Top Quark Loop Corrections to the Neutral Higgs Boson Production at the Fermilab Tevatron

We calculate the $O(\alpha m_t^2\mathrm{/}{m}_W^2)$ corrections arising from diagrams involving the top-quark loops to the light neutral Higgs boson production via $q{\bar{q}}^{\mathrm{\prime }}\to WH$ at the Fermilab Tevatron in both the standard model and the minimal supersymmetric model. In contrast to the QCD correction which increases the tree-level cross section, the corrections imply a few percent reduction in the production cross section relative to the tree-leve results.