Leading electroweak corrections to the neutral Higgs boson production at the Fermilab tevatron

We calculate the leading electroweak corrections to the light neutral Higgs boson production via q (q) over bar' --> W H at the Fermilab Tevatron in b oth the standard model and the minimal supersymmetric model, which arise fr om the top-quark and Higgs boson loop diagrams. We found that the leading e lectroweak corrections can exceed the QCD corrections for favorable values of the parameters in the MSSM, but such corrections are only about -2% simi lar to -4% in the SM, which are much smaller than the QCD corrections. For the mass region of 90 < m(h0) < 120 GeV, the leading electroweak correction s can reach -20% for large tan beta, and these corrections may be observabl e at a high luminosity Tevatron; at the least, new constraints on the tan b eta can be established.