author = {J. Blümlein and P. Marquard and C. Schneider and K. Schönwald},
title = {{The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements}},
language = {english},
abstract = {We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{rm NS}^+, P_{rm NS}^-$ and $P_{rm NS}^{rm s}$ in QCD in the $overline{sf MS}$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions $P_{rm NS}^{rm pm, tr}$ for transversity directly. We compare our results to the literature. },
journal = {Nucl. Phys. B},
volume = {971},
pages = {1--44},
isbn_issn = {ISSN 0550-3213},
year = {2021},
note = {arXiv:2107.06267 [hep-ph]},
refereed = {yes},
length = {44},
url = {https://doi.org/10.1016/j.nuclphysb.2021.115542}