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arxiv: 1607.06047 · v1 · submitted 2016-07-20 · ✦ hep-th · hep-ph

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Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties

Christian Marboe , Vitaly Velizhanin
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classification ✦ hep-th hep-ph
keywords resultspinanalyticloopsplanarseventheorytwist-2
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The anomalous dimension of twist-2 operators of arbitrary spin in planar N=4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation with the recently computed correction to the BFKL and double-logarithmic equation is discussed.

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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.