The use of symmetry has been fundamental in the development of the Standard Model, and we continue to be guided by symmetric considerations in building BSM theories of supersymmetry breaking and flavor. We analyze a minimal flavored gauge mediation model of supersymmetry breaking in which the electroweak Higgs and messenger doublets mix as multiplets of a discrete non-Abelian symmetry given by the group S3. We show that in a specific limit, sizable stop mixing and flavor diagonal soft supersymmetry breaking parameters are achieved. In most of the parameter space, the masses of the colored superpartners are at most in the 5–6 TeV range. We show that couplings at the renormalizable level do not lead to viable quark mixing parameters, requiring the inclusion of higher-dimensional operators. As a concrete exploration of this idea, we show that the Cabibbo angle can be generated within this framework via such couplings and explore the scenario’s phenomenological implications. In a separate direction, we also explore the effects of correlations among observable parameters of neutrino mixing on predictions for the leptonic Dirac CP-violating phase. Focusing on a standard class of theoretical models of neutrino mixing governed by discrete non-Abelian symmetries corrected by a single charged lepton rotation, we show that we can guarantee a physically meaningful prediction for the most likely value of the leptonic Dirac CP-violating phase.
Meeting ID: 959 7515 6310