Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay

Abstract

Family symmetry could explain large mixing of the atmospheric neutrinos. The same symmetry could explain why the flavor changing current processes in supersymmetric standard models can be so suppressed. It also may be able to explain why the proton is so stable. We investigate these questions in a supersymmetric, renormalizable extension of the standard model, which possess a family symmetry based on a binary dihedral group Q_6. We find that the amplitude for μ\to e+γenjoys a suppression factor proportional to |(V_{MNS})_{e3}| ~ m_e/(\sqrt{2}m_μ) ~ 3.4\times 10^{-3}, and that B(p \to K^0 μ^+)/B(p \to K^0 e^+) ~ |(V_{MNS})_{e3}|^2 ~ 10^{-5}, where V_{MNS} is the neutrino mixing matrix.

arXiv comment35 pages, 26 figures

References in corpus (92)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Out Of This World Supersymmetry Breaking
• Theories with Gauge-Mediated Supersymmetry Breaking
• Gaugino Mass without Singlets
• A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
• Dynamical Supersymmetry Breaking Simplified
• Dynamical Supersymmetry Breaking at Low Energies
• Status of global fits to neutrino oscillations
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Evidence for Neutrinoless Double Beta Decay
• Supersymmetry Breaking through Transparent Extra Dimensions
• The Soft Supersymmetry-Breaking Lagrangian: Theory and Applications
• Nucleon Decay in the Minimal Supersymmetric $SU(5)$ Grand Unification
• Should Squarks Be Degenerate?
• Not Even Decoupling Can Save Minimal Supersymmetric SU(5)
• Gaugino Mediated Supersymmetry Breaking
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• $b\to s\gamma$ Decay and Supersymmetry
• EDM Constraints in Supersymmetric Theories
• A discrete symmetry group for maximal atmospheric neutrino mixing
• Models of Neutrino Masses and Mixings
• Flavor Symmetries and The Problem of Squark Degeneracy
• Effect of an RRRR dimension 5 operator on the proton decay in the minimal SU(5) SUGRA GUT model
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry
• The Flavor Symmetry
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• The Supersymmetric Flavor Problem
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• Proton Decay in Minimal Supersymmetric SU(5)
• Prospects of accelerator and reactor neutrino oscillation experiments for the coming ten years
• Reactor Measurement of ${\theta }_{13}$ and Its Complementarity to Long-Baseline Experiments
• Constructing 5d orbifold grand unified theories from heterotic strings
• Plato's Fire and the Neutrino Mass Matrix
• A Geometry of the Generations
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Flavor Unification and Discrete Nonabelian Symmetries
• Suppressing Flavor Anarchy
• Supersymmetry Breaking and Composite Extra Dimensions
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• Quark Mass Matrices in the A_4 Model
• S3 x Z2 model for neutrino mass matrices
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• Anomaly Mediated Supersymmetry Breaking in Four Dimensions, Naturally
• (S)quark Masses and Non-Abelian Horizontal Symmetries
• Soft Supersymmetry Breaking in Deformed Moduli Spaces, Conformal Theories, and N = 2 Yang-Mills Theory
• Hadronic EDMs induced by the strangeness and constraints on supersymmetric CP phases
• Quaternion Family Symmetry of Quarks and Leptons
• Symmetries and fermion masses
• Higgs Potential in Minimal S_3 Invariant Extension of the Standard Model
• Natural R-Parity, μ-term, and Fermion Mass Hierarchy From Discrete Gauge Symmetries
• Stabilizing the Axion by Discrete Gauge Symmetries
• Exact $S_3$ symmetry solving the supersymmetric flavor problem
• $(S_3{)}^3$ flavor symmetry and $p\to K^0{e}^{+}$
• Minimal Mass Matrices for Dirac Neutrinos
• Implications of Horizontal Symmetries on Baryon Number Violation in Supersymmetric Models
• Family Symmetries and Proton Decay
• Probing the Planck Scale with Proton Decay
• Infrared Behaviour of Softly Broken SQCD and Its Dual
• Sfermion masses in Nelson-Strassler type of models: SUSY standard models coupled with SCFTs
• The Quasi-Fixed MSSM
• On fixed points and fermion mass structure from large extra dimensions
• Infra-red fixed point structure of soft supersymmetry breaking mass terms
• Majorana Phase in Minimal S_3 Invariant Extension of the Standard Model
• Classification of Conformality Models Based on Nonabelian Orbifolds
• Democratic (S)fermions and Lepton Flavor Violation
• Fermion Mass Hierarchies and Small Mixing Angles from Extra Dimensions
• Infrared Quasi Fixed Points and Mass Predictions in the MSSM
• Finite Theories and the SUSY Flavor Problem
• New Constraint on Squark Flavor Mixing from 199Hg Electric Dipole Moment
• Sfermion Mass Degeneracy, Superconformal Dynamics and Supersymmetric Grand Unified Theories
• Discrete Symmetry and CP Phase of the Quark Mixing Matrix
• Infra--red soft universality
• Infrared Quasi Fixed Points and Mass Predictions in the MSSM II: Large tan(beta) Scenario
• Yukawa Hierarchy Transfer from Superconformal Sector and Degenerate Sfermion Masses
• Two predictive supersymmetric S3 x Z2 models for the quark mass matrices
• Getting at the Quark Mass Matrices
• Infra-red stability of Yukawa and soft-breaking fixed points
• U(1) Flavor Symmetry and Proton Decay in Supersymmetric Standard Model
• Horizontal symmetry in Higgs sector of GUT with U(1)_A symmetry
• Double Suppression of FCNCs in Supersymmetric Models
• Flavor mixing in the gluino coupling and the nucleon decay
• Suppressing FCNC and CP-Violating Phases by Extra Dimensions
• Towards 5D Grand Unification without SUSY Flavor Problem
• Yukawa Hierarchy Transfer Based on Superconformal Dynamics and Geometrical Realization in String Models
• Soft Masses in Strong Unification
• Infrared alignment of SUSY flavor structures
• Softening the Supersymmetric Flavor Problem in Orbifold GUTs
• Softening of SUSY flavor problem from asymptotically free bulk interactions
• Flavor and CP Violation Induced by Atmospheric Neutrino Mixing

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• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Q_6 flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinos
• Lepton Flavor Model from Delta(54) Symmetry
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• D6 Family Symmetry and Cold Dark Matter at LHC
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• Solving the SUSY Flavour and CP Problems with Non-Abelian Family Symmetry and Supergravity
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
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• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
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• Super Flavorsymmetry with Multiple Higgs Doublets
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
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• LHC Higgs Production and Decay in the T' Model
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
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• Discrete Anomalies of Binary Groups
• Collider signatures of vector-like fermions from a flavor symmetric model
• Bilinear R-parity violation with flavor symmetry
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Family symmetries and the SUSY flavour problem
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Family symmetries and the origin of fermion masses and mixings
• Flavor Physics in SO(10) GUTs with Suppressed Proton decay Due to Gauged Discrete Symmetry
• Testing Flavor Symmetries by B-Factory
• Fermion masses and mixings and $g-2$ muon anomaly in a $Q_6$ flavored 2HDM
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• R-Parity Violation and Family Symmetry
• Scalar-induced Neutrinoless Double Beta Decay in $SU(5)$