Using `Invisible' Decay Modes as Probes of Z' Couplings

We explore the possibility that $Z^{\mathrm{\prime }}$ couplings can be probed using decay modes which involve neutrinos once Standard Model backgrounds are directly determined by the data itself. For some models, sufficient statistics are available at either the SSC or LHC to render these modes useful for coupling determinations, provided the mass of the $Z^{\mathrm{\prime }}$ is not much larger than 1 TeV, if we assume other new physics background sources are absent.