A two Higgs doublet model with flavorful Yukawa structure, in which the two doublets give mass to the third and the first two generations respectively, is combined with the twin Higgs mechanism to stabilize the Higgs mass against radiative corrections. We consider both a mirror twin and fraternal twin setup. We identify Higgs signal strength measurements and the decay B s → µµ as the most important indirect constraints on the parameter space of the model. We explore the collider phenomenology of the model and find that the heavy Higgs in the visible sector can give a sizable number of displaced decays into b-jets in regions of parameter space where the SM-like Higgs and the twin Higgs do not provide any striking signatures.
I. INTRODUCTIONThe absence of clear evidence for new degrees of freedom at the electroweak scale from the Large Hadron Collider (LHC) challenges "traditional" solutions to the hierarchy problem that predict new colored degrees of freedom at the TeV scale. One elegant way to address the hierarchy problem that largely avoids constraints from direct searches at the LHC, is the twin Higgs mechanism [1] and its variations [2,3]. In the twin Higgs model the SM Higgs exists as part of an enlarged, approximately SU (4) symmetric, scalar sector. The symmetry is broken resulting in Higgs doublets both in the visible sector and in an additional "twin" sector. The original twin Higgs model prescribed a mirror symmetry, resulting in an exact copy of the SM in the twin sector (see e.g. also [4,5]). The twin fermions are not charged under the SM gauge symmetries and therefore very hard to search for experimentally. The