The Dynamical Composite Higgs

TL;DR

This paper introduces a simplified microscopic model for a composite Higgs as a pseudo-Nambu-Goldstone boson arising from $SO(5)$ symmetry breaking, using four-fermion interactions and the Nambu-Jona-Lasinio mechanism, consistent with experimental constraints.

Contribution

It provides a simpler ultraviolet completion of pNGB Higgs models with explicit fermion constituents and predicts new particles accessible at the LHC.

Findings

The Higgs potential is insensitive to high energy scales due to an infrared fixed point.

The model accommodates the observed Higgs mass and aligns with electroweak precision tests.

Predicts new vector-like fermions and a heavy singlet scalar in the multi-TeV range.

Abstract

We present a simple microscopic realization of a pseudo-Nambu-Goldstone (pNGB) boson Higgs scenario arising from the breaking of $SO(5) \rightarrow SO(4)$. The Higgs constituents are explicitly identified as well as the interactions responsible for forming the bound state and breaking the electroweak symmetry. This outcome follows from the presence of four-fermion interactions with a super-critical coupling, and uses the Nambu-Jona-Lasinio mechanism to break the global $SO(5)$ symmetry. The Higgs potential is found to be insensitive to high energy scales due to the existence of an approximate infrared fixed point. The appearance of vector resonances is described and the correspondence with other proposals in the literature established. The model described here is significantly simpler than other recent ultraviolet completions of pNGB scenarios. The observed Higgs mass can be accommodated, and agreement with electroweak precision tests achieved in certain regions of parameter space. There are also new vector-like fermions, some of which may lie within reach of the LHC. In addition, we predict a heavy standard model singlet scalar in the multi-TeV range. The amount of fine-tuning required in the model is studied. Finally, we show that such a scheme can be completed in the ultraviolet by a renormalizable theory.