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 P-NS(+), P-NS(-) and P-NS(s) in QCD in the (MS) over bar 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-NS(+/-,tr) for transversity directly. We compare our results to the literature. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

In this study, the unpolarized and polarized three-loop anomalous dimensions and splitting functions in QCD were calculated using the traditional method of space-like off shell massless operator matrix elements in the (MS) over bar scheme. It was found that this is a gauge-dependent framework. Additionally, the three-loop anomalous dimensions for transversity were calculated directly for the first time, and the results were compared to the literature.