Higgs mediation with strong hidden sector dynamics

We present a simple model that achieves m h ≈ 126 GeV in the MSSM with large A -terms and TeV-scale stops through a combination of gauge mediation and Higgs-messenger interactions. The μ / B μ and A / m H 2 problems are both solved by a common mechanism — partial sequestering from strong hidden sector dynamics. Using the frame-work of General Messenger Higgs Mediation, we explicitly calculate the soft masses in terms of the vacuum expectation values, operator dimensions and OPE coefficients of the strongly-coupled hidden sector. Along the way, we also present a general analysis of the various constraints on sequestered Higgs mediation models. The phenomenology of such models is similar to gaugino mediation, but with large A -terms. The NLSP is always long-lived and is either the lightest stau or the Higgsino. The colored states are typically out of reach of the 8 TeV LHC, but may be accessible at 14 TeV, especially if the NLSP is the lightest stau