The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD

Abstract

We present the result of a full direct component calculation for the first three even moments of the non-planar contribution into the four-loop anomalous dimension of twist-2 operators in maximally extended N=4 supersymmetric Yang-Mills theory. Obtained result complete our previous calculations in arXiv:0902.4646 and gives the usual result for the higher moments on the contrary to degenerate one in the case of Konishi. We have proposed a general form of zeta(5) and zeta(3) parts of the full non-planar anomalous dimension of twist-2 operators. As by product, we have obtained the first moment of the non-planar contribution to the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD.

arXiv comment9 pages, typos corrected

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Cited by in corpus (12)

• Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD
• Resummation and S-duality in N=4 SYM
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Non-planar data of $\mathcal{N}=4$ SYM
• Modular interpolating functions for N=4 SYM
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• 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