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The Three-loop MHV Octagon from $\bar{Q}$ equations
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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.
Forward citations
Cited by 2 Pith papers
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Cluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM
Infinite mutation sequences of the cluster quiver Q3 generate the six cubic algebraic symbol letters of the near-collinear four-point energy correlator in N=4 super-Yang-Mills theory.
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Double spacelike collinear limits from multi-Regge kinematics
The double spacelike collinear limit of planar N=4 SYM is governed by a generalized splitting amplitude that equals the six-point BDS-subtracted amplitude in multi-Regge kinematics.
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