Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2018)177
Keywords
1/N Expansion; Integrable Field Theories; Supersymmetric Gauge Theory
Categories
Funding
- CAPES/INCTMAT [88887.143256/2017-00]
- Perimeter Institute
- European Research Council [ERC-2012- AdG 320769]
- US Department of Energy
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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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