Linear $\sigma$ model for the Goldstone Higgs - Experimental tests

TL;DR

This paper develops a renormalizable linear sigma model based on minimal $SO(5)$ symmetry to explore the Goldstone nature of the Higgs, analyzing its phenomenological implications and experimental constraints.

Contribution

It introduces a renormalizable $SO(5)$ linear sigma model with soft symmetry breaking, incorporating gauge bosons and fermions for Higgs phenomenology.

Findings

Constraints from precision observables are analyzed.

Impacts on current and future LHC data are discussed.

The model provides a framework for testing Goldstone Higgs scenarios.

Abstract

In order to explore a possible dynamical nature for the Higgs field (such as its being a pseudo-Goldstone boson) we develop a renormalizable Lagrangian based on the minimal $SO(5)$ linear $\sigma$-model with the symmetry softly broken to $SO(4)$, including gauge bosons and fermions. We then present the phenomenological implications and constraints from precision observables and the impact on present and future LHC data.