Abstract
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 $ g\equiv g_t \sim \mathcal{O}(1) $. The top-bottom mass hierarchy arises by soft breaking of a $ \mathbb{Z}_2 $ symmetry by a condensate of strongly interacting fermions. A mass splitting between vector-like masses of the confined techni-fermions 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.
Highlights
The relative hierarchy of the top mass to the other standard model (SM) fermion masses has long been of interest [1,2,3,4,5,6,7,8,9,10]
We describe this by an angle, sin θ 1⁄4 vEW=ð2 2fÞ [11], where vEW 1⁄4 246 GeV and f is the decay constant of the pNGBs depending on the confinement of the underlying strong dynamics
The concrete SUð6Þ=Spð6Þ model can be extended to describe the masses of the other SM fermions by adding a SUð2ÞL technifermion doublet for each SM fermion
Summary
The relative hierarchy of the top mass to the other standard model (SM) fermion masses has long been of interest [1,2,3,4,5,6,7,8,9,10]. In this paper we explore a mechanism for generating the top-bottom mass hierarchy with a universal HY coupling constant [g ≡ gt 1⁄4 gb ∼ Oð1Þ]. We consider the minimal composite 2HDM fulfilling the above requirements, the SUð6Þ=Spð6Þ model of [21]. In this model, the top-bottom mass hierarchy can be controlled by a mass splitting in the explicit vectorlike masses of the confining fermions. Models that explains the origin of the Z2 symmetry breaking term and the effective Higgs-Yukawa terms, and (ii) extending this kind of models such that they include the mass hierarchy of the other SM fermions
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