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

Understand

We obtain all planar four-point correlators of half-BPS operators in $\mathcal{N}=4$ 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.