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Higher-Point Integrands in N=4 super Yang-Mills Theory

by Till Bargheer, Thiago Fleury, Vasco Gonçalves

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Submission summary

Authors (as registered SciPost users): Till Bargheer · Thiago Fleury
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-05-31
Date submitted: 2023-05-11 17:07
Submitted by: Fleury, Thiago
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in N=4 super Yang-Mills theory. In addition, we compute the integrand of the five-point function at three-loop order. Using the operator product expansion, we extract the two-loop four-point function of one Konishi operator and three twenty-prime operators. Two methods were used for computing the integrands. The first method is based on constructing an ansatz, and then numerically fitting for the coefficients using the twistor-space reformulation of N=4 super Yang-Mills theory. The second method is based on the OPE decomposition. Only very few correlator integrands for more than four points were known before. Our results can be used to test conjectures, and to make progresses on the integrability-based hexagonalization approach for correlation functions.

Published as SciPost Phys. 15, 059 (2023)

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