Bilarge Neutrino Mixing and Abelian Flavor Symmetry

Abstract

We explore two bilarge neutrino mixing anz$\ddot{a}$tze within the context of Abelian flavor symmetry theories: ($\mathtt{B}{\mathtt{L}}_1$) $\sin {\theta }_{12}\sim \lambda$, $\sin {\theta }_{13}\sim \lambda$, $\sin {\theta }_{23}\sim \lambda$, and ($\mathtt{B}{\mathtt{L}}_2$) $\sin {\theta }_{12}\sim \lambda$, $\sin {\theta }_{13}\sim \lambda$, $\sin {\theta }_{23}\sim 1-\lambda$. The first pattern is proposed by two of us and is favored if the atmospheric mixing angle ${\theta }_{23}$ lies in the first octant, while the second one is preferred for the second octant of ${\theta }_{23}$. In order to reproduce the second texture, we find that the flavor symmetry should be $U(1)\times Z_m$, while for the first pattern the flavor symmetry should be extended to $U(1)\times Z_m\times Z_n$ with $m$ and $n$ of different parity. Explicit models for both mixing patterns are constructed based on the flavor symmetries $U(1)\times Z_3\times Z_4$ and $U(1)\times Z_2$. The models are extended to the quark sector within the framework of SU(5) grand unified theory in order to give a successful description of quark and lepton masses and mixing simultaneously. Phenomenological implications are discussed.

arXiv comment23 pages, 4 figures, revised version which matches with the published one

References in corpus (134)

