Three loop anomalous dimension of the non-singlet transversity operator in QCD

Abstract

We calculate the three-loop anomalous dimension of the non-singlet transverse operator from N=1 to N=15. Using some guess we have reconstructed a general form of three-loop anomalous dimension for arbitrary Mellin moment N. Obtained result is transformed into Bjorken-x space by an inverse Mellin transformation. The final expressions are presented in both Mellin-N and Bjorken-x space.

Comments: 30 pages, 4 figures, file with results, minor changes in the text, references added, confirmation from the recent calculation of N=16 (arXiv:1206.2890) added