Testing the handedness of a heavy $W^{\mathrm{\prime }}$ at future hadron colliders

We show that the associated production $pp\to W^{\mathrm{\prime }}W$, and the rare decay $pp\to W^{\mathrm{\prime }}\to \bar{\mathrm{\ell }}\mathrm{\ell }W$ are useful tests of $W^{\mathrm{\prime }}$ couplings to fermions at future hadron colliders. For $M_{W^{\mathrm{\prime }}}\sim (1-3)$ TeV they would allow a clean determination on whether the $W^{\mathrm{\prime }}$ couples to $V-A$ or $V+A$ currents. As an illustration a model in which the $W^{\mathrm{\prime }\pm }$ couples only to $V-A$ currents is contrasted to the left-right symmetric models which involve $V+A$ currents.