, Abhijeet Das, N. Nimai Singh. 2012-10-31. Dependence of $\tan^2 θ_{12}$ on Dirac CP phase $δ$ in tri-bimaximal neutrino mixing under charged lepton correction. https://arxiv.org/abs/1210.8265

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