CROSS-SECTION ESTIMATES FOR MULTI-HIGGS PRODUCTION AT HIGH-ENERGIES

We present lower limits on the cross-section for the process qqBAR --> H* --> nH as predicted by tree-level perturbation theory in the Minimal Standard Model. Emphasis is on high multiplicity n of the final state. Both the bound on the matrix element and the phase-space are treated essentially exactly, which makes our limit on the unitarity-respecting behaviour of this cross-section rigorous to leading order in the quark-Higgs Yukawa coupling.