Gauge-mediated embedding of the singlet extension of the minimal supersymmetric standard model

We embed the S-MSSM--a singlet extension of the minimal supersymmetric standard model with an explicit {mu}-term and supersymmetric mass term--in a gauge-mediated supersymmetry breaking scheme. We find that by absolving the singlet of its responsibility for solving the {mu}-problem, we are instead able to solve the little hierarchy problem. Specifically, we find that even with a minimal embedding of the S-MSSM into a gauge-mediated scheme, we can easily raise the lightest Higgs mass above 114 GeV, while keeping top squarks below the TeV scale, maintaining perturbative unification of the gauge couplings, and without tuning the other parameters of the model.