All five-loop planar four-point functions of half-BPS operators in N=4 SYM

Authors : Dmitry Chicherin, Alessandro Georgoudis, Vasco Goncalves and Raul Pereira Preprint number: UUITP-34/18 We obtain all planar four-point correlators of half-BPS operators in N=4 SYM up to five loops. The ansatz for the integrand is fixed partially by imposing light-cone OPE relations between different correlators. We then fix the integrated correlators by comparing their asymptotic expansions with simple data obtained from integrability. We extract OPE coefficients and find a prediction for the triple wrapping correction of the hexagon form factors, which contributes already at the five-loop order.