Hexagonalization of correlation functions II: two-particle contributions
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In this work, we compute one-loop planar five-point functions in N= 4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight factors which depend on the cross-ratios. The main new ingredient in the computation, as compared to the four-point functions studied in the previous paper, is the two-particle mirror contribution. We develop techniques to evaluate it and find agreement with the perturbative results in all the cases we analyzed. In addition, we consider next-to-extremal four-point functions, which are known to be protected, and show that the sum of one-particle and two-particle contributions at one loop adds up to zero as expected. The tools developed in this work would be useful for computing higher-particle contributions which would be relevant for more complicated quantities such as higher-loop corrections and non-planar correlators.
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1/N Expansion, Integrable Field Theories, Supersymmetric Gauge Theory
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Journal of High Energy Physics, v. 2018, n. 2, 2018.
