Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model

Abstract

The $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_N$ model of Pisano and Pleitez extends the Standard Model in a particularly nice way, so that for example the anomalies cancel only when the number of generations is divisible by three. The original version of the model has some problems accounting for the lepton masses. We resolve this problem by modifying the details of the symmetry breaking sector in the model.

Latex, 7 pages revised version of preprint McGill/92-31 (We have corrected some typos and expanded the explanation of the Higgs potential analysis and introduced discrete symmetries which assure that neutrinos remain massless.)

References in corpus (1)

• $SU(3)\otimes U(1)$ Model for Electroweak Interactions

Cited by in corpus (267)

• $\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos
• The 331 model with right-handed neutrinos
• The electroweak theory of SU(3) $\times$ U(1)
• $S_{2L}$ permutation symmetry for left-handed $\mu$ and $\tau$ families and neutrino oscillations in an $SU(3{)}_L\times U(1{)}_N$ gauge model
• Heavy Charged Leptons in an $SU(3{)}_L\otimes U(1{)}_N$ Model
• Large gauge invariant non-standard neutrino interactions
• Charge quantization in a chiral bilepton gauge model
• Z' models for the LHCb and g-2 muon anomalies
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• The strong-CP question in SU(3)_c X SU(3)_L X U(1)_N models
• Dark Matter and Global Symmetries
• 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
• Concerning the Landau Pole in 3-3-1 Models
• SU(3)_C X SU(3)_L X U(1)_X model with two Higgs triplets
• The scalar sector of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ model
• Lepton flavor changing processes and CP violation in the 331 model
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Z and Z' decays with and without FCNC in 331 models
• The 3-3-1 model with S_4 flavor symmetry
• Bilepton Production at Hadron Colliders
• Naturally light invisible axion in models with large local discrete symmetries
• The S_3 flavor symmetry in 3-3-1 models
• Phenomenology of the 3-3-1-1 model
• Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model
• Electric Charge Quantization in SU(3)_C X SU(3)_L X U(1)_X Models
• Connection of $g-2_{\mu }$, electroweak, dark matter, and collider constraints on 331 models
• Radiatively Induced Neutrino Masses and Oscillations in an SU(3)_LxU(1)_N Gauge Model
• 3-3-1-1 model for dark matter
• Remark on the vectorlike nature of the electromagnetism and the electric charge quantization
• Stabilizing the invisible axion in 3-3-1 models
• The Scalar Sector of 3-3-1 Models
• Supersymmetric SU(3) X U(1) Gauge Model: Higgs Structure at the Electroweak Scale
• Probing 3-3-1 Models in Diphoton Higgs Boson Decay
• $SU(4{)}_L\otimes U(1{)}_N$ model for the electroweak interactions
• Radiative Seesaw in Minimal 3-3-1 Model
• Flavor Changing Neutral Current Effects and CP Violation in the Minimal 3-3-1 Model
• The 3-3-1 model with A_4 flavor symmetry
• Self-interacting dark matter from an SU(3)_L \otimes U(1)_N electroweak model
• Self-interacting dark matter and Higgs bosons in the SU(3)_C x SU(3)_L x U(1)_N model with right-handed neutrinos
• $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ as an $E_6$ Subgroup
• Constraining Flavor Changing Interactions from LHC Run-2 Dilepton Bounds with Vector Mediators
• Generation non-universality and flavor changing neutral currents in the 331 model
• Quark Family Discrimination and Flavour-Changing Neutral Currents in the SU(3)_C X SU(3)_L X U(1) Model with Right-Handed Neutrinos
• Neutrino masses in the economical 3-3-1 model
• Charge quantization in the largest leptoquark-bilepton chiral electroweak scheme
