Hexagonalization of Correlation Functions II: Two-Particle Contributions

Understand

In this work, we compute one-loop planar five-point functions in $\mathcal{N}$=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.