All five-loop planar four-point functions of half-BPS operators in $\mathcal N=4$ SYM
High Energy Physics - Theory
2020-11-24 v3
Abstract
We obtain all planar four-point correlators of half-BPS operators in 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.
Keywords
Cite
@article{arxiv.1809.00551,
title = {All five-loop planar four-point functions of half-BPS operators in $\mathcal N=4$ SYM},
author = {Dmitry Chicherin and Alessandro Georgoudis and Vasco Goncalves and Raul Pereira},
journal= {arXiv preprint arXiv:1809.00551},
year = {2020}
}
Comments
26 pages, 3 figures; ancillary files with results. v2: Published version and corrected typo in triple wrapping result. v3: Corrected error in citations from v2