• S, T, U parameters in $SU(3{)}_C\times SU(3{)}_L\times U(1)$ model with right-handed neutrinos
• R-parity as a residual gauge symmetry : probing a theory of cosmological dark matter
• Neutrino masses and lepton flavor violation in the 3-3-1 model with right-handed neutrinos
• Evading the Few TeV Perturbative Limit in 3-3-1 Models
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• Neutrinoless double beta decay in an $SU(3{)}_L\otimes U(1{)}_N$ model
• Neutrino masses through see-saw mechanism in 3-3-1 models
• The Dark Side of Flipped Trinification
• The minimal 3-3-1 model with only two Higgs triplets
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• Chromomagnetic Dipole Moment of the Top Quark Revisited
• Fermion masses in the economical 3-3-1 model
• Bilarge Neutrino Mixing and μ- τPermutation Symmetry for Two-loop Radiative Mechanism
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• The 3-3-1 model with inert scalar triplet
• Dark matter and flavor changing in the flipped 3-3-1 model
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Lepton masses and mixing in $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ models with a $S_3$ flavor symmetry
• Neutrino masses through a type II seesaw mechanism at TeV scale
• Two-body $Z^{\prime }$ decays in the minimal 331 model
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Anomalous magnetic moment of muon in 3-3-1 models
• Simple 3-3-1 model and implication for dark matter
• A flipped 331 model
• A supersymmetric 3-3-1 model
• Higgs-gauge boson interactions in the economical 3-3-1 model
• The Higgs sector in the minimal 3-3-1 model with the most general lepton-number conserving potential
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• Exact one-loop results for $l_i\to l_j\gamma$ in 3-3-1 models
• FCNC in the minimal 3-3-1 model revisited
• Systematic study of the SU(3)_c X SU(4)_L X U(1)_X gauge symmetry
• Mass Bounds for Flavour Mixing Bileptons
• Vector-Like Leptons and Inert Scalar Triplet: Lepton Flavor Violation, $g-2$ and Collider Searches
• Closing the $SU(3{)}_L\otimes U(1{)}_X$ Symmetry at Electroweak Scale
• Unifying the electroweak and B-L interactions
• Nucleon instability in a supersymmetric SU(3)_c X SU(3)_L X U(1) model
• Radiative seesaw-type mechanism of quark masses in SU(3\)_{C}\otimes SU(3\)_{L}\otimes U\(1\)_{X}$
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Lepton-flavor violating decays of neutral Higgs to muon and tauon in supersymmetric economical 3-3-1 model
• SU(3)_c X SU(3)_L X U(1)_X as an SU(6) X U(1)_X subgroup
• Large Mixing Angle MSW Solution in an SU(3)_LxU(1)_N Gauge Model with Two-loop Radiative Mechanism
• The economical SU(3)_C X SU(3)_L X U(1)_X model
• Supersymmetric 3-3-1 model with right-handed neutrinos
• Family Dependence in SU(3)_C X SU(3)_L X U(1)_X models
• Inflation and leptogenesis in the 3-3-1-1 model
• Lepton number violation in 331 models
• Trilinear gauge boson couplings and bilepton production in the SU(3)_C X SU(3)_L X U(1)_N models
• The Interplay between Neutrinos and Charged Leptons in the Minimal SU(3)_LxU(1)_N Gauge Model
• Soft superweak CP violation in a 331 model
• Precision tools and models to narrow in on the 750 GeV diphoton resonance
• Neutrino masses and superheavy dark matter in the 3-3-1-1 model
• A minimal 3-3-1 model with naturally sub-eV neutrinos
• A 3-3-1 model with low scale seesaw mechanisms
• Investigation of Dark Matter in Minimal 3-3-1 Models
• Higgs Phenomenology in the Minimal $SU(3{)}_L\times U(1{)}_X$ Model
• Supersymmetric economical 3-3-1 model
• The Higgs Sector of the Minimal 3 3 1 Model Revisited
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Comment on Neutrino Masses and Oscillations in an $SU(3{)}_L\times U(1{)}_N$ Model with Radiative Mechanism
