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arXiv · 2010.13772

Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory

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

We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental $\zeta_3$ and $\zeta_5$ parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. As for the lightlike cusp anomalous dimension and the $\zeta_5$ part of the universal anomalous dimension, we confirm previous results.

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B. A. Kniehl, V. N. Velizhanin. 2020-10-26. Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory. https://doi.org/10.1103/physrevlett.126.061603

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