• Evidence for oscillation of atmospheric neutrinos
• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Status of global fits to neutrino oscillations
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Global status of neutrino oscillation parameters after Neutrino-2012
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Global fit to three neutrino mixing: critical look at present precision
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• Updated Values of Running Quark and Lepton Masses
• CUORE: A Cryogenic Underground Observatory for Rare Events
• Some Simple Mixing and Mass Matrices for Neutrinos
• Finite Modular Groups and Lepton Mixing
• Updated Estimate of Running Quark Masses
• Lepton mixing and discrete symmetries
• Neutrino Mixing and Quark-Lepton Complementarity
• Yukawa Textures and Anomalies
• Predictions from an Anomalous U(1) Model of Yukawa Hierarchies
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Yukawa matrices from a spontaneously broken abelian symmetry
• Yukawa textures with an anomalous horizontal abelian symmetry
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• Discrete Flavour Symmetries in Light of T2K
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Unification and Fermion Mass Structure
• Breaking Tri-bimaximal Mixing and Large ${\theta }_{13}$
• Family Symmetry and Neutrino Mixing
• Trimaximal neutrino mixing from vacuum alignment in A4 and S4 models
• Minimal Modification to Tri-bimaximal Mixing
• Models of Fermion Mass Matrices Based on a Flavor- and Generation-Dependent U(1) Gauge Symmetry
• Nonzero theta(13) for neutrino mixing in the context of A(4) symmetry
• On the generality of certain predictions for quark mixing
• Discrete Flavour Groups, θ_13 and Lepton Flavour Violation
• Abelian Flavour Symmetries in Supersymmetric Models
• From Minimal to Realistic Supersymmetric SU(5) Grand Unification
• Experimental Requirements to Determine the Neutrino Mass Hierarchy Using Reactor Neutrinos
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• S_4 Flavored CP Symmetry for Neutrinos
• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• Model for T2K indication with maximal atmospheric angle and tri-maximal solar angle
• A Grand Delta(96) x SU(5) Flavour Model
• Tri-bimaximal-Cabibbo Mixing
• Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4
• Quasi-degenerate neutrinos from an abelian family symmetry
• A4 models of tri-bimaximal-reactor mixing
• Neutrino Masses and Lepton-Flavor Violation in Supersymmetric Models with lopsided Froggatt-Nielsen charges
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• Maximal CP violation in lepton mixing from a model with Delta(27) flavour symmetry
• Large neutrino mixing angle θ_{13}^{MNS} and quark-lepton mass ratios in unified flavour models
• Lepton Mass Matrix Models
• Supersymmetric Froggatt-Nielsen Models with Baryon- and Lepton-Number Violation
• Anomalous Flavor U(1)_X for Everything
• Mass Hierarchy Resolution in Reactor Anti-neutrino Experiments: Parameter Degeneracies and Detector Energy Response
• Neutrino masses from U(1) symmetries and the Super-Kamiokande data
• Horizontal, Anomalous U(1) Symmetry for the More Minimal Supersymmetric Standard Model
• Scotogenic $A_4$ Neutrino Model for Nonzero ${\theta }_{13}$ and Large ${\delta }_{CP}$
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Large Mixing and Large Hierarchy Between Neutrinos with Abelian Flavor Symmetries
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Non-zero ${\theta }_{13}$ and CP violation in a model with $A_4$ flavor symmetry
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Near Maximal Atmospheric Mixing in Neutrino Mass Matrices with Two Vanishing Minors
• Simple two Parameter Description of Lepton Mixing
• Repressing Anarchy in Neutrino Mass Textures
• Supersymmetry Hierarchy Problems and Anomalous Horizontal U(1) Symmetry
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Update on Fermion Mass Models with an Anomalous Horizontal U(1) Symmetry
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• The T2K Indication of Relatively Large theta_13 and a Natural Perturbation to the Democratic Neutrino Mixing Pattern
• Discrete family symmetry, Higgs mediators and theta_{13}
• Re-evaluation of neutrino mixing pattern according to latest T2K result
• Systematic search for successful lepton mixing patterns with nonzero theta_13
• Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large theta_13
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Predictions via large theta13 from cascades
• SUSY S4 x SU(5) revisited
• An extension of tribimaximal lepton mixing
• Discrete Flavor Symmetries and Mass Matrix Textures
• Bi-large neutrino mixing and the Cabibbo angle
• Neutrino mixing matrices with relatively large ${\theta }_{13}$ and with texture one-zero
• Nonzero Theta13 for Neutrino Mixing in a Supersymmetric B-L Gauge Model with T_7 Lepton Flavor Symmetry
• Non-Abelian family symmetries in Pati-Salam unification
• Relations among neutrino observables in the light of a large theta_13 angle
• S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on θ13
• Predicting theta_13 and the Neutrino Mass Scale from Quark Lepton Mass Hierarchies
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• The Majorana Neutrinoless Double-Beta Decay Experiment
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Neutrino Masses and Mixing with Non-Anomalous Abelian Flavor Symmetries
• Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices
• A new relation between quark and lepton mixing matrices
• Neutrino masses generation in a Z_4 model
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• ${\theta }_{13}$ in Neutrino Mass Matrix with the Minimal Texture
• D14 - A Common Origin of the Cabibbo Angle and the Lepton Mixing Angle theta^l_13
• Large theta_13 from a model with broken L_e-L_mu-L_tau symmetry
• An A4 x Z4 model for neutrino mixing
• Lepton flavor models with discrete prediction of theta_{13}
• Tri-Permuting Mixing Matrix and predictions for theta_13
• Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5)
• Large θ_13 from finite quantum corrections in quasi-degenerate neutrino mass spectrum
• On self-complementarity relations of neutrino mixing
• Relations between quark and lepton mixing angles and matrices
• Implications of Anomalous U(1) Symmetry in Unified Models: the Flipped SU(5) x U(1) Paradigm
• The Majorana Project
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Neutrino textures and charged lepton flavour violation in light of theta13, MEG and LHC data
• Type II Seesaw Dominance in Non-supersymmetric and Split Susy SO(10) and Proton Life Time
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Quark-Lepton Mass Matrices with $U(1)\times Z_2\times Z_2^{\prime }$ Flavor Symmetry
• Grand Unification of Flavor Mixings
• Quark and Lepton Masses from a {\boldmath $U(1)\times Z_2$} Flavor Symmetry
• Fermion mass hierarchy and non-hierarchical mass ratios in SU(5) x U(1)_F
• Geometrical Model for Non-Zero theta_13
• The neutrino mixing matrix could (almost) be diagonal with entries {\pm}1
• Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment
• $\sin {\theta }_{13}$ and neutrino mass matrix with an approximate flavor symmetry
• A Comprehensive Mechanism Reproducing the Mass and Mixing Parameters of Quarks and Leptons
• Leptonic $CP$ Violation and Leptogenesis in Minimal Supersymmetric SU(4)${}_c\times$SU(2)${}_L\times$SU(2)${}_R$

Cited by in corpus (16)

• Neutrino Mass and Mixing with Discrete Symmetry
• Neutrino Mass and Mixing: from Theory to Experiment
• Pieces of the Flavour Puzzle
• Dirac neutrinos from flavor symmetry
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• The symmetry approach to quark and lepton masses and mixing
• A Bayesian comparison of U(1) lepton flavour models
• Zooming in on neutrino oscillations with DUNE
• Delta(54) flavor phenomenology and strings
• Dark matter production through a non-thermal flavon portal
• Predicting neutrino oscillations with "bi-large" lepton mixing matrices
• Status and prospects of `bi-large' leptonic mixing
• Modulated bimaximal neutrino mixing
• Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation
• Status and implications of neutrino masses: a brief panorama
• Aspects of Leptonic Flavour Mixing