Cubic Mass Relation in $\mathrm{SU}(3)\times \mathrm{U}(1)$ Electroweak Theory

Abstract

In the 331 model, lepton number may be explicitly broken by trilinear scalar self couplings. This leads to neutrino masses proportional to the cube of the corresponding charged lepton mass, with consequences for solar neutrinos and for hot dark matter.

12 pages (3 figures appended to RevTeX file), IFP-465-UNC

Cited by in corpus (42)

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• $S_{2L}$ permutation symmetry for left-handed $\mu$ and $\tau$ families and neutrino oscillations in an $SU(3{)}_L\times U(1{)}_N$ gauge model
• Generating Neutrino Mass in the 331 Model
• SU(3)_{c} X SU(3)_{L} X U(1)_{X} models for βarbitrary and families with mirror fermions
• Lepton flavor changing processes and CP violation in the 331 model
• Z and Z' decays with and without FCNC in 331 models
• Radiatively Induced Neutrino Masses and Oscillations in an SU(3)_LxU(1)_N Gauge Model
• The Scalar Sector of 3-3-1 Models
• Radiative Seesaw in Minimal 3-3-1 Model
• Neutrino masses through see-saw mechanism in 3-3-1 models
• Bilarge Neutrino Mixing and μ- τPermutation Symmetry for Two-loop Radiative Mechanism
• Radiatively Generated Neutrino Masses in SU(3)_L x U(1)_N Gauge Models
• Neutrino masses through a type II seesaw mechanism at TeV scale
• A supersymmetric 3-3-1 model
• Radiative seesaw-type mechanism of quark masses in SU(3\)_{C}\otimes SU(3\)_{L}\otimes U\(1\)_{X}$
• Large Mixing Angle MSW Solution in an SU(3)_LxU(1)_N Gauge Model with Two-loop Radiative Mechanism
• Two-loop Radiative Neutrino Mechanism in an $SU(3{)}_L\times U(1{)}_N$ Gauge Model
• Family Dependence in SU(3)_C X SU(3)_L X U(1)_X models
• The Interplay between Neutrinos and Charged Leptons in the Minimal SU(3)_LxU(1)_N Gauge Model
• Higgs Phenomenology in the Minimal $SU(3{)}_L\times U(1{)}_X$ Model
• Comment on Neutrino Masses and Oscillations in an $SU(3{)}_L\times U(1{)}_N$ Model with Radiative Mechanism
• Quantization of eletric charge, the neutrino and generation nonuniversality
• The Scalar Sector in 331 Models
• Calculable lepton masses, seesaw relations and four neutrino mixings in a 3-3-1 model with extra U(1) symmetry
• Seesaw tau lepton mass and calculable neutrino masses in a 3-3-1 model
• Mass-matrix ansatz and constraints on $B_s^0-{\bar{B}}_s^0$ mixing in 331 models
• Phenomenology of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ model with exotic charged leptons
• The Landau Pole and $Z^{\prime }$ decays in the 331 bilepton model
• Quark mass hierarchy in 3-3-1 models
• Axigluon on like-sign charge asymmetry ${\mathcal{A}}_{s\ell }^b$, FCNCs and CP asymmetries in B decays
• Dark Matter from Binary Tetrahedral Flavor Symmetry
• Nonzero theta_13 signals nonmaximal atmospheric neutrino mixing
• 3-3-1 exotic quark search at CERN LEPII-LHC
• Early LHC bound on W' boson in the nonuniversal gauge interaction model
• Diphoton decay for a 750 GeV scalar boson in a $SU(6)\otimes U(1{)}_X$ model
• Heavy quark signals from radiative corrections to the $Z^{\prime }$ boson decay in 3-3-1 models
• Neutrinos and Electromagnetic Gauge Invariance
• Note on Triangle Anomalies and Assignment of Singlet in 331-like Model
• Charged fermion masses with Yukawa coupling strength universality
• Production of multiple charged Higgs bosons in 3-3-1 models
• Colored bosons on top FBA and angular cross section for $t\bar{t}$ production
• Small Elements in Fermion Mass Matrices and Anomalous Dipole Moments