Abstract
We estimate the reach of the 14 TeV LHC and future hadronic and leptonic colliders in the parameter space of the minimal composite Higgs model, outlining the complementarity of direct resonance searches and indirect information from the measurements of the Higgs boson couplings. The reach on electroweak charged spin-one resonances, taken here as representative direct signatures, is obtained from the current 8 TeV LHC limits by an extrapolation procedure which we outline and validate. The impact of electroweak precision tests, and their possible improvement at future colliders, is also quantified.
Highlights
Aside from being a well-motivated theoretical possibility, CH is the ideal framework for our investigation since it predicts both indirect and direct effects which could both be sizeable enough to be detected
In the form of corrections to SM couplings or new BSM vertices [14,15,16,17,18,19,20,21,22,23], unavoidably emerge due to the pseudo-Nambu-Goldstone boson nature of the Higgs leading to deviations proportional to ξ ≡ v2/f 2 where f is the Goldstone boson Higgs decay constant and v the electroweak symmetry breaking (EWSB) scale
The strongest indirect constraints on CH models currently come from electroweak precision tests (EWPT), where CH models could have already shown up in the form of oblique corrections or modifications of the Zbb vertex [14, 19, 23]
Summary
Aside from being a well-motivated theoretical possibility, CH is the ideal framework for our investigation since it predicts both indirect and direct effects which could both be sizeable enough to be detected. We decided to focus on indirect effects associated to the modification of the Higgs boson couplings because they have the great virtue of being largely insensitive to many details of the specific model and predictable in a fairly model-independent way.. Top partners are very sensitive probes of CH models because their mass directly controls the generation of the Higgs potential and the level of fine-tuning required to achieve EWSB and a light enough Higgs boson [48,49,50,51,52,53] Their properties and their very existence is, to some extent, model-dependent, and we do not consider top partner signatures but focus instead on EW vector resonances From where the indirect reach on ξ is immediately compared with direct searches, which set limits on the (mρ, ξ) or (mρ, gρ) planes
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