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

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arxiv 2107.06267 v1 pith:4ZHLHZEL submitted 2021-07-13 hep-ph hep-lathep-th

J. Blümlein , P. Marquard , C. Schneider , K. Schönwald This is my paper
classification hep-phhep-lathep-th
keywords anomalousdimensionscalculateelementsmatrixoperatorpolarizedshell
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The four-loop non-singlet splitting functions in QCD

    hep-ph 2026-04 unverdicted novelty 8.0 of 10

    Four-loop non-singlet splitting functions in QCD are computed analytically for the first time, with numerical representations provided.

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    hep-ph 2026-05 unverdicted novelty 7.0 of 10

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    hep-ph 2026-05 unverdicted novelty 7.0 of 10

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    hep-ph 2025-07 conditional novelty 7.0 of 10

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