The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order

Abstract

We present universal factorization formulas describing the behavior of one-loop QCD amplitudes as external momenta become either soft or collinear. Our results are valid to all orders in the dimensional regularization parameter, $\text{eps}$. Terms through $\text{Ord}({\text{eps}}^2)$ can contribute in infrared divergent phase space integrals associated with next-to-next-to-leading order jet cross-sections.

Comments: Latex, 39 pages, normalization corrected in eq. (3.7)