The $\Delta (27)$ flavor 3-3-1 model with neutral leptons

Abstract

We build the first 3-3-1 model based on the $\Delta (27)$ discrete group symmetry, consistent with fermion masses and mixings. In the model under consideration, the neutrino masses are generated from a combination of type-I and type-II seesaw mechanisms mediated by three heavy right-handed Majorana neutrinos and three $SU(3{)}_L$ scalar antisextets, respectively. Furthermore, from the consistency of the leptonic mixing angles with their experimental values, we obtain a non-vanishing leptonic Dirac CP violating phase of $-\frac{\pi }{2}$. Our model features an effective Majorana neutrino mass parameter of neutrinoless double beta decay, with values $m_{\beta \beta }=$ 10 and 18 meV for the normal and the inverted neutrino mass hierarchies, respectively.

35 pages, 1 figure, discussion enlarged, references added. Journal version to appear in Nuclear Physics B

References in corpus (43)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino oscillations refitted
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• The GERDA experiment for the search of 0νββ decay in ^{76}Ge
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• The golden ratio prediction for the solar neutrino mixing
• S_4 Flavored CP Symmetry for Neutrinos
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• The 3-3-1 model with S_4 flavor symmetry
• An A4 flavor model for quarks and leptons in warped geometry
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• Neutrino masses and mixing from S4 flavor twisting
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Higgs $\to$ $\mu \tau$ as an indication for $S_4$ flavor symmetry
• A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)
• Radiative neutrino mass in 331 scheme
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• Neutrino masses in a 331 model with right-handed neutrinos without doubly charged Higgs
• Relating quarks and leptons with the T7 flavour group
• Small neutrino masses and gauge coupling unification
• T(13) Flavor Symmetry and Decaying Dark Matter
• Search for Majoron-emitting modes of double-beta decay of ${}^{136}$Xe with EXO-200
• Lepton flavor violating decays of Standard-Model-like Higgs in 3-3-1 model with neutral lepton
• Lepton masses and mixing in $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ models with a $S_3$ flavor symmetry
• Different kind of textures of Yukawa coupling matrices in the two Higgs doublet model type III
• Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry
• 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
• Higgs Phenomenology in the Minimal $SU(3{)}_L\times U(1{)}_X$ Model
• A new and trivial CP symmetry for extended $A_4$ flavor
• Unified Flavor Symmetry from warped dimensions
• Quark mass hierarchy in 3-3-1 models
• Neutrino mass hierarchy and the origin of leptonic flavor mixing from the right-handed sector
• Simple mass matrices of neutrinos and quarks consistent with observed mixings and masses

Cited by in corpus (27)

• R-parity as a residual gauge symmetry : probing a theory of cosmological dark matter
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• CP Violation from Flavor Symmetry in a Lepton Quarticity Dark Matter Model
• Neutrino oscillations and the seesaw origin of neutrino mass
• Predictive Pati-Salam theory of fermion masses and mixing
• The first $\Delta (27)$ flavor 3-3-1 model with low scale seesaw mechanism
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism
• A 3-3-1 model with low scale seesaw mechanisms
• Neutrino predictions from a left-right symmetric flavored extension of the standard model
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• Littlest Inverse Seesaw Model
• Delta(54) flavor phenomenology and strings
• $\Delta (27)$ framework for cobimaximal neutrino mixing models
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Leptogenesis in a $\Delta (27)\times SO(10)$ SUSY GUT
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Muon anomalies and the $SU(5)$ Yukawa relations
• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• GAP listing of the finite subgroups of U(3) of order smaller than 2000
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• $\mathbf{SU}(3{)}_{\mathbf{C}}\otimes \mathbf{SU}(3{)}_{\mathbf{L}}\otimes \mathbf{U}(1{)}_{\mathbf{X}}$ models in view of the $750$ GeV diphoton signal
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry