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arXiv · 1809.00551

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

Dmitry Chicherin·Alessandro Georgoudis·Vasco Goncalves·Raul Pereira
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Abstract

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.

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Dmitry Chicherin, Alessandro Georgoudis, Vasco Goncalves, Raul Pereira. 2018-09-03. All five-loop planar four-point functions of half-BPS operators in $\mathcal N=4$ SYM. https://doi.org/10.1007/jhep11(2018)069

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