Abstract
Within the minimal supersymmetric extension of the Standard Model (MSSM) the associated production of neutral Higgs bosons with top and bottom quarks belongs to the most important Higgs-boson production processes at the LHC. At large values of $\mathrm{tg}\ensuremath{\beta}$, in particular, bottom-Higgs associated production constitutes the dominant production channel within the MSSM. We have calculated the next-to-leading-order supersymmetric QCD corrections to neutral Higgs production through the parton processes $q\overline{q}$, $gg\ensuremath{\rightarrow}t\overline{t}/b\overline{b}+h/H/A$ and present results for the total cross sections. The genuine SUSY-QCD corrections are of moderate size for small $\mathrm{tg}\ensuremath{\beta}$, but can be sizable for large $\mathrm{tg}\ensuremath{\beta}$. In the latter case the bulk of these corrections can be absorbed into effective bottom Yukawa couplings.
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