Solving the SUSY Flavour and CP Problems with Non-Abelian Family Symmetry and Supergravity

Abstract

Can a theory of flavour capable of describing the spectrum of fermion (including neutrino) masses and mixings also contain within it the seeds for a solution of the SUSY flavour and CP problems? We argue that supergravity together with a non-Abelian family symmetry can completely resolve the SUSY flavour and CP problems in a broad class of theories in which family symmetry and CP is spontaneously broken in the flavon sector. We show that a simple superpotential structure can suppresses the F-terms of the flavons and GUT scale Higgs fields and that, if this mechanism is implemented, the resulting flavour and CP violation is suppressed and comfortably within the experimental limits. For illustration, we study a specific model based on SU(3) family symmetry, but similar models based on non-Abelian (continuous or discrete) family symmetry will lead to similar results.

arXiv comment14 pages

References in corpus (21)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• The Soft Supersymmetry-Breaking Lagrangian: Theory and Applications
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• Atmospheric and Solar Neutrinos with a Heavy Singlet
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• Unification and Fermion Mass Structure
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• String-derived D4 flavor symmetry and phenomenological implications
• Symmetries and fermion masses
• Yukawa structure, flavour and CP violation in Supergravity
• Exact $S_3$ symmetry solving the supersymmetric flavor problem
• Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• SO(10) SUSY GUT for Fermion Masses : Lepton Flavor and CP Violation
• Non-Abelian Horizontal Symmetry and Anomalous U(1) Symmetry for the Supersymmetric Flavor Problem
• Electric dipole moments from flavoured CP violation in SUSY
• Family symmetries and the SUSY flavour problem

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• Discrete Flavour Groups, θ_13 and Lepton Flavour Violation
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
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• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Vacuum Alignment in SUSY A4 Models
• Compactified String Theories -- Generic Predictions for Particle Physics
• Solving the Flavour Problem in Supersymmetric Standard Models with Three Higgs Families
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• Beyond MFV in family symmetry theories of fermion masses
• Implications of large CP Violation in B mixing for Supersymmetric Standard Models
• Naturally Flavorful Supersymmetry at the LHC
• Phenomenological Implications of an SU(5) x S4 x U(1) SUSY GUT of Flavour
• Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT
• From Flavour to SUSY Flavour Models
• Controlled flavor violation in the MSSM from a unified $\Delta (27)$ flavor symmetry
• Light third-generation squarks from flavour gauge messengers
• Neutrino Mass and Flavour Models
• Natural Supersymmetry and Dynamical Flavour with Metastable Vacua
• Suppression of Lepton Flavour Violation from Quantum Corrections above $M_{GUT}$
• Flavored Co-annihilations
• Flavour issues for string-motivated heavy scalar spectra with a low gluino mass: the G2-MSSM case
• Bridging flavour violation and leptogenesis in SU(3) family models
• Recent Progress in Flavor Model Building
• Supersymmetric Musings on the Predictivity of Family Symmetries
• Diluting SUSY flavour problem on the Landscape
• Exotic particles below the TeV from low scale flavour theories