The Cabibbo Angle in a Supersymmetric D14 Model

Abstract

We construct a supersymmetric model with the flavor symmetry D14 in which the CKM matrix element |V_{ud}| can take the value |V_{ud}| =cos (pi/14) = 0.97493 implying that the Cabibbo angle theta_C is sin (theta_C) = |V_{us}| = sin (pi/14) = 0.2225. These values are very close to those observed in experiments. The value of |V_{ud}| (theta_C) is based on the fact that different Z2 subgroups of D14 are conserved in the up and down quark sector. In order to achieve this, D14 is accompanied by a Z3 symmetry. The spontaneous breaking of D14 is induced by flavons, which are scalar gauge singlets. The quark mass hierarchy is partly due to the flavor group D14 and partly due to a Froggatt-Nielsen symmetry U(1)_{FN} under which only the right-handed quarks transform. The model is completely natural in the sense that the hierarchies among the quark masses and mixing angles are generated with the help of symmetries. The issue of the vacuum alignment of the flavons is solved up to a small number of degeneracies, leaving four different possible values for |V_{ud}|. Out of these, only one of them leads to a phenomenological viable model. A study of the Z2 subgroup breaking terms shows that the results achieved in the symmetry limit are only slightly perturbed. At the same time they allow |V_{ud}| (theta_C) to be well inside the small experimental error bars.

1+24 pages

References in corpus (25)

• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Stringy origin of non-Abelian discrete flavor symmetries
• Symmetry of Lepton Mixing
• Fermion Masses and Mixings in a S4 Based Model
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• (Non-)Abelian discrete anomalies
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• S_3 Symmetry and Neutrino Masses and Mixings
• A Supersymmetric D4 Model for mu-tau Symmetry
• Grand unification of $\mu -\tau$ Symmetry
• Soft supersymmetry breaking terms from D4 x Z2 lepton flavor symmetry
• The discrete flavor symmetry D5
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Anomalies of Discrete Symmetries and Gauge Coupling Unification
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14
• D6 Family Symmetry and Cold Dark Matter at LHC
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Anomaly Conditions for Non-Abelian Finite Family Symmetries
• Neutrino masses and mixings with an S3 family permutation symmetry
• Unified model of fermion masses with Wilson line flavor symmetry breaking
• Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
• Discrete Anomalies of Binary Groups
• Deconstruction and Bilarge Neutrino Mixing

Cited by in corpus (27)

• Finite Modular Groups and Lepton Mixing
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• keV Neutrino Model Building
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Golden Ratio Prediction for Solar Neutrino Mixing
• Finite flavour groups of fermions
• Quark and Leptonic Mixing Patterns from the Breakdown of a Common Discrete Flavor Symmetry
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• mu-tau Symmetry and Charged Lepton Mass Hierarchy in a Supersymmetric D4 Model
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Discrete symmetries and models of flavor mixing
• D14 - A Common Origin of the Cabibbo Angle and the Lepton Mixing Angle theta^l_13
• Super Flavorsymmetry with Multiple Higgs Doublets
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Renormalisation group improved leptogenesis in family symmetry models
• Quark mixing from Delta(6N^2) family symmetry
• A model of quarks with Delta (6N^2) family symmetry
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Direct and Indirect Detection of Dark Matter in D6 Flavor Symmetric Model
• A Built-in Horizontal Symmetry of $SO(10)$
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• GIMPs from Extra Dimensions
• Neutrino Mass and Flavour Models
• Classical and Quantum Discrete Dynamical Systems
• A light Scalar Dark Matter for CoGeNT and DAMA in D_6 Flavor Symmetric Model
• Mathematical Modeling of Finite Quantum Systems
• Computations in Finite Groups and Quantum Physics