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Cluster adjacency and the four-loop NMHV heptagon
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Cluster adjacency and the four-loop NMHV heptagon
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We exploit the recently described property of cluster adjacency for scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory to construct the symbol of the four-loop NMHV heptagon amplitude. We use a manifestly cluster adjacent ansatz and describe how the parameters of this ansatz are determined using simple physical consistency requirements. We then specialise our answer for the amplitude to the multi-Regge limit, finding agreement with previously available results up to the next-to-leading logarithm, and obtaining new predictions up to (next-to)$^3$-leading-logarithmic accuracy.
Forward citations
Cited by 5 Pith papers
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Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap
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