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arXiv · 2312.05888

Anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories

B. A. Kniehl·V. N. Velizhanin
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Abstract

We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two operator for several fixed values of Lorentz spin. This is the first direct diagrammatic calculation of this kind, and we confirm results previously obtained by means of integrability. For N=2 SYM, we obtain the general result for the anomalous dimension at third order of perturbation theory and find the three-loop Cusp anomalous dimension.

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B. A. Kniehl, V. N. Velizhanin. 2023-12-10. Anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories. https://arxiv.org/abs/2312.05888

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