Phenomenology of induced electroweak symmetry breaking

We study the phenomenology of models of electroweak symmetry breaking where the Higgs potential is destabilized by a tadpole arising from the coupling to an "auxiliary" Higgs sector. The auxiliary Higgs sector can be either perturbative or strongly coupled, similar to technicolor models. Since electroweak symmetry breaking is driven by a tadpole, the cubic and quartic Higgs couplings can naturally be significantly smaller than their values in the standard model. The theoretical motivation for these models is that they can explain the 125 GeV Higgs mass in supersymmetry without fine-tuning. The auxiliary Higgs sector contains additional Higgs states that cannot decouple from standard model particles, so these models predict a rich phenomenology of Higgs physics beyond the standard model. In this paper we analyze a large number of direct and indirect constraints on these models. We present the current constraints after the 8TeV run of the LHC, and give projections for the sensitivity of the upcoming 14TeV run. We find that the strongest constraints come from the direct searches A(0) -> Zh, A(0) -> t (t) over bar, with weaker constraints from Higgs coupling fits. For strongly-coupled models, additional constraints come from rho(+) -> W Z where rho(+) is a vector resonance. Our overall conclusion is that a significant parameter space for such models is currently open, allowing values of the Higgs cubic coupling down to 0.4 times the standard model value for weakly coupled models and vanishing cubic coupling for strongly coupled models. The upcoming 14TeV run of the LHC will stringently test this scenario and we identify several new searches with discovery potential for this class of models.