Abstract
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.
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Drummond, J., Foster, J., Gürdoğn, Ö. et al. Cluster adjacency and the four-loop NMHV heptagon. J. High Energ. Phys. 2019, 87 (2019). https://doi.org/10.1007/JHEP03(2019)087
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DOI: https://doi.org/10.1007/JHEP03(2019)087