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

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.

6 pages, 1 figure, minor changes, reference added, accepted for publication in Phys. Rev. Lett

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Cited by in corpus (7)

• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• NNNLLA BFKL pomeron eigenvalue in the planar N=4 SYM theory
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability