  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.
