Detecting the Higgs bosons of the minimal supersymmetric model

Detection of the neutral Higgs bosons of the minimal supersymmetric model (MSSM) in the W+Higgsboson+X→lγγX final state is studied in detail and compared to the inclusive γγ discovery mode. The regions of model parameter space in which viable signals emerge at the Superconducting Super Collider (SSC) and CERN Large Hadron Collider (LHC) are determined and compared to the regions where the "gold-plated" l⁺l^-l⁺l^- discovery mode can be utilized. The regions of parameter space where the detection of the charged Higgs boson in t→H⁺b decays is likely to be possible are determined. Radiative corrections to the Higgs-boson masses and neutral sector mixing angle are included in our assessments. We come close to establishing a no-lose theorem: namely, throughout nearly all of parameter space one or more of the MSSM Higgs bosons can be discovered either at the CERN e⁺e^- collider LEP II or using the above modes at the SSC or LHC, independent of the value of mₜ. A brief survey of other interesting modes is also given.