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The Four-Point Correlator of Planar sYM at Twelve Loops

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arxiv 2503.15593 v1 pith:YAW4RK7B submitted 2025-03-19 hep-th

Jacob L. Bourjaily , Song He , Canxin Shi , Yichao Tang This is my paper
classification hep-th
keywords loopscoefficientscatalanconjecturecorrelatorgraphsloopplanar
verification ladder T0 review T1 audit T2 compute T3 formal
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We determine the 4-point correlation function and amplitude in planar, maximally supersymmetric Yang-Mills theory to 12 loops. We find that the recently-introduced 'double-triangle' rule in fact implies the previously described square and pentagon rules; and when applied to 12 loops, it fully determines the 11-loop correlator and fixes all but 3 of the (22,024,902) 12-loop coefficients; these remaining coefficients can be subsequently fixed using the '(single-)triangle' rule. Not only do we confirm the Catalan conjecture for anti-prism graphs, but we discover evidence for a greatly generalized Catalan conjecture for the coefficients of all polygon-framed fishnet graphs. We provide all contributions through 12 loops as ancillary files to this work.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  5. Energy Correlators: A Journey From Theory to Experiment

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