Determination of $Z'$ Gauge Couplings to Quarks and Leptons at Future Hadron Colliders
We point out that at future hadron colliders the ratio of cross sections for $pp\to Z'\to \ell^+\ell^-$ in two rapidity bins is a useful probe of the relative couplings of the $Z'$ to $u$ and $d$ quarks. Combined with the forward-backward asymmetry, the rare decay modes $Z'\to W \ellν_\ell$, and three associated productions $pp\to Z'V$ ($V=Z,W,γ$), and assuming inter-family universality, small $Z-Z'$ mixing, and the $Z'$ charge commuting with the $SU_{2L}$ generators, three out of four normalized couplings could be extracted. An analysis of the statistical uncertainties expected for the above probes at the LHC for typical models with $M_{Z'}\simeq1$ TeV shows that one lepton coupling and two combinations of quark couplings could be determined to around 5\%, 20\%, and 30\%, respectively. This allows for a clear distinction between models.