Natural top-bottom mass hierarchy in composite Higgs models

We consider composite two-Higgs doublet models based on gauge-Yukawa theories with strongly interacting fermions generating the top-bottom mass hierarchy. The model features a single "universal" Higgs-Yukawa coupling, g, which is identified with the top quark ggt∼O(1). The top-bottom mass hierarchy arises by soft breaking of a Z2 symmetry by a condensate of strongly interacting fermions. A mass splitting between vectorlike masses of the confined technifermions controls this top-bottom mass hierarchy. This mechanism can be present in a variety of models based on vacuum misalignment. For concreteness, we demonstrate it in a composite two-Higgs scheme.