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, \ensuremath{\epsilon}. Terms through $\mathcal{O}({\ensuremath{\epsilon}}^{2})$ can contribute in infrared divergent phase space integrals associated with next-to-next-to-leading order jet cross sections.