Discrete Flavour Groups, θ_13 and Lepton Flavour Violation

Abstract

Discrete flavour groups have been studied in connection with special patterns of neutrino mixing suggested by the data, such as Tri-Bimaximal mixing (groups A4, S4...) or Bi-Maximal mixing (group S4...) etc. We review the predictions for sin(θ_13) in a number of these models and confront them with the experimental measurements. We compare the performances of the different classes of models in this respect. We then consider, in a supersymmetric framework, the important implications of these flavour symmetries on lepton flavour violating processes, like μ-> e gamma and similar processes. We discuss how the existing limits constrain these models, once their parameters are adjusted so as to optimize the agreement with the measured values of the mixing angles. In the simplified CMSSM context, adopted here just for indicative purposes, the small tan(beta) range and heavy SUSY mass scales are favoured by lepton flavour violating processes, which makes it even more difficult to reproduce the reported muon g-2 discrepancy.

45 pages, 16 figures, 3 tables; V3 submitted to add an acknowledgment to a Network

References in corpus (44)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Phenomenology with Massive Neutrinos
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Global status of neutrino oscillation parameters after Neutrino-2012
• Improved predictions for g-2 of the muon and α_{\rm QED}(M_Z^2)
• The Muon Magnetic Moment and Supersymmetry
• Comment on Phys. Rev. Lett. 108, 191802 (2012): "Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment"
• The golden ratio prediction for the solar neutrino mixing
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• The muon g-2 and the bounds on the Higgs boson mass
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• Soft SUSY Breaking Grand Unification: Leptons vs Quarks on the Flavor Playground
• Various definitions of Minimal Flavour Violation for Leptons
• Flavour physics at large tan(beta) with a Bino-like LSP
• Quark-Lepton Complementarity in Unified Theories
• Golden Ratio Prediction for Solar Neutrino Mixing
• Minimal flavour violation extensions of the seesaw
• Quark lepton complementarity and renormalization group effects
• Ultraviolet Completion of Flavour Models
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Tribimaximal Mixing From Small Groups
• Grand Unification and the Principle of Minimal Flavor Violation
• Neutrino Mass and New Physics
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Soft supersymmetry breaking terms from D4 x Z2 lepton flavor symmetry
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Quark-lepton complementarity with quasidegenerate Majorana neutrinos
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• On the finite subgroups of U(3) of order smaller than 512
• Quark-lepton complementarity, neutrino and standard model data predict $({\theta }_{13}^{PMNS}=9_{-2}^{+1}{)}^{\circ }$
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Solving the SUSY Flavour and CP Problems with Non-Abelian Family Symmetry and Supergravity
• Soft supersymmetry breaking terms from A4 lepton flavor symmetry
• The muon g-2 discrepancy: errors or new physics?
• Lower Limits on $\mu \to e\gamma$ from new Measurements on $U_{e3}$
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
• Neutrino Physics - Models for Neutrino Masses and Lepton Mixing
• Lepton-flavour violation in the light of leptogenesis and muon g-2
• Quark-Lepton Complementarity; a Review

Cited by in corpus (88)

• Neutrino Mass and Mixing with Discrete Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• S_4 Flavored CP Symmetry for Neutrinos
• Pieces of the Flavour Puzzle
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Nonzero |U_e3| from Charged Lepton Corrections and the Atmospheric Neutrino Mixing Angle
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• Finite Symmetry of Leptonic Mass Matrices
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Warped flavor symmetry predictions for neutrino physics
• The Minimal Flavour Violating Axion
• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Phenomenological Study of Residual Z^s_2 and Zbar^s_2 Symmetries
• Simplest Neutrino Mixing from S4 Symmetry
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• Sub-dominant Type II Seesaw as an Origin of Non-zero ${\theta }_{13}$ in SO(10) model with TeV scale $Z^{\prime }$ Gauge Boson
• Deviations from Tri-Bimaximal Neutrino Mixing Using Type II Seesaw
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• A 3-3-1 model with low scale seesaw mechanisms
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Theta(13) and charged Lepton Flavor Violation in "warped" A(4) models
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• Littlest Inverse Seesaw Model
• Corrections for tribimaximal, bimaximal and democratic neutrino mixing matrices
• Discrete symmetries, roots of unity, and lepton mixing
• On the Correlations between Flavour Observables in Minimal U(2)^3 Models
• Charged lepton contributions to bimaximal and tri-bimaximal mixings for generating $\sin {\theta }_{13}\ne 0$ and ${\tan }^2{\theta }_{23}<1$
• Neutrino Mixing and Discrete Symmetries
• Perturbations to $\mu -\tau$ Symmetry, Leptogenesis and Lepton Flavour Violation with Type II Seesaw
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Common Origin of Non-zero ${\theta }_{13}$ and Baryon Asymmetry of the Universe in a TeV scale Seesaw Model with $A_4$ Flavour Symmetry
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Neutrino Masses and Leptogenesis in Type I+II Seesaw Models
• Status of Neutrino Mass and Mixing
• Status of Supersymmetric Seesaw in SO(10) models
• Reactor mixing angle from hybrid neutrino masses
• Constraining Type I Seesaw with $A_4$ Flavor Symmetry From Neutrino Data and Leptogenesis
• Neutrino textures and charged lepton flavour violation in light of theta13, MEG and LHC data
• Predicting Leptonic CP phase by considering deviations in charged lepton and neutrino sectors
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Neutrinoless double beta decay and lepton flavour violation in broken $\mu -\tau$ symmetric neutrino mass models
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino
• Type II Seesaw Origin of Non-zero ${\theta }_{13},{\delta }_{CP}$ and Leptogenesis
• A New bound on CP Violation in the $\tau$ Lepton Yukawa Coupling and electroweak baryogenesis
• Low scale type I seesaw model for lepton masses and mixings
• Stable fermion mass matrices and the charged lepton contribution to neutrino mixing
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• Neutrino 2012: Outlook - theory
• Neutrino masses and mixings with non-zero ${\theta }_{13}$ in Type I+II Seesaw Models
• Implications of Fermionic Dark Matter on recent neutrino oscillation data
• Common Origin of Non-zero ${\theta }_{13}$ and Dark Matter in an $S_4$ Flavour Symmetric Model with Inverse Seesaw
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Determination of the mixing between active neutrinos and sterile neutrino through the quark-lepton complementarity and self-complementarity
• Testable constraint on near-tribimaximal neutrino mixing
• Connecting Leptonic CP Violation, Lightest Neutrino Mass and Baryon Asymmetry Through Type II Seesaw
• Checking Flavour Models at Neutrino Facilities
• Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing
• Data Driven Flavour Model
• Neutrino Mass Matrix Textures: A Data-driven Approach
• An Overview of Neutrino Mixing
• Phenomenology of extended multiHiggs doublet models with $S_4$ family symmetry
• Type II seesaw supersymmetric neutrino model for ${\theta }_{13}\ne 0$
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Hybrid seesaw neutrino model in SUSY $SU(5)\times {\mathbb{A}}_4$
• A Possible Hermitian Neutrino Mixing Ansatz
• Nonzero ${\theta }_{13}$ in $SO(3)\to A_4$ lepton models
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
• Planck Scale Origin of Non-zero ${\theta }_{13}$ and Super-WIMP Dark Matter
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• Neutrino and Charged Lepton Flavour Today
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• A Light Dynamical Scalar Boson
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• An underlying symmetry determines all elements of CKM and PMNS up to a universal constant?
• Implications of equalities among the elements of CKM and PMNS matrices
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw
• Charged lepton flavour violation in supersymmetric and holographic composite Higgs models with flavour symmetries
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture