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arXiv · 2107.06267

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

J. Blümlein·P. Marquard·C. Schneider·K. Schönwald
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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.

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J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. 2021-07-13. The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements. https://doi.org/10.1016/j.nuclphysb.2021.115542

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