Determination ofgR/gLin Left-Right Symmetric Models at Hadron Colliders

Recently proposed rare decays Z′→${\mathrm{f}}_1$f${\mathrm{¯}}_2$V (with V=W or Z and ${\mathrm{f}}_{1,2}$ ordinary fermions and the forward-backward asymmetry are found to be sensitive diagnostic tests for the gauge coupling ratio ${\mathrm{g}}_{\mathrm{R}}$/${\mathrm{g}}_{\mathrm{L}}$ in left-right symmetric models (${\mathrm{SU}}_{2\mathrm{L}}$×${\mathrm{SU}}_{2\mathrm{R}}$×${\mathrm{U}}_{1\left(\mathrm{B}\mathrm{-}\mathrm{L}\right)}$). At projected luminosities of the CERN Large Hadron Collider and the Superconducting Super Collider, ${\mathrm{g}}_{\mathrm{R}}$/${\mathrm{g}}_{\mathrm{L}}$ can be determined statistically to ∼1% for ${\mathrm{M}}_{\mathrm{Z}\prime }$≃1 TeV. The absence of related decays ${\mathrm{W}}^{\prime \pm }$→${\mathrm{f}}_1$f${\mathrm{¯}}_2$ ${\mathrm{W}}^{\pm }$ would be a clean signature that W′ couples to right-handed currents. Once ${\mathrm{g}}_{\mathrm{R}}$/${\mathrm{g}}_{\mathrm{L}}$ is determined, the ratio ${\mathrm{M}}_{\mathrm{Z}\prime }$/${\mathrm{M}}_{\mathrm{W}\prime }$ and the decays Z′→${\mathrm{W}}^{+}$ ${\mathrm{W}}^{\mathrm{-}}$(${\mathrm{W}}^{\prime \pm }$→${\mathrm{W}}^{\pm }$Z) provide probes for the symmetry breaking sector.