The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions PNS+,PNS− and PNSs in QCD in the 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 ca...

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Bibliographic Details
Main Authors: J. Blümlein, P. Marquard, C. Schneider, K. Schönwald
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032132100239X
Description
Summary:We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions PNS+,PNS− and PNSs in QCD in the 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 PNS±,tr for transversity directly. We compare our results to the literature.
ISSN:0550-3213