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

Abstract

Majorana features of neutrinos and SO(3) gauge symmetry of three families enable us to construct a gauge model of neutrino for understanding naturally the observed smallness of neutrino masses and the nearly tri-bimaximal neutrino mixing when combining together with the mechanism of approximate global U(1) family symmetry. The vacuum structure of SO(3) symmetry breaking is found to play an important role. The mixing angle ${\theta }_{13}$ and CP-violating phases governed by the vacuum of spontaneous symmetry breaking are in general non-zero and testable experimentally at the allowed sensitivity. The model predicts the existence 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 of them can be light and explored at the colliders LHC and ILC.

15 pages, only typos in table 1 corrected in this replaced version

References in corpus (12)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• A schematic model of neutrinos
• Z_3 Symmetry and Neutrino Mixing in Type II Seesaw

Cited by in corpus (6)

• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• $SU(3{)}_F$ Gauge Family Model and New Symmetry Breaking Scale From FCNC Processes
• SO(3) Gauge Symmetry and Nearly Tri-bimaximal Neutrino Mixing
• Model building by coset space dimensional reduction in ten-dimensions with direct product gauge symmetry
• The Mass Difference of $F-\bar{F}$ with SO(3) Family Gauge Symmetry
• Friedberg-Lee Symmetry for Quark Masses and Flavor Mixing