Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder

Abstract

We reproduce the two-loop seven-point remainder function in planar, maximally supersymmetric Yang-Mills theory by direct integration of conformally-regulated chiral integrands. The remainder function is obtained as part of the two-loop logarithm of the MHV amplitude, the regularized form of which we compute directly in this scheme. We compare the scheme-dependent anomalous dimensions and related quantities in the conformal regulator with those found for the Higgs regulator.

arXiv comment22 pages, 1 figure. Detailed results available in an ancillary file

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• Lifting Heptagon Symbols to Functions
• Building Bases of Loop Integrands
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• The Two-Loop Remainder Function for Eight and Nine Particles
• A nice two-loop next-to-next-to-MHV amplitude in $\mathcal{N}=4$ super-Yang-Mills
• Illustrations of Integrand-Basis Building at Two Loops
• All Two-Loop, Color-Dressed, Six-Point Amplitude Integrands in sYM
• The Stratification of Rigidity