Abstract
We investigate the QCD corrections to the cross section and single-particle inclusive differential distributions for p + p̄ → Q(Q̄) + X where Q and Q̄ are heavy quarks. We calculate the order αS corrections to the parton reaction q + q̄ → Q + Q̄ which involves the computation of the virtual gluon contributions and the soft and hard contributions from the reaction q + q̄ → Q + Q̄ + g. The contributions from the channels g + q(q̄) → Q + Q̄ + q(q̄) are also calculated. Including the order αS corrections to g + g → Q + Q̄ from our previous paper, we give exact results for the order α3S cross sections and single-particle inclusive differential distributions for the production of t and b quarks in pp̄ collisions at energies presently available at the CERN Spp̄S and the Fermilab tevatron. Results for future pp colliders are also presented. Finally we compare the results of the simple approximations to the order αS corrections with the exact results.
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