All-multiplicity one-loop corrections to maximum-helicity-violating amplitudes in QCD

We compute the complete one-loop corrections to the simplest class of QCD gluon amplitudes, those with two color-adjacent opposite-helicity external particles. We present results for an arbitrary number of external legs. This is the first all-n computation of amplitudes that enter into collider observables at next-to-leading order. The computation uses the recently-developed on-shell recursion relations for the rational parts, along with older unitarity-based results for the cut-containing terms.