Neutrino masses in the economical 3-3-1 model

Abstract

We show that, in frameworks of the economical 3-3-1 model, the suitable pattern of neutrino masses arises from the three quite different sources - the lepton-number conserving, the spontaneous lepton-number breaking and the explicit lepton-number violating, widely ranging over the mass scales including the GUT one: $u\sim O(1)\mathrm{GeV}$, $v\approx 246\mathrm{GeV}$, $\om\sim O(1) \mathrm{TeV}$ and $\mathcal{M}\sim \mathcal{O}(10^{16})\mathrm{GeV}$. At the tree-level, the model contains three Dirac neutrinos: one massless, two large with degenerate masses in the order of the electron mass. At the one-loop level, the left-handed and right-handed neutrinos obtain Majorana masses $M_{L,R}$ in orders of $10^{-2}-10^{-3}\mathrm{eV}$ and degenerate in $M_R=-M_L$, while the Dirac masses get a large reduction down to $\mathrm{eV}$ scale through a finite mass renormalization. In this model, the contributions of new physics are strongly signified, the degenerations in the masses and the last hierarchy between the Majorana and Dirac masses can be completely removed by heavy particles. All the neutrinos get mass and can fit the data.

arXiv comment15 pages, 8 figures

References in corpus (54)

• Evidence for oscillation of atmospheric neutrinos
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Massive neutrinos and cosmology
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• Tau Neutrinos Favored over Sterile Neutrinos in Atmospheric Muon Neutrino Oscillations
• Muon Decay and Physics Beyond the Standard Model
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Measurement of the flux and zenith-angle distribution of upward through-going muons by Super-Kamiokande
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• $\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos
• Phenomenology of Neutrino Oscillations
• Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• The 331 model with right-handed neutrinos
• SU(3)_LxU(1)_N Model for Right-Handed Neutrino Neutral Currents
• Relic keV sterile neutrinos and reionization
• Pseudo-Dirac Neutrinos, a Challenge for Neutrino Telescopes
• Direct X-ray Constraints on Sterile Neutrino Warm Dark Matter
• Constraints on Sterile Neutrino Dark Matter
• Observables sensitive to absolute neutrino masses: Constraints and correlations from world neutrino data
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• Generating Neutrino Mass in the 331 Model
• 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
• 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
• Naturally light right-handed neutrinos in a 3-3-1 Model
• Pseudo-Dirac Scenario for Neutrino Oscillations
• $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ as an $E_6$ Subgroup
• 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
• Fermion masses in the economical 3-3-1 model
• Higgs-gauge boson interactions in the 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
• Oscillations of Pseudo-Dirac Neutrinos and the Solar Neutrino Problem
• Neutrino Decay and Neutrinoless Double Beta Decay in a 3-3-1 Model
• Family Dependence in SU(3)_C X SU(3)_L X U(1)_X models
• Less suppressed mu-e-gamma and tau-mu-gamma loop amplitudes and extra dimension theories
• Maximal mixing neutrino models
• Study of the SU(3)_c X SU(3)_L X U(1)_X model with the minimal scalar sector
• Phenomenology of the SU(3)_c X SU(3)_L X U(1)_X model with right-handed neutrinos
• Atomic parity violation in the economical 3-3-1 model
• Neutrinoless double beta decay with and without Majoron-like boson emission in a 3-3-1 model
• Revisiting pseudo-Dirac neutrinos
• Comment on ``Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions''
• Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions
• SU(3)c x SU(3)L x U(1)X gauge symmetry from SU(4)PS x SU(4)L+R

Cited by in corpus (49)

• Constraining Sterile Neutrino Warm Dark Matter with Chandra Observations of the Andromeda Galaxy
• The S_3 flavor symmetry in 3-3-1 models
• 3-3-1-1 model for dark matter
• Neutrino masses and lepton flavor violation in the 3-3-1 model with right-handed neutrinos
• Realistic $\mathrm{SU}(3{)}_{\mathrm{c}}\otimes \mathrm{SU}(3{)}_{\mathrm{L}}\otimes \mathrm{U}(1{)}_{\mathrm{X}}$ model with a type II Dirac neutrino seesaw mechanism
• The 3-3-1 model with inert scalar triplet
• Dark matter and flavor changing in the flipped 3-3-1 model
• Simple 3-3-1 model and implication for dark matter
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• The economical SU(3)_C X SU(3)_L X U(1)_X model
• Lepton number violation in 331 models
• Investigation of Dark Matter in Minimal 3-3-1 Models
• Supersymmetric economical 3-3-1 model
• Quark mass and mixing in the 3-3-1 model with neutral leptons based on $D_4$ flavor symmetry
• Natural PQ symmetry in the 3-3-1 model with a minimal scalar sector
• Electroweak phase transition in the economical 3-3-1 model
• Axion dark matter in a $3-3-1$ model
• Electroweak phase transition in the reduced minimal 3-3-1 model
• Vacuum stability conditions of the economical 3-3-1 model from copositivity
• Electroweak sphalerons in the reduced minimal 3-3-1 model
• Phenomenological aspects of the exotic $T$ quark in 331 models
• A compact 341 model at TeV scale
• Discriminating the minimal 3-3-1 models
• New constraints on the 3-3-1 model with right-handed neutrinos
• Phenomenology of the simple 3-3-1 model with inert scalars
• Constraints on economical 331 models from mixing of K, Bd and Bs neutral mesons
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos
• Higgs phenomenology of supersymmetric economical 3-3-1 model
• Canonical Seesaw Mechanism in Electro-Weak SU(4)L x U(1)Y Models
• Charges and Mass Spectrum in the Pisano-Pleitez-Frampton 3-3-1 Gauge Model
• Novel effects of the $W$-boson mass shift in the 3-3-1 model
• Sfermion masses in the supersymmetric economical 3-3-1 model
• The economical 3-3-1 model revisited
• Neutrino mass and dark matter from an approximate $B-L$ symmetry
• Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges
• Constraining the $3-3-1$ model with heavy neutral leptons using $(g-2{)}_{\mu }$ and dark matter observables
• Inflationary scenario in the supersymmetric economical 3-3-1 model
• Bilepton contributions to the neutrinoless double beta decay in the economical 3-3-1 model
• Vacuum Stability in the one-loop approximation of a 331 Model
• Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model
• 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
• Scotogenic model from an extended electroweak symmetry
• Neutrino Masses in Supersymmetric Economical SU(3)_C X SU(3)_L X U(1)_X Model
• Higgs sector phenomenology in the 3-3-1 model with an axionlike particle
• Muon Magnetic Moment and Lepton Flavor Violation in the Economical 3-3-1 Model
• Three decades of FCNC studies in 3-3-1 model with right-handed neutrinos: from $Z^{\prime }$-dominance to the alignment limit
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw