Abstract

The mixing among gauge bosons in the 3-3-1 models with the discrete symmetries is investigated. To get tribimaximal neutrino mixing, we have to introduce sextets containing neutral scalar components with lepton numberL=1,2. Assignation of VEVs to these fields leads to the mixing of the new gauge bosons and those in the standard model. The mixing in the charged gauge bosons leads to the lepton number violating interactions of theWboson. The same situation happens in the neutral gauge boson sector.

Highlights

  • The experimental evidences of nonzero neutrino masses and mixing 1 have shown that the standard model of fundamental particles and interactions must be extended

  • SU 3 L 3 anomaly cancelation requires that the number of SU 3 L fermion triplets must be equal to that of antitriplets. If these multiplets are respectively enlarged from those of the standard model, the fermion family number is deduced to be a multiple of the fundamental color number, which is three, coinciding with the observation see Frampton in 2

  • Assignation of VEVs to these fields leads to the mixing among new gauge bosons and that of the SM in the economical [3-1] model 24– 26, and such mixing leads to the lepton violating interactions

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Summary

Introduction

The experimental evidences of nonzero neutrino masses and mixing 1 have shown that the standard model of fundamental particles and interactions must be extended. SU 3 L 3 anomaly cancelation requires that the number of SU 3 L fermion triplets must be equal to that of antitriplets If these multiplets are respectively enlarged from those of the standard model, the fermion family number is deduced to be a multiple of the fundamental color number, which is three, coinciding with the observation see Frampton in 2. Assignation of VEVs to these fields leads to the mixing among new gauge bosons and that of the SM in the economical [3-1] model 24– 26 , and such mixing leads to the lepton violating interactions.

Brief Review of the Model
Gauge Bosons
Λ1u1 λ1u1 v 2 ω2 4Λ21
10 The associated eigenvector is
M324 2
Charged Currents
Conclusions
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