HEAVY HIGGS SEARCH WITH HADRON SUPERCOLLIDERS UP TO ROOT-S=200 TEV

In addition to a light Higgs (M(h) almost-equal-to 0.1 TeV) a heavy on e is expected (M(H) almost-equal-to 1 TeV). The knowledge of the two H iggs masses allows to predict the masses of as many as thirty sparticl es expected in the simplest Supergravity theory. The production of a h eavy Higgs (M(H) much greater than 2M(Z)) is studied via Monte Carlo a t three hadron supercollider energies: square-root s= 16 TeV (LHC), sq uare-root s = 40 TeV (SSC) and square-root s = 200 TeV (ELN/Eloisatron ), for three masses: M(H) = 500, 750, 1000 GeV. The 4-muon decay mode is investigated, in the presence of the <<irreducible>> background. Th e collider energy becomes a crucial parameter for the Higgs discovery as the Higgs mass increases. For a Higgs as heavy as 1 TeV the winning parameter is energy, not luminosity.