• Supersymmetric reduced minimal 3-3-1 model
• Left-right asymmetry and 750 GeV diphoton excess
• Lepton masses in a supersymmetric 3-3-1 model
• Perturbativity constraints on $U(1{)}_{B-L}$ and left-right models and implications for heavy gauge boson searches
• Flavor changing neutral currents in 331 models
• Quantization of eletric charge, the neutrino and generation nonuniversality
• Signals of Doubly-Charged Higgsinos at the CERN Large Hadron Collider
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• On the chirality of the SM and the fermion content of GUTs
• Minimal extended flavor groups, matter fields chiral representations, and the flavor question
• 3-3-1 Models at Electroweak Scale
• Neutral Higgs decays $H\to Z\gamma ,\gamma \gamma$ in 3-3-1 models
• The Scalar Sector in 331 Models
• Z' in the 3-3-1 model
• Lepton Masses from a TeV Scale in a 3-3-1 Model
• Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry
• Scalar sextet in the 331 model with right-handed neutrinos
• Standard-model-like Higgs boson production at the CERN LHC in 3-3-1 model with right-handed neutrinos
• Electroweak phase transition in the economical 3-3-1 model
• Calculable lepton masses, seesaw relations and four neutrino mixings in a 3-3-1 model with extra U(1) symmetry
• Atomic parity violation in cesium and implications for the 3 - 3 - 1 models
• The electroweak theory based on SU(4)_L X U(1)_X gauge group
• Lepton Flavor Violation and Collider Searches in a Type I + II Seesaw Model
• Dead or Alive? Implications of the Muon Anomalous Magnetic Moment for 3-3-1 Models
• Leptophobic Character of the Z' in an SU(3)_C x SU(3)_L x U(1)_X model
• Charginos and Neutralinos Production at 3-3-1 Supersymmetric Model in $e^{-}{e}^{-}$ Scattering
• Axion dark matter in a $3-3-1$ model
• Seesaw tau lepton mass and calculable neutrino masses in a 3-3-1 model
• Vacuum stability conditions of the economical 3-3-1 model from copositivity
• Physical constraints derived from FCNC in the 3-3-1-1 model
• Electroweak phase transition in the reduced minimal 3-3-1 model
• Spontaneous breaking of a global symmetry in a 331 model
• Mass-matrix ansatz and constraints on $B_s^0-{\bar{B}}_s^0$ mixing in 331 models
• Soft CP violation in K-meson systems
• The simplest 3-3-1 model
• Symmetry breaking patterns of the 3-3-1 model at finite temperature
• Phenomenological aspects of the exotic $T$ quark in 331 models
• Atomic parity violation in the economical 3-3-1 model
• Electroweak sphalerons in the reduced minimal 3-3-1 model
• Discriminating the minimal 3-3-1 models
• Effects of an extra $Z^{\prime }$ gauge boson on the top quark decay $t-->c\gamma$
• Neutrinoless double beta decay with and without Majoron-like boson emission in a 3-3-1 model
• Phenomenology of the simple 3-3-1 model with inert scalars
• Lepton Flavor Violation Induced by Dark Matter
• Quark mass hierarchy in 3-3-1 models
• Constraints on economical 331 models from mixing of K, Bd and Bs neutral mesons
• New constraints on the 3-3-1 model with right-handed neutrinos
• Single Production of Doubly Charged Higgsinos at linear e-e- colliders
• Orbifold Breaking of 3-3-1 Model
• Single production of the doubly charged scalar in the littlest Higgs model
• Pairs of charged heavy-leptons from an SU(3) X U(1) model at CERN LHC
• Kinetic mixing effect in the 3-3-1-1 model
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos
• Neutral Higgs bosons in the SU(3)$_{L}\otimesU(1)_{N}$ model
• 3-3-1 exotic quark search at CERN LEPII-LHC
• Flavor changing in the flipped trinification
• Constraining heavy neutral gauge boson $Z^{\prime }$ in the 3 - 3 - 1 models by weak charge data of Cesium and proton
• Higgs and gauge boson phenomenology of the 3-3-1 model with CKS mechanism
