Abstract
We explore the generation of fermion masses and quark mixing angles within flavored gauge mediation models of supersymmetry breaking in which the Higgs and messenger doublets are connected by a discrete non-Abelian symmetry. In this framework, the Higgs-messenger symmetry, which we take for concreteness to be the discrete group $\mathcal{S}_3$, also plays the role of a (partial) family symmetry. We investigate mechanisms for generating mass hierarchies for the lighter quark generations and generating the Cabibbo angle within this class of models. While perturbations of the couplings at the renormalizable level do not lead to phenomenologically viable quark mixing parameters, we show that the Cabibbo angle can be generated via couplings at the nonrenormalizable level and explore the phenomenological implications of this scenario.
Highlights
Gauge-mediated supersymmetry breaking [1,2,3,4] provides an elegant framework for the generation of the soft supersymmetry breaking sector of the minimal supersymmetric standard model (MSSM) and its extensions
In [31,32], we showed that three-family models based on S3 require an expanded Higgs-messenger sector that results in two pairs of heavy messenger doublets, as well as the pair of light doublets that are to be identified as the Higgs fields Hu;d of the MSSM
While S3 has been considered as a family symmetry in prior work, our approach differs from previous literature that it is an investigation of this question within the context of the MSSM with flavored gauge mediated supersymmetry breaking
Summary
Gauge-mediated supersymmetry breaking [1,2,3,4] provides an elegant framework for the generation of the soft supersymmetry breaking sector of the minimal supersymmetric standard model (MSSM) and its extensions. One concrete realization of this idea occurs in the case that the MSSM matter fields have nontrivial charge assignments with respect to the Higgs-messenger symmetry In such scenarios, achieving the observed patterns of the quark and lepton masses and quark mixing angles is tied together with the structure of the messenger Yukawa couplings that control the flavored gauge mediation corrections to the soft supersymmetry breaking terms. While S3 has been considered as a family symmetry in prior work (see, e.g., [37,38,39,40], among others, for works in which S3 symmetry is used to predict the Cabibbo angle), our approach differs from previous literature that it is an investigation of this question within the context of the MSSM with flavored gauge mediated supersymmetry breaking In this scenario, the electroweak Higgs doublets Hu;d emerge after S3 breaking as specific linear combinations of Higgs-messenger fields in singlet and doublet representations of S3, while the orthogonal combinations of the Higgs-messenger fields are two sets of heavy messenger states that are decoupled at the messenger scale of gauge mediation.
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