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Quark-lepton complementarity model based predictions for θ23PMNS\theta_{23}^{PMNS} with neutrino mass hierarchy

Abstract

After the successful investigation and confirmation of non zero θ13PMNS\theta_{13}^{PMNS} by various experiments, we are standing at a square where we still encounter a number of issues, which are to be settled. In this paper, we have extended our recent work towards a precise prediction of the θ23PMNS\theta_{23}^{PMNS} mixing angle, taking into account the neutrino mass hierarchy. We parameterize the non-trivial correlation between quark (CKM) and lepton (PMNS) mixing matrices in quark-lepton complementarity (QLC) model as Vc=UCKM.ψ.UPMNSV_{c}= U_{CKM}. \psi. U_{PMNS}, where ψ\psi is a diagonal phase matrix. Monte Carlo simulations are used to estimate the texture of VcV_{c} and compare the results with the standard Tri-Bi-Maximal (TBM) and Bi-Maximal(BM) structures of neutrino mixing matrix. We have predicted the value of θ23PMNS\theta_{23}^{PMNS} for normal and inverted neutrino mass hierarchies. The value of θ23PMNS\theta_{23}^{PMNS} obtained for two cases are about 1.3σ1.3\sigma away from each other, implying the better precision can give us a strong hint for the type of neutrino mass hierarchy.Comment: 3 pages, 3 figure

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