Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model

Abstract

We have shown that non-zero U_{e3} is generated in a see-saw type softly broken A_4 symmetric model through a single parameter perturbation in m_D in a single element. We have explored all possible 9 cases to study the neutrino mixing angles considering the best fitted values of Δm_{\odot}^2 and Δm_{atm}^2 with all parameters real. We have extended our analysis for the complex case and demonstrated large low energy CP violation (J_{CP}\simeq 10^{-2}) and m_{ee} in addition to mixing and mass pattern. We have also investigated leptogenesis and for a reasonable choice of model parameters compatible with low energy data, WMAP value of baryon asymmetry 6\times 10^{-10} is obtained for right handed neutrino mass scale M_0\simeq 10^{13} GeV. We have obtained a relation among the phases responsible for leptogenesis and have shown that these phases also have correlations with low energy CP violating phases.

35 pages, 16 figures, discussion and reference added, version to appear in Phys. Rev. D

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• Theory of the Neutrino Mass