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  • Letter
  • Open Access

Nonplanar four-loop anomalous dimensions of twist-two operators in N=4 supersymmetric Yang-Mills theory: Higher moment, general result, and cusp anomalous dimension

B. A. Kniehl*

V. N. Velizhanin†

  • II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

  • *Contact author: kniehl@desy.de
  • †Contact author: vitaly.velizhanin@desy.de
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Phys. Rev. D 111, L061902 – Published 21 March, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L061902

Abstract

We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the art, so as to confirm the correctness of the general, all-j result conjectured previously by us [Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory, Nucl. Phys. B968, 115429 (2021).] imposing certain constraints on its analytic form. Thanks to our new result, such constraints can be eliminated altogether. By the same token, this allows us to rederive, in a completely independent way, the nonplanar four-loop cusp anomalous dimension by taking the large-j limit of the general result.

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Phys. Rev. D 111, L061902– Published 21 March, 2025
  • Received 17 September 2024
  • Accepted 2 March 2025
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