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The Three-Loop Splitting Functions in QCD

A. Vogt·S. Moch·J. Vermaseren
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Abstract

We have computed the next-to-next-to-leading-order (NNLO) contributions to the evolution of unpolarized parton distributions in perturbative QCD. In this talk, we briefly recall why this huge computation was necessary and outline how it was performed. We then illustrate the structure of the results and discuss their end-point limits which include the three-loop cusp anomalous dimensions of the Wilson lines. Finally the numerical impact of the new contributions is illustrated.

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A. Vogt, S. Moch, J. Vermaseren. 2004-07-28. The Three-Loop Splitting Functions in QCD. https://arxiv.org/abs/hep-ph/0407321

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