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arxiv: 1203.1022 · v2 · submitted 2012-03-05 · ✦ hep-ph · hep-ex· nucl-th

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Three loop anomalous dimension of the non-singlet transversity operator in QCD

V. N. Velizhanin
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classification ✦ hep-ph hep-exnucl-th
keywords anomalousdimensionbjorken-xmellinnon-singletoperatorspacethree-loop
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We calculate the three-loop anomalous dimension of the non-singlet transverse operator from N=1 to N=15. Using some guess we have reconstructed a general form of three-loop anomalous dimension for arbitrary Mellin moment N. Obtained result is transformed into Bjorken-x space by an inverse Mellin transformation. The final expressions are presented in both Mellin-N and Bjorken-x space.

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

  1. Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

    hep-ph 2026-05 unverdicted novelty 7.0

    Closed-form expression for the ζ(3) term of the four-loop non-singlet twist-two quark anomalous dimension for arbitrary N, extracted via analytic reconstruction from Mellin moments.