Fun with New Gauge Bosons at 100 TeV

The production of new gauge bosons is a standard benchmark for the exploration of the physics capabilities of future colliders. The $\sqrt s=100$ TeV Future Hadron Collider will make a major step in our ability to search for and explore the properties of such new states. In this paper, employing traditional models to make contact with the past and more recent literature, we not only establish in detail the discovery and exclusion reaches for both the $Z'$ and $W'$ within these models but, more importantly, we also examine the capability of the FHC to extract information relevant for the determination of the couplings of the $Z'$ to the fermions of the Standard Model as well as the helicity of the corresponding $W'$ couplings. This is a necessary first step in determining the nature of the underlying theory which gave rise to these states.