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Majorana features of neutrinos and SO(3) gauge symmetry of three familiesenable us to construct a gauge model of neutrino for understanding naturallythe observed smallness of neutrino masses and the nearly tri-bimaximal neutrinomixing when combining together with the mechanism of approximate global U(1)family symmetry. The vacuum structure of SO(3) symmetry breaking is found toplay an important role. The mixing angle $\theta_{13}$ and CP-violating phasesgoverned by the vacuum of spontaneous symmetry breaking are in general non-zeroand testable experimentally at the allowed sensitivity. The model predicts theexistence of vector-like SO(3) triplet charged leptons and vector-like SO(3)triplet Majorana neutrinos as well as SO(3) tri-triplet Higgs bosons, some ofthem can be light and explored at the colliders LHC and ILC.

Gauge Theory Model of the Neutrino and New Physics Beyond the Standard Model