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The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
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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.
Forward citations
Cited by 2 Pith papers
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Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters
A framework that turns missing higher-order perturbative coefficients into fit-able theory nuisance parameters, giving correlated and statistically meaningful theory uncertainties.
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