Vacuum Stability and Triviality Analyses of the Renormalizable Coloron Model

TL;DR

This paper analyzes the vacuum stability and triviality constraints of the renormalizable coloron model up to 100 TeV, identifying viable parameter spaces and potential collider reach.

Contribution

It provides a comprehensive stability and triviality analysis of the coloron model, including four fermionic scenarios and their experimental implications.

Findings

Vectorial scenarios are less constrained than chiral ones.

A 100 TeV collider can explore the entire allowed parameter space of chiral models.

Exclusion plots summarize the parameter constraints.

Abstract

The renormalizable coloron model is built around a minimally extended color gauge group, which is spontaneously broken to QCD. The formalism introduces massive color-octet vector bosons (colorons), as well as several new scalars and fermions associated with the symmetry breaking sector. In this paper, we examine vacuum stability and triviality conditions within the context of the renormalizable coloron model up to a cutoff energy scale of 100~TeV, by computing the beta-functions of all relevant couplings and determining their running behavior as a function of the renormalization scale. We constrain the parameter space of the theory for four separate scenarios based on differing fermionic content, and demonstrate that the vectorial scenarios are less constrained by vacuum stability and triviality bounds than the chiral scenarios. Our results are summarized in exclusion plots for the separate scenarios, with previous bounds on the model overlaid for comparison. We find that a 100 TeV hadron collider could explore the entire allowed parameter space of the chiral models very effectively.