• Accidental symmetries and massless quarks in the economical 3-3-1 model
• Higgs phenomenology of supersymmetric economical 3-3-1 model
• Electric charge quantization in SU(3)XSU(4)XU(1) models
• Vector- and Scalar-Bilepton Pair Production in Hadron Colliders
• Higgs revised in Supersymmetric Economical 3-3-1 model with B/μ-type terms
• Neutrino Masses in the Supersymmetric SU(3)_C X SU(3)_L X U(1)_X Model with right-handed neutrinos
• Limits on Exotic Quarks in the SU(3)xU(1) Extension of the Standard Model from SUSY Search Data
• Bounding the Minimal 331 Model through the Decay B -> X_s gamma
• Axion model with the $\mathrm{SU}(6)$ unification
• Pairs of charged heavy-fermions from an SU(3)$_{L}\otimesU(1)_{N}$ model at $e^{+}{e}^{-}$ colliders
• A model for mixed warm and hot right-handed neutrino dark matter
• Charged lepton mixing processes in 331 Models
• Lepton flavor violating processes τ->μγ$,$τ-> 3μ$and$Z-> μτ$ in the Supersymmetric economical 3-3-1 model
• Bilepton and exotic quark mass limits in 331 models from Z -> b anti-b decay
• Charges and Mass Spectrum in the Pisano-Pleitez-Frampton 3-3-1 Gauge Model
• Investigation of Dark Matter in the 3-2-3-1 Model
• Hierarchical Fermions and Detectable $Z^{\prime }$ from Effective Two-Higgs-Triplet 3-3-1 Model
• Doubly charged Higgs from $e$-$\gamma$ scattering in the 3-3-1 Model
• Suppression of scalar mediated FCNCs in a $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$-model
• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• Signatures of Double Charged Higgs in $SU(3{)}_L\otimes U(1{)}_N$ model
• Renormalization Group and Grand Unification with 331 Models
• Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions
• Effects of Possible $\Delta B=-\Delta Q$ Transitions in Neutral $B$ Meson Decays}
• Four Leptons Production in $e^{-}$ $e^{+}$ Collisions from 3-3-1 Model
• Dynamically Induced Spontaneous Symmetry Breaking in 3-3-1 Models
• The electromagnetic gauge invariance in $SU(3{)}_L\otimes U(1{)}_N$ models of electroweak unification reexamined
• The upper bound of the lightest Higgs boson in a supersymmetric $SU(3{)}_L\otimes U(1{)}_X$ gauge model
• Neutrino Mixing and the Minimal 3-3-1 Model
• Quartic Gauge Boson Couplings and Tree Unitarity in the SU(3)_C X SU(3)_L X U(1)_N Models
• Combining type I and type II seesaw mechanisms in the minimal 3-3-1 model
• The Diboson Excess: Experimental Situation and Classification of Explanations; A Les Houches Pre-Proceeding
• Neutrino Mass Squared Differences in the Exact Solution of a 3-3-1 Gauge Model without Exotic Electric Charges
• Are 3-4-1 models able to explain the upcoming results of the muon anomalous magnetic moment?
• SU(3)c x SU(3)L x U(1)X gauge symmetry from SU(4)PS x SU(4)L+R
• Gauge vectors and double beta decay
• The economical 3-3-1 model revisited
• Neutrino mass and dark matter from an approximate $B-L$ symmetry
• Sfermion masses in the supersymmetric economical 3-3-1 model
• Diphoton decay for a 750 GeV scalar boson in a $SU(6)\otimes U(1{)}_X$ model
• $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_X$ model from $SU(6)$
• How low-scale Trinification sheds light in the flavour hierarchies, neutrino puzzle, dark matter and leptogenesis
• Vector-bilepton Contribution to Four Lepton Production at the LHC
• On the triplet anti-triplet symmetry in 3-3-1 models
• Constraining the $3-3-1$ model with heavy neutral leptons using $(g-2{)}_{\mu }$ and dark matter observables
• Heavy quark signals from radiative corrections to the $Z^{\prime }$ boson decay in 3-3-1 models
• Phenomenology of the SU(3)_C \otimes SU(2)_L \otimes SU(3)_R \otimes U(1)_X gauge model
• Universal Seesaw and $0\nu \beta \beta$ in new 3331 left-right symmetric model
• Scalar Sector in the Minimal Supersymmetric 3-3-1 model
