Discrete Flavour Symmetries in Light of T2K

Abstract

We show that a non-vanishing angle theta_13 of order 0.1 can be predicted in the framework of discrete flavour symmetries. We assume that left-handed leptons transform as triplets under a group G_f which is broken in such a way that neutrino and charged lepton sectors remain invariant under the subgroups G_nu and G_e of G_f, respectively. In this limit mixing angles and the Dirac CP violating phase delta_CP are determined. By choosing G_f=Delta(6 n^2) (n=4,8), G_nu=Z_2 x Z_2 and G_e=Z_3 we find sin^2 theta_13=0.045(0.011) for n=4(8). At the same time theta_23 and theta_12 remain close to their experimental best fit values, particularly in the case n=8, where sin^2 theta_23 = 0.424 and sin^2 theta_12 = 0.337. delta_CP is predicted to be 0 or pi so that CP is conserved in our examples.

1+11 pages, 1 figure; v2: matches journal version

References in corpus (14)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• The Reactor Antineutrino Anomaly
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• The Horizontal Symmetry for Neutrino Mixing
• Symmetry of Lepton Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• The golden ratio prediction for the solar neutrino mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• A model for trimaximal lepton mixing
• The Flavor Group Delta(6n^2)
• Golden Ratio Prediction for Solar Neutrino Mixing
• Group Theory and Dynamics of Neutrino Mixing
• Status of Tri/Bi-Maximal Neutrino Mixing

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