The quark and gluon form factors to three loops in QCD through to O(eps^2)

Abstract

We give explicit formulae for the O(eps) and O(eps^2) contributions to the unrenormalised three loop QCD corrections to quark and gluon form factors. These contributions have at most transcendentality weight eight. The O(eps) terms of the three-loop form factors are required for the extraction of the four-loop quark and gluon collinear anomalous dimensions. The O(eps^2) terms represent an irreducible contribution to the finite part of the form factors at four-loops. For the sake of completeness, we also give the contributions to the one and two loop form factors to the same transcendentality weight eight.

12 pages, 1 figure. The expressions for the form factors are attached in electronic form to the source of the present submission. v2: minor modifications, matches published version. arXiv admin note: text overlap with arXiv:1004.3653

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• Quark and gluon form factors to three loops
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