The Minimal Composite Higgs Model
Kaustubh Agashe, Roberto Contino, Alex Pomarol
TL;DR
The paper presents a minimal composite Higgs scenario in a 5D AdS framework, where the Higgs emerges as a pseudo-Goldstone boson from a global SO(5)×U(1)_{B-L} symmetry with custodial protection. It shows how a 4D effective theory with the Higgs as a PGB can be realized holographically in 5D, enabling calculable Higgs potentials via top loops and precise predictions for EW observables. The analysis yields a light Higgs (m_H ≲ 140 GeV), S and T compatible with EWPT for modest tuning, and TeV-scale resonances around 1–3 TeV, with the top sector largely composite. The holographic approach provides a concrete link between 4D effective descriptions and 5D dynamics, predicting testable signatures at the LHC in the top sector and in vector/fermionic resonances.
Abstract
We study the idea of a composite Higgs in the framework of a five-dimensional AdS theory. We present the minimal model of the Higgs as a pseudo-Goldstone boson in which electroweak symmetry is broken dynamically via top loop effects, all flavour problems are solved, and contributions to electroweak precision observables are below experimental bounds. Since the 5D theory is weakly coupled, we are able to fully determine the Higgs potential and other physical quantities. The lightest resonances are expected to have a mass around 2 TeV and should be discovered at the LHC. The top sector is mostly composite and deviations from Standard Model couplings are expected.