Improved effective vector boson approximation revisited

We reexamine the improved effective vector boson approximation which is based on two-vector-boson luminosities ${\mathbf{L}}_{\mathrm{p}\mathrm{o}\mathrm{l}}$ for the computation of weak gauge-boson hard scattering subprocesses $V_1 V_2\to {\cal W}$inhigh-energyhadron-hadronor$e^-e^+$ collisions. We calculate these luminosities for the nine combinations of the transverse and longitudinal polarizations of $V_1$ and $V_2$ in the unitary and axial gauge. For these two gauge choices the quality of this approach is investigated for the reactions $e^{-}{e}^{+}\to W^{-}{W}^{+}{\nu }_e{\bar{\nu }}_e$ and $e^-e^+ \to t {\bar t} \nu_e {\bar\nu}_e$ using appropriate phase-space cuts.