MSSM Higgs boson phenomenology at the Fermilab Tevatron collider

The Higgs sector of the minimal supersymmetric standard model (MSSM) consists of five physical Higgs bosons, which offer a variety of channels for their experimental search. In this study, we clarify the sensitivity of the future Fermilab Tevatron searches for neutral MSSM Higgs bosons in several channels as a function of the pseudoscalar mass $M_A,\hspace{0.5em}\tan \beta ,$ and the properties of the top and bottom squarks. We place special emphasis on the radiative corrections to the down-type quark and lepton couplings to the Higgs bosons for large $\tan \beta ,$ and how they effect production cross sections and branching ratios.