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


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.

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S. Roy and N. Singh, "Expansion of UPMNS and Neutrino Mass Matrix Mv 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.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Y. Abe, et al., “Indication for the Disappearance of Reactor Electron Antineutrinos in the Double Chooz Experiment,” Physical Review Letters, Vol. 108, No. 13, 2012, pp. 131801-131807. doi:10.1103/PhysRevLett.108.131801
[2] F. An, et al., “Observation of Electron-Antineutrino Disappearance at Daya Bay,” Physical Review Letters, Vol. 108, No. 17, 2012, pp. 171803-171809.
[3] J. Ahn, et al., “Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment,” Physical Review Letters, Vol. 108, No. 18, 2012, Article ID: 191802. doi:10.1103/PhysRevLett.108.191802
[4] K. Abe, et al., “Indication of Electron Neutrino Appearance from an Accelerator Produced Off-Axis Muon Neutrino Beam,” Physical Review Letters, Vol. 107, No. 4, 2011, Article ID: 041801. doi:10.1103/PhysRevLett.107.041801
[5] R. Nichol, “Plenary Talk at the Neutrino 2012 Conference,” 2012. http://neu2012.kek.jp/
[6] G. L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo and A. M. Rotunno, “Global Analysis of Neutrino Masses, Mixings and Phases: Entering the Era of Leptonic CP Violation Searches,” Physical Review D, Vol. 86, No. 1, 2012, Article ID: 013012. doi:10.1103/PhysRevD.86.013012
[7] P. F. Harrison, D. H. Perkins and W. G. Scott, “Tri-Bimaximal Mixing and the Neutrino Oscillation Data,” Physics Letters B, Vol. 530, No. 1-4, 2002, pp. 167-173. doi:10.1016/S0370-2693(02)01336-9
[8] K. S. Babu, E. Ma and J. W. F. Valle, “Underlying A4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix,” Physics Letters B, Vol. 552, No. 3-4, 2003, pp. 207-213. doi:10.1016/S0370-2693(02)03153-2
[9] E. Ma, “The All-Purpose Neutrino Mass Matrix,” Physical Review D, Vol. 66, No. 11, 2002, pp. 117301- 11117303. doi:10.1103/PhysRevD.66.117301
[10] G. Altarelli and F. Feruglio, “Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions,” Nuclear Physics B, Vol. 720, No. 1-2, 2005, pp. 64-88. doi:10.1016/j.nuclphysb.2005.05.005
[11] G. Altarelli and F. feruglio, “Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry,” Nuclear Physics B, Vol. 741, No. 1-2, 2006, pp. 215-235. doi:10.1016/j.nuclphysb.2006.02.015
[12] G. Altarelli and F. feruglio, “Phenomenology of Neutrino Masses and Mixings,” Acta Physica Polonica B, Vol. 30, 1999, pp. 3067-3088.
[13] E. Ma and D. Wegman, “Nonzero θ13 for Neutrino Mixing in the Context of A4 Symmetry,” Physical Review Letters, Vol. 107, No. 6, 2011, Article ID: 061803. doi:10.1103/PhysRevLett.107.061803
[14] H. Ishimori and E. Ma, “New Simple A4 Neutrino Model for Nonzero θ13 and Large δCP,” Physical Review D, Vol. 86, No. 4, 2012, Article ID: 045030. doi:10.1103/PhysRevD.86.045030
[15] S. M. Boucenna, S. Morisi, M. Tortola and J. W. F. Valle, “Bi-Large Neutrino Mixing and the Cabibbo Angle,” Physical Review D, Vol. 86, No. 5, 2012, Article ID: 051301. doi:10.1103/PhysRevD.86.051301
[16] E. Ma, A. Natale and A. Rashed, “Scotogenic A4 Neutrino Model for Nonzero θ13 and Large δCP,” International Journal of Modern Physics A, Vol. 27, No. 23, 2012, Article ID: 1250134. doi:10.1142/S0217751X12501345
[17] D. Marzocca, S. T. Petcov, A. Romanino and M. Spinrath, “Sizeable θ13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation,” Journal of High Energy Physics, Vol. 2011, No. 9, 2011, in press. doi:10.1007/JHEP11(2011)009
[18] N. K. Francis and N. N. Singh, “Validity of Quasi-Degenerate Neutrino Mass Models and Their Predictions on Baryogenesis,” Nuclear Physics B, Vol. 863, No. 1, 2012, pp. 19-32. doi:10.1016/j.nuclphysb.2012.05.017

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