The one jet inclusive cross section at order αs

In this paper, the author discusses the next-to-leading order cross section for making one jet plus anything in high energy collisions at hadron colliders. The work that the author discusses is in progress, so the author will limit himself to the case that we have worked out so far: the simplified case in which there are only gluons. The author will emphasize the general structure of the differences between the next-to-leading order cross section and the Born cross section. 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 μ2. While only the purely glue results are discussed here, the author expects that the dependence of the jet definition and on μ2 will be quite similar in the complete calculations