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We reassess employing the holographic technique to the description of 4Dminimal composite Higgs model with $SO(5)\to SO(4)$ global symmetry breakingpattern. The particular 5D bottom-up holographic treatment is inspired byprevious work in the context of QCD and it allows to study spin one and spinzero resonances. The resulting spectrum consists of the states transformingunder the unbroken $SO(4)$ subgroup and those with quantum numbers in the$SO(5)/SO(4)$ coset. The spin one states are arranged in linear radialtrajectories, and the states from the broken subgroup are generally heavier.The spin zero states from the coset space correspond to the four masslessGoldstone bosons in 4D. One of them takes the role of the Higgs boson.Restrictions derived from the experimental constraints (Higgs couplings, $S$parameter, etc.) are then implemented and we conclude that the model is able toaccommodate new vector resonances with masses in the range $2$ TeV to $3$ TeVwithout encountering phenomenological difficulties. The couplings governing theproduction of these new states in the processes of the SM gauge bosonscattering are also estimated. The method can be extended to other breakingpatterns.

Soft Wall holographic model for the minimal Composite Higgs