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Stringent experimental constraints have raised the lower limit on the massesof squarks to TeV levels, while compatibility with the mass of the Higgs bosonprovides an upper limit. This two-sided bound has lead to the emergence ofMini-Split theories where gauginos are not far removed from the electroweakscale while scalars are somewhat heavier. This small hierarchy modifies thespectrum of standard anomaly and gauge mediation, leading to Mini-Splitdeflected anomaly and gauge mediation models. In this paper, we study LHCconstraints on these models and their prospects at LHC 14 and a 100 TeVcollider. Current constraints on their parameter space come from ATLAS and CMSsupersymmetry searches, the known mass of the Higgs boson, and the absence of acolor-breaking vacuum. Prospects at LHC 14 and a 100 TeV collider are obtainedfrom these same theoretical constraints in conjunction with backgroundestimates. As would be expected from renormalization group effects, a slightlylighter third generation of squarks is assumed. Higgsinos have masses similarto those of the scalars and are at the origin of the deflection.

LHC constraints on Mini-Split anomaly and gauge mediation and prospects for LHC 14 and a future 100 TeV pp collider