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

TL;DR

This paper computes the seven-loop anomalous dimension of twist-2 operators in planar N=4 SYM theory using advanced spectral curve techniques, providing a full analytic result and exploring its properties.

Contribution

It presents the first complete seven-loop result for twist-2 anomalous dimensions and analyzes their analytic continuation and relation to BFKL corrections.

Findings

Seven-loop anomalous dimension explicitly computed.

Analytic continuation to negative spin performed and analyzed.

Connection with BFKL and double-logarithmic corrections established.

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.