Non-planar anomalous dimension of twist-2 operators: higher moments at four loops

Abstract

We compute the non-planar contribution to the anomalous dimension of the eight moment of the twist-2 operators in N=4 supersymmetric Yang-Mills theory at four loops. This result was obtained from the calculations of some elements of the anomalous dimension matrix for twist-2 operators with the help of a relations between its elements and eigenvalues. The properties of the obtained result and a possible relations with a planar results are discussed.

arXiv comment13 pages, 3 figures, references added. arXiv admin note: text overlap with arXiv:1008.2752

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• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Non-planar data of $\mathcal{N}=4$ SYM
• From correlation functions to event shapes in QCD
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• FMFT: Fully Massive Four-loop Tadpoles
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• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• On interpolating anomalous dimension of twist-two operators with general spins