One-Jet Inclusive Cross Section at Orderαs3: Gluons Only

The next-to-leading-order jet cross section is calculated for the simplified case in which there are only gluons. The general structure of the differences from the lowest-order cross section are described. The important new effects at this order are the explicit dependence on the definition of the jet and the reduced dependence on the choice of the renormalization scale ${\mu }^2$. While only the purely glue results are discussed here, we expect that the dependence on the jet definition and on ${\mu }^2$ will be quite similar in the complete calculation, which we are now undertaking.