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.

arXiv comment17 pages, 10 ancillary files

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Cited by in corpus (23)

• The Collinear Limit of the Energy-Energy Correlator
• Multi-loop techniques for massless Feynman diagram calculations
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators
• A review of the AdS/CFT Quantum Spectral Curve
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• ABJM quantum spectral curve and Mellin transform
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Second order splitting functions and infrared safe cross sections in $\mathcal{N}=4$ SYM theory
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Cutting the cylinder into squares: The square form factor
• Structure constants of twist-two light-ray operators in the triple Regge limit
• SUSY, Casimir scaling and probabilistic properties of gluon and quark jets evolution
• Landau-Khalatnikov-Fradkin transformation and hatted zeta-values
• 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
• On interpolating anomalous dimension of twist-two operators with general spins