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Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD

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arxiv 1112.3954 v2 pith:WRFKXSV5 submitted 2011-12-16 hep-ph

Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD

classification hep-ph
keywords anomalousdimensionmomentnon-singlettwist-2calculationcoloreven
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the result of a calculation for the first even moment of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavor structures.

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Cited by 3 Pith papers

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  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.

  2. 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

    Presents the zeta(3)-proportional term of the four-loop non-singlet twist-two quark anomalous dimension for general N in closed form, extracted via analytic reconstruction from published Mellin moments.

  3. Properties and implications of the four-loop non-singlet splitting functions in QCD

    hep-ph 2026-05 unverdicted novelty 7.0

    Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new ...