Three loop anomalous dimension of the non-singlet transversity operator in QCD
High Energy Physics - Phenomenology
2012-08-22 v2 High Energy Physics - Experiment
Nuclear Theory
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.
Cite
@article{arxiv.1203.1022,
title = {Three loop anomalous dimension of the non-singlet transversity operator in QCD},
author = {V. N. Velizhanin},
journal= {arXiv preprint arXiv:1203.1022},
year = {2012}
}
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