Decagon at Two Loops

Abstract

We have computed the simplest five point function in $\mathcal{N}=4$ SYM at two loops using the hexagonalization approach to correlation functions. Along the way we have determined all two-particle mirror contributions at two loops and we have computed all the integrals involved in the final result. As a test of our results we computed a few four-point functions and they agree with the perturbative results computed previously. We have also obtained $l$ loop results for some parts of the two-particle contributions with $l$ arbitrary. We also derive differential equations for a class of integrals that should appear at higher loops in the five point function.

24 pages + appendices + 12 nice figures

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Cited by in corpus (13)

• Ten dimensional symmetry of N=4 SYM correlators
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• Exactly solvable single-trace four point correlators in $\chi$CFT${}_4$
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Hexagonalization of Fishnet integrals I: mirror excitations
• Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges
• Stampedes II: Null Polygons in Conformal Gauge Theory
• Spinning Hexagons
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Three-Point Functions in ABJM and Bethe Ansatz
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons