We report on QCD radiative corrections to the process p (p) over bar --> Zb
(b) over bar in the approximation in which the b quark is considered massl
ess. The implementation of this process in the general purpose Monte Carlo
program MCFM is discussed in some detail. These results an used to investig
ate backgrounds to Higgs boson production in the ZH channel. We investigate
the Higgs boson mass range (100 GeV<m(H)<130 GeV) for the Fermilab Tevatro
n running at <root>s = 2 TeV.