Abstract
We report on QCD radiative corrections to the process $p\overline{p}\ensuremath{\rightarrow}\mathrm{Zb}\overline{b}$ in the approximation in which the b quark is considered massless. The implementation of this process in the general purpose Monte Carlo program MCFM is discussed in some detail. These results are used to investigate backgrounds to Higgs boson production in the $\mathrm{ZH}$ channel. We investigate the Higgs boson mass range $(100 \mathrm{GeV}l{m}_{H}l130 \mathrm{GeV})$ for the Fermilab Tevatron running at $\sqrt{s}=2 \mathrm{TeV}.$
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