We present the next-to-leading order QCD corrected rate for the production of
a scalar Higgs boson with a pair of high p_T bottom and anti-bottom quarks at
the Tevatron and at the Large Hadron Collider. Results are given for both the
Standard Model and the Minimal Supersymmetric Standard Model. The exclusive
b-bbar-h production rate is small in the Standard Model, but it can be greatly
enhanced in the Minimal Supersymmetric Standard Model for large tan(beta),
making b-bbar-h an important discovery mode. We find that the next-to-leading
order QCD results are much less sensitive to the renormalization and
factorization scales than the lowest order results, but have a significant
dependence on the choice of the renormalization scheme for the bottom quark
Yukawa coupling.Comment: 27 pages, 17 figures, RevTeX
