Abstract
The \( \overline{Q} \) 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 \( \overline{Q} \) 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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Li, Z., Zhang, C. The three-loop MHV octagon from \( \overline{Q} \) equations. J. High Energ. Phys. 2021, 113 (2021). https://doi.org/10.1007/JHEP12(2021)113
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DOI: https://doi.org/10.1007/JHEP12(2021)113