W, Z, AND HIGGS-BOSON SCATTERING AT SSC ENERGIES

The scattering of W, Z, and Higgs bosons in the standard model is inve stigated in the region s, m(H)2 much greater than m(W)2 with no restri ctions on the relative sizes of s and m(H)2, so that our results are a pplicable at energies below as well as above 2m(H). We have calculated , with the inclusion of the full one-loop corrections, the scattering matrix between the states W(L)+W(L)-, Z(L)Z(L), and HH, and computed t he S-wave amplitudes as functions of the center-of-mass energy square- root s for m(H) = 500 GeV and 1000 GeV. The apparent violation of unit arity is avoided by unitarizing the amplitudes by the K-matrix and the Pade methods. For the detection of the Higgs boson through gauge-boso n scattering in pp collisions, we have used the unitarized amplitudes to obtain the invariant-mass distributions for the final W(L)+W(L)- an d Z(L)Z(L) pairs at the SSC energy of square-root s = 40 TeV by means of the effective-W approximation.