\(SO(3)\) gauge symmetry and nearly tri-bimaximal neutrino mixing. (English) Zbl 1149.81383
Summary: In this note I mainly focus on the neutrino physics part in my talk and report the most recent progress made by Y. L. Wu [Phys. Rev. D 76, 1113009 (2008); arXiv:0708.0867]. It is seen that the Majorana features of neutrinos and \(SO(3)\) gauge flavor symmetry can simultaneously explain the smallness of neutrino masses and nearly tri-bimaximal neutrino mixing when combining together with the mechanism of approximate global U(1) family symmetry. The mixing angle \(\theta_{13}\) and CP-violating phase are in general nonzero and testable experimentally at the allowed sensitivity. The model also predicts the existence of vector-like Majorana neutrinos and charged leptons as well as new Higgs bosons, some of them can be light and explored at the LHC and ILC.
MSC:
| 81V15 | Weak interaction in quantum theory |
| 83F05 | Relativistic cosmology |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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