Hexagonalization of correlation functions II: two-particle contributions

• Main Author: Fleury, Thiago [UNESP]
• Publication Date: 2018
• Other Authors: Komatsu, Shota
• Format: Article
• Language: eng
• Source: Repositório Institucional da UNESP
• Download full: http://dx.doi.org/10.1007/JHEP02(2018)177; http://hdl.handle.net/11449/175969
• topic: 1/N Expansion; Integrable Field Theories; Supersymmetric Gauge Theory

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.