The threeloop unpolarized and polarized nonsinglet anomalous dimensions from off shell operator matrix elements
Abstract
We calculate the unpolarized and polarized threeloop anomalous dimensions and splitting functions P_{NS}^{+}, P_{NS}^{} and P_{NS}^{s} in QCD in the MS ‾ scheme by using the traditional method of spacelike off shell massless operator matrix elements. This is a gaugedependent framework. For the first time we also calculate the threeloop anomalous dimensions P_{NS}^{±} , tr for transversity directly. We compare our results to the literature.
 Publication:

Nuclear Physics B
 Pub Date:
 October 2021
 DOI:
 10.1016/j.nuclphysb.2021.115542
 arXiv:
 arXiv:2107.06267
 Bibcode:
 2021NuPhB.97115542B
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 40 pages Latex