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

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, .] 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. Published by the American Physical Society 2025