  We report on QCD radiative corrections to the process, p\bar{p} to Zb\bar{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 ZH channel. We investigate the Higgs mass
range (100 GeV < m_H < 130 GeV) for the Tevatron running at sqrt{s}=2 TeV.
