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We consider a theory with composite top quarks but an elementary Higgs boson.The hierarchy problem can be solved by supplementing TeV scale topcompositeness with either supersymmetry or Higgs compositeness appearing at themulti-TeV scale. The Higgs boson couples to uncolored partons within the topquark. We study how this approach can give rise to a novel screening effectthat suppresses production of the colored top partners at the LHC. Strongconstraints arise from Z to bb, as well potentially from flavor physics.Independent of flavor considerations, current constraints imply a compositenessscale near a TeV; this implies that the model is likely tuned at the percentlevel. Four top quark production at the LHC is a smoking-gun probe of thisscenario. New CP violation in D meson mixing is also possible.

Naturalness from a Composite Top?