Johannes Blümlein, Peter Marquard, Carsten Schneider, K. Schönwald,
"The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements"
, Serie RISC Report Series, Nummer 21-19, RISC, JKU, Hagenberg, Linz, 11-2021, ISSN: 2791-4267
Original Titel:
The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
Sprache des Titels:
Englisch
Original Kurzfassung:
We calculate the polarized three--loop singlet anomalous dimensions and splitting functions in QCD in the M--scheme by using the traditional method of space--like off--shell massless operator matrix elements. This is a gauge--dependent framework. Here one obtains the anomalous dimensions without referring to gravitational currents. We also calculate the non--singlet splitting function $Delta P_{rm qq}^{(2), rm s, NS}$ and compare our results to the literature.