Six-loop anomalous dimension of twist-two operators in planar N = 4 $$ \mathcal{N}=4 $$ SYM theory

Abstract

We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar $$ \mathcal{N}=4 $$ SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms from the first 35 even spin values of the full six-loop anomalous dimension computed using the quantum spectral curve approach. The obtained anomalous dimension satisfies all known constraints coming from the BFKL equation, the generalised double-logarithmic equation, and the small spin expansion.