  Models of strong $WW$ scattering in the $s$-wave can be represented in a
gauge invariant fashion by defining an effective scalar propagator that
represents the strong scattering dynamics. The $\sigma(qq \ra qqWW)$ signal may
then be computed in U-gauge from the complete set of tree amplitudes, just as
in the standard model, without using the effective $W$ approximation (EWA). The
U-gauge ``transcription'' has a wider domain of validity than the EWA, and it
provides complete distributions for the final state quanta, including
experimentally important jet distributions that cannot be obtained from the
EWA. Starting from the usual formulation in terms of unphysical Goldstone boson
scattering amplitudes, the U-gauge transcription is verified by using BRS
invariance to construct the complete set of gauge and Goldstone boson
amplitudes in $R_{\xi}$ gauge.
