Tri-bimaximal-Cabibbo Mixing

Abstract

Recent measurements of the lepton mixing angle ${\theta }_{13}$ by the Daya Bay and RENO reactor experiments are consistent with the relationship ${\theta }_{13}\approx {\theta }_C/\sqrt{2}$ where ${\theta }_C$ is the Cabibbo angle. We propose Tri-bimaximal-Cabibbo (TBC) mixing, in which $\sin {\theta }_{13}=\sin {\theta }_C/\sqrt{2}$, $\sin {\theta }_{23}=1/\sqrt{2}$ and $\sin {\theta }_{12}=1/\sqrt{3}$. We show that TBC mixing may arise approximately from Tri-bimaximal, Bi-maximal or Golden Ratio neutrino mixing, together with Cabibbo-like charged lepton corrections arising from a Pati-Salam gauge group, leading to predictions for the CP-violating phase of $\delta \approx \pm 90^o,\pm 180^o,\pm 75^o$, respectively. Alternatively, we show that TBC neutrino mixing may realised accurately using the type I see-saw mechanism with partially constrained sequential right-handed neutrino dominance, assuming a family symmetry which is broken by a flavon common to quarks and neutrinos.

16 pages. References added, minor changes

References in corpus (17)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Quark-Lepton Complementarity in Unified Theories
• Golden Ratio Prediction for Solar Neutrino Mixing
• U_{PMNS} = U_ell^dagger U_nu
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Large U_{e3} and Tri-bimaximal Mixing
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• A new relation between quark and lepton mixing matrices
• Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices
• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• A new simple form of quark mixing matrix

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• Radiative Generation of Non-zero ${\theta }_{13}$ in MSSM with broken $A_4$ Flavor Symmetry
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• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
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• Unified Lepto-Quark Mixing
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• Double Froggatt--Nielsen Mechanism
• Neutrino mass, mixing and discrete symmetries
• Relating Lepton Mixing Angles with Lepton Mass Hierarchy
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections
• Parametrization of lepton mixing matrix in terms of deviations from bi-maximal and tri-bimaximl mixing
• Non-SUSY Lepton Flavor Model with 3HDM
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• Neutrino Oscillations in the Three Flavor Paradigm
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