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arXiv · 2002.04617

Cusp and collinear anomalous dimensions in four-loop QCD from form factors

Andreas von Manteuffel·Erik Panzer·Robert M. Schabinger
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Abstract

We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimensions. Our approach is to Laurent expand four-loop quark and gluon form factors in the parameter of dimensional regularization. We employ finite field and syzygy techniques to reduce the relevant Feynman integrals to a basis of finite integrals, and subsequently evaluate the basis integrals directly from their standard parametric representations.

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Andreas von Manteuffel, Erik Panzer, Robert M. Schabinger. 2020-05-11. Cusp and collinear anomalous dimensions in four-loop QCD from form factors. https://doi.org/10.1103/physrevlett.124.162001

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