Expansion of UPMNS and Neutrino Mass Matrix Mv in Terms of sinθ13 for Inverted Hierarchical Case

Subhankar  Roy; Nangkham Nimai  Singh

doi:10.4236/jmp.2013.44070

Subhankar Roy^*, Nangkham Nimai Singh^*

Abstract: The recent observational data supports the deviation from Tri-bimaximal (TBM) mixing. Different theories suggest the interdependency among the observational parameters involving the mixing angles. On phenomenological ground, we try to construct the PMNS matrix, UPMNS with certain analytic structure satisfying spontaneously the unitary condition, in terms of a single observational parameter sinθ13 We hypothesise the three neutrino masses, mi as functions of sinθ13 and then construct the neutrino mass matrix Mv with certain exact and expandable form. We assume the convergence of the model to TBM mixing when θ13 is taken 0. The mass matrix so far obtained can be employed for various applications including the estimation of matter-antimatter asymmetry of the universe.

Keywords: Inverted Hierarchy; Tri-Bimaximal Mixing; Neutrino Masses; μ-τ Symmetry

Cite this paper: S. Roy and N. Singh, "Expansion of UPMNS and Neutrino Mass Matrix M_v in Terms of sinθ₁₃ for Inverted Hierarchical Case," Journal of Modern Physics, Vol. 4 No. 4, 2013, pp. 495-500. doi: 10.4236/jmp.2013.44070.

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