Fundamental Composite Electroweak Dynamics: Status at the LHC

TL;DR

This paper reviews the status of fundamental composite electroweak models, including Technicolor and composite Goldstone Higgs models, after the Higgs discovery, constraining their parameter space and discussing implications for future LHC searches.

Contribution

It provides a unified effective and fundamental Lagrangian framework for composite Higgs models, analyzing experimental constraints and compatibility with current data.

Findings

Many composite models remain compatible with experimental data.

The parameter space for these models is significantly constrained.

Future LHC searches can further test the composite Higgs hypothesis.

Abstract

We determine the current status of the fundamental composite electroweak dynamics paradigm after the discovery of the Higgs boson at the Large Hadron Collider experiments. Our analysis serves as universal and minimal template for a wide class of models with the two limits in parameter space being composite Goldstone Higgs models and Technicolor. This is possible because of the existence of a unified description, both at the effective and fundamental Lagrangian levels, of models of composite Higgs dynamics where the Higgs boson itself can emerge, depending on the way the electroweak symmetry is embedded, either as a pseudo-Goldstone boson or as a massive excitation of the condensate. We constrain the available parameter space at the effective Lagrangian level. We show that a wide class of models of fundamental composite electroweak dynamics, including Technicolor, are compatible with experiments. The results are relevant for future searches of a fundamental composite nature of the Higgs mechanism at the Large Hadron Collider.