Four loop anomalous dimension of the third and fourth moments of the non-singlet twist-2 operator in QCD

Abstract

We present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavour structures. We discuss also a general expressions for some contributions to the full four-loop anomalous dimension obtained with the help of the method, based on LLL-algorithm, which was proposed earlier by us for the reconstruction of a general form of the anomalous dimension from a fixed values.

Comments: 11 pages, contributions from different colour structures to numerical results are added, misprints are corrected, ancillary file with results is added