One-loop corrections to two-quark three-gluon amplitudes

Abstract

We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ( qqggg ). 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.