Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry

Abstract

We construct a supersymmetric model based on $T^{\prime }\otimes Z_3\otimes Z_9$ flavor symmetry. At the leading order, the charged lepton mass matrix is not diagonal, $T^{\prime }$ is broken completely, and the hierarchy in the charged lepton masses is generated naturally. Nearly tri-bimaximal mixing is predicted, subleading effects induce corrections of order ${\lambda }^2$, where $\lambda$ is the Cabibbo angle. Both the up quark and down quark mass matrices textures of the well-known U(2) flavor theory are produced at the leading order, realistic hierarchies in quark masses and CKM matrix elements are obtained. The vacuum alignment and subleading corrections are discussed in detail.

arXiv comment31 pages

References in corpus (49)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Status of global fits to neutrino oscillations
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• Updated Values of Running Quark and Lepton Masses
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Some Simple Mixing and Mass Matrices for Neutrinos
• Predictions From A U(2) Flavour Symmetry In Supersymmetric Theories
• Updated Estimate of Running Quark Masses
• A_4 Symmetry and Neutrinos with Very Different Masses
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Yukawa Textures and Anomalies
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• A4 family symmetry and quark-lepton unification
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Yukawa matrices from a spontaneously broken abelian symmetry
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Consequences of a U(2) Flavour Symmetry
• A model for fermion masses and lepton mixing in SO(10) x A4
• Unification and Fermion Mass Structure
• Gauge Unification, Yukawa Hierarchy and the $\mu$ Problem
• Implications of neutrino data circa 2005
• Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry
• Flavor Unification and Discrete Nonabelian Symmetries
• Models of Fermion Mass Matrices Based on a Flavor- and Generation-Dependent U(1) Gauge Symmetry
• Soft scalar masses in supergravity with horizontal U(1)_X gauge symmetry
• On the generality of certain predictions for quark mixing
• Maximal Neutrino Mixing from a Minimal Flavor Symmetry
• Precision test of a Fermion mass texture
• Quark Masses and Mixing with A4 Family Symmetry
• A SUSY A4 model for fermion masses and mixings
• Flavor Symmetry for Quarks and Leptons
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• The A4 flavor symmetry and neutrino phenomenology
• U(2) Flavor Physics without U(2) Symmetry
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Global fits to neutrino oscillation data
• A_4 model for the quark mass matrices
• U(2)-like Flavor Symmetries and Approximate Bimaximal Neutrino Mixing
• Horizontal Symmetry for Quark and Squark Masses in Supersymmetric SU(5)
• Phenomenology of the little flavon model

Cited by in corpus (65)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Neutrino Mass and Mixing: from Theory to Experiment
• The Unique Horizontal Symmetry of Leptons
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Fermion Masses and Mixings in a S4 Based Model
• Neutrino Masses and Mixing from Double Covering of Finite Modular Groups
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Phenomenological Consequences of See-Saw in S4 Based Models
• S4 as a natural flavor symmetry for lepton mixing
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Neutrino masses and mixing: a flavour symmetry roadmap
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Constraining neutrinoless double beta decay
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Lepton Flavor Model from Delta(54) Symmetry
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• Modular symmetry at level 6 and a new route towards finite modular groups
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
• Predictions from warped flavordynamics based on the $T^{\prime }$ family group
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Delta(54) Flavor Model for Leptons and Sleptons
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Toward minimal renormalizable SUSY SU(5) Grand Unified Model with tribimaximal mixing from A4 Flavor symmetry
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Lepton masses and mixings in a $T^{\prime }$ flavoured 3-3-1 model with type I and II seesaw mechanisms
• Predictivity of Neutrino Mass Sum Rules
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Theory of the Neutrino Mass
• Quark mixing in the discrete dark matter model
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• Discrete Anomalies of Binary Groups
• Rare muon and tau decays in A4 Models
• Revisiting Leptogenesis in a SUSY SU(5) x T' Model of Flavour
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Flavor from the double tetrahedral group without supersymmetry: flavorful axions and neutrinos
• Theoretical Models of Neutrino Mixing: Recent Developments
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• Flavor from the double tetrahedral group without supersymmetry
• Strong coupling, discrete symmetry and flavour
• Leptons and Quarks from a Discrete Flavor Symmetry
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry
• Sum Rules for Leptons
• Dark Matter interactions in an $S_4\times Z_5$ flavor symmetry framework
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• Neutrino Oscillations in the Three Flavor Paradigm