Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?

Abstract

This article discusses the occurences of one-loop amplitudes within a next-to-next-to-leading order calculation. In an NNLO calculation the one-loop amplitude enters squared and one would therefore naively expect that the O(epsilon)- and O(epsilon^2)-terms of the one-loop amplitudes are required. I show that the calculation of these terms can be avoided if a method is known, which computes the O(epsilon^0)-terms of the finite remainder function of the two-loop amplitude.

20 pages, minor modifications, version to be published

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• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders
• NNLO subtraction for any massless final state: a complete analytic expression
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• The three-loop singlet contribution to the massless axial-vector quark form factor
• Two-loop n-point anomalous amplitudes in N=4 supergravity