Constraints on vector resonances from a strong Higgs sector

We consider a scenario of a composite Higgs arising from a strong sector. We assume that the lowest lying composite states are the Higgs scalar doublet and a massive vector triplet, the dynamics below the compositeness scale of which are described in terms of an effective Lagrangian. Electroweak symmetry breaking takes place through a vacuum expectation value just as in the Standard Model, but with the vector resonances strongly coupled to the Higgs field. We determine the constraints on this scenario imposed by (i) the Higgs diphoton decay rate, (ii) the electroweak precision tests, and (iii) searches of heavy resonances at the LHC in the final states l+l− and lνl (l=e, μ), τ+τ−, jj, tt¯, WZ, WW, WH, and ZH. We find that the heavy vector resonances should have masses in the range 2–3 TeV. In addition, the mixing of the heavy vectors with the Standard Model gauge bosons should be below tanϑ∼0.3, which is consistent with the original assumption that the Higgs couples weakly to the Standard sector and strongly to the heavy vector resonances.