Abstract
We discuss the neutrino flavor structures in the Occam’s razor approach for the Dirac neutrino mass matrices. We assume that the charged lepton mass matrix takes a diagonal base, while the right-handed Majorana neutrino mass matrix is also diagonal and we consider nine patterns of the four zero textures for the Dirac neutrinos mass matrices. We numerically analyze the left-handed Majorana neutrino mass matrices for nine patterns of the Dirac neutrino mass matrices and we find two interesting patterns where both normal and inverted neutrino mass hierarchies can be realized. We also find if the neutrino mass is normal hierarchy, this scenario will be likely to be excluded by the measurements of the Dirac CP violating phase in the T2K and NOνA neutrino experiments, for instance. On the other hand, if the neutrino mass is inverted hierarchy, this scenario will be also likely to be excluded by the measurements of neutrinoless double beta decay experiments, e.g., KamLAND-Zen experiment.
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References
M. Tanimoto and T.T. Yanagida, Occam’s Razor in Quark Mass Matrices, PTEP 2016 (2016) 043B03 [arXiv:1601.04459] [INSPIRE].
Y. Kaneta, Y. Shimizu, M. Tanimoto and T.T. Yanagida, Occam’s razor in lepton mass matrices: The sign of the universe’s baryon asymmetry, arXiv:1604.03315 [INSPIRE].
K. Harigaya, M. Ibe and T.T. Yanagida, Seesaw Mechanism with Occam’s Razor, Phys. Rev. D 86 (2012) 013002 [arXiv:1205.2198] [INSPIRE].
T2K collaboration, K. Abe et al., Observation of Electron Neutrino Appearance in a Muon Neutrino Beam, Phys. Rev. Lett. 112 (2014) 061802 [arXiv:1311.4750] [INSPIRE].
NOvA collaboration, P. Adamson et al., First measurement of electron neutrino appearance in NOvA, Phys. Rev. Lett. 116 (2016) 151806 [arXiv:1601.05022] [INSPIRE].
KamLAND-Zen collaboration, A. Gando et al., Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen, Phys. Rev. Lett. 117 (2016) 082503 [arXiv:1605.02889] [INSPIRE].
G.C. Branco, D. Emmanuel-Costa, M.N. Rebelo and P. Roy, Four Zero Neutrino Yukawa Textures in the Minimal Seesaw Framework, Phys. Rev. D 77 (2008) 053011 [arXiv:0712.0774] [INSPIRE].
S. Choubey, W. Rodejohann and P. Roy, Phenomenological consequences of four zero neutrino Yukawa textures, Nucl. Phys. B 808 (2009) 272 [Erratum ibid. B 818 (2009) 136] [arXiv:0807.4289] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Global Analyses of Neutrino Oscillation Experiments, Nucl. Phys. B 908 (2016) 199 [arXiv:1512.06856] [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal Symmetry And Masses Of Neutrinos, in Proceedings of the Workshop on Unified Theories and Baryon Number in the Universe, O. Sawada and A. Sugamoto eds., KEK-79-18-95 (1979) [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, in Supergravity, P. van Nieuwenhuizen and D.Z. Freedman eds., North Holland, Amsterdam (1979), [arXiv:1306.4669] [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Decay and Spontaneous Violation of Lepton Number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
A. Merle and W. Rodejohann, The elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros, Phys. Rev. D 73 (2006) 073012 [hep-ph/0603111] [INSPIRE].
C. Jarlskog, Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP-violation, Phys. Rev. Lett. 55 (1985) 1039 [INSPIRE].
Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [INSPIRE].
B. Pontecorvo, Neutrino Experiments and the Problem of Conservation of Leptonic Charge, Sov. Phys. JETP 26 (1968) 984 [INSPIRE].
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ArXiv ePrint: 1608.00200
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Shimizu, Y., Tatsuta, Y. Edge of a cliff. J. High Energ. Phys. 2016, 40 (2016). https://doi.org/10.1007/JHEP10(2016)040
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DOI: https://doi.org/10.1007/JHEP10(2016)040