Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD

We present the result of a calculation for the first even moment of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavor structures.Comment: 8 pages, comparison with prediction from Pade approximation (hep-ph/9905310) adde

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

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.Comment: 13 pages, 3 figures, references added. arXiv admin note: text overlap with arXiv:1008.275