%0 Journal Article %T One-Loop Corrections to Two-Quark Three-Gluon Amplitudes %A Z. Bern %A L. Dixon %A D. A. Kosower %J Physics %D 1994 %I arXiv %R 10.1016/0550-3213(94)00542-M %X We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ($\bar{q}qggg$). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at hadron colliders. We also discuss how to use group theory and supersymmetry to minimize the amount of calculation required for the more general case of one-loop two-quark $n$-gluon amplitudes. We use collinear limits to provide a stringent check on the amplitudes. %U http://arxiv.org/abs/hep-ph/9409393v3