• Decays Z --> ggg and Z-prime --> ggg in the minimal 331 model
• Neutrinos and Electromagnetic Gauge Invariance
• Neutral meson mixing induced by box diagrams in the 3-3-1 model with heavy leptons
• Bilepton contributions to the neutrinoless double beta decay in the economical 3-3-1 model
• Bounds on quark mixing, $M_{Z^{\prime }}$ and $Z-Z^{\prime }$ mixing angle from flavor changing neutral processes in a 3-3-1 model
• Constraints on free parameters of the simplest bilepton gauge model from the neutral kaon system mass difference
• Vacuum Stability in the one-loop approximation of a 331 Model
• Scale-invariant 3-3-1-1 model with $B-L$ symmetry
• New physics in $\text{b}\to \text{s}$ transitions in the MF331 model
• Mass Spectrum in the Minimal Supersymmetric 3-3-1 model
• Non-thermal leptogenesis in supersymmetric 3-3-1 model with inflationary scenario
• Bounds on dipole moments of tau-neutrino from single photon searches in $SU(4{)}_L\times U(1{)}_X$ model at CLIC and ILC energies
• Doubly charged Higgs through photon photon collisions in 3-3-1 models
• LHC Constraints on 3-3-1 Models
• Minimal non-universal EW extensions of the Standard Model: a chiral multi-parameter solution
• The Higgs boson in the minimal 3-3-1 model
• Multi-period structure of electro-weak phase transition in the 3-3-1-1 model
• Kinetic mixing effect in noncommutative $B-L$ gauge theory
• Investigation of Higgs boson anomalous FCNC interactions in the simple 3-3-1 model
• Phenomenology of a minimal extension of the standard model with a family-dependent gauge symmetry
• Reply to ``Comment on `Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions' ''
• Bottom quark and tau lepton masses in a toy $\mathrm{SU}(6)$
• Charged fermion masses with Yukawa coupling strength universality
• Decay properties of a class of doubly charged Higgs bosons
• Lower Mass Bound on the $W^{\prime }$ mass via Neutrinoless Double Beta Decay in a 3-3-1 Model
• A supersymmetric 3-4-1 model
• Signal of doubly charged Higgs at $e^{+}{e}^{-}$ colliders
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Flavor phenomenology of an extended 2HDM with inverse seesaw mechanism
• Trimuon production at the LHC
• Higgs sector phenomenology in the 3-3-1 model with an axionlike particle
• Neutrino Masses in Supersymmetric Economical SU(3)_C X SU(3)_L X U(1)_X Model
• Production of multiple charged Higgs bosons in 3-3-1 models
• Electroweak phase transition via Dilaton in Two-Time Physics
• Muon Magnetic Moment and Lepton Flavor Violation in the Economical 3-3-1 Model
• Radiative corrections to the $\mathrm{S},\mathrm{T},\mathrm{U}$ parameters and their impact on the $W$ boson mass in the 331 model
• Is our vacuum global in a 331 model with three triplets?
• Neutrino Energy Loss Rates in 3-3-1 Models
• Single Z' production at CLIC based on e^- gamma collisions
• Probing Dark Matter in the Economical 3-3-1 Model
• Dark matter in the scale-invariant 3-3-1-1 model
• Minimal 3-3-1 model with a spectator sextet
• The Revival of Kaon Flavour Physics
• A two-generational $\mathrm{SU}(7)$ model with extended weak sector: mass hierarchies, mixings, and the flavor non-universality
• Rescuing 331 bileptons from the Landau pole
• Electric charge assignment in quantum field theories
• Flipped SU(6) Unification of the $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$ Model
• Sphaleron and gravitational wave with the Higgs-Dilaton potential in the Standard Model Two-Time Physics
• Implications of a dark grand unification
• Confronting the inverse seesaw mechanism with the recent muon g-2 result
• Neutrino masses in an $SU(4)\times U(1)$ -- electroweak model with a scalar decuplet
• Alternative $Z^{\prime }$ Bosons in $E_6$
• Hadronic resonances with exotic electric charge