Weak Corrections to Associated Higgs-Bottom Quark Production

In models with an enhanced coupling of the Higgs boson to the bottom quark, the dominant production mechanism in hadronic collisions is often the partonic subprocess, $bg\ensuremath{\rightarrow}bH$. We derive the weak corrections to this process and show that they can be accurately approximated by an ``improved Born approximation.'' At the Tevatron, these corrections are negligible and are dwarfed by PDF and scale uncertainties for ${M}_{H}l200\text{ }\text{ }\mathrm{GeV}$. At the LHC, the weak corrections are small for ${M}_{H}l500\text{ }\text{ }\mathrm{GeV}$. For large Higgs boson masses, the corrections become significant and are $\ensuremath{\sim}18%$ for ${M}_{H}\ensuremath{\sim}1\text{ }\text{ }\mathrm{TeV}$ at $\sqrt{s}=10\text{ }\text{ }\mathrm{TeV}$.