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

Abstract

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.

17 pages, 10 ancillary files

References in corpus (4)

• Dressing and Wrapping
• Anomalous dimensions of high-spin operators beyond the leading order
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution

Cited by in corpus (5)

• The Collinear Limit of the Energy-Energy Correlator
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Anomalous dimensions at small spins
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part