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

TL;DR

This paper calculates the non-planar four-loop contribution to the eighth moment of twist-2 operators' anomalous dimension in N=4 SYM, revealing insights into non-planar effects and their relation to planar results.

Contribution

It provides the first explicit four-loop non-planar anomalous dimension for the eighth moment of twist-2 operators in N=4 SYM, using novel computational techniques.

Findings

Non-planar four-loop anomalous dimension computed for the eighth moment.

Relations between anomalous dimension matrix elements and eigenvalues established.

Discussion on the connection between non-planar and planar results.

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.