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arXiv · 2110.00350

The Three-loop MHV Octagon from $\bar{Q}$ equations

Zhenjie Li·Chi Zhang
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Abstract

The $\bar{Q}$ equations, rooted in the dual superconformal anomalies, are a powerful tool for computing amplitudes in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. By using the $\bar{Q}$ equations, we compute the symbol of the first MHV amplitude with algebraic letters -- the three-loop 8-point amplitude (or the octagon remainder function) -- in this theory. The symbol alphabet for this amplitude consists of 204 independent rational letters and shares the same 18 algebraic letters with the two-loop 8-point NMHV amplitude.

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Zhenjie Li, Chi Zhang. 2021-10-01. The Three-loop MHV Octagon from $\bar{Q}$ equations. https://doi.org/10.1007/jhep12(2021)113

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