Variations on the Supersymmetric Q6 Model of Flavor

Abstract

We observe that a recently proposed supersymmetric model with Q6 flavor symmetry admits a new CP violating ground state. A new sum rule for the quark mixing parameters emerges, which is found to be consistent with data. Simple extensions of the model to the neutrino sector suggest an inverted hierarchical mass spectrum with nearly maximal CP violation (|delta_{MNS}| simeq pi/2). Besides reducing the number of parameters in the fermion sector, these models also provide solutions to the SUSY flavor problem and the SUSY CP problem. We construct a renormalizable scalar potential that leads to the spontaneous breaking of CP symmetry and the family symmetry.

22 pages, 7 figures

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• Delta(54) flavor phenomenology and strings
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Effective Theories of Flavor and the Non-Universal MSSM
• Anomaly-free ALP from non-Abelian flavor symmetry
• Fermion masses and mixings and $g-2$ muon anomaly in a $Q_6$ flavored 2HDM