We reassess employing the holographic technique to the description of a 4D minimal composite Higgs model with $SO(5)\to SO(4)$ global symmetry breaking pattern. This particular 5D bottom-up holographic treatment is inspired by previous work in the context of QCD and it allows us to study spin one and spin zero resonances. The resulting spectrum consists of the states transforming under 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 radial trajectories, and the states from the broken subgroup are generally heavier. The spin zero states from the coset space correspond to the four massless Goldstone 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 to accommodate new vector resonances with masses in the range 2 TeV to 3 TeV without encountering phenomenological difficulties. The couplings governing the production of these new states in the processes of the Standard Model gauge boson scattering are also estimated. The method can be extended to other breaking patterns.

• Received 17 August 2020
• Accepted 10 February 2021

DOI:https://doi.org/10.1103/PhysRevD.103.055006

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Published by the American Physical Society