Abstract
We have computed the simplest five point function in \( \mathcal{N} \) = 4 SYM at two loops using the hexagonalization approach to correlation functions. Along the way we have determined all two-particle mirror contributions at two loops and we have computed all the integrals involved in the final result. As a test of our results we computed a few four-point functions and they agree with the perturbative results computed previously. We have also obtained l loop results for some parts of the two-particle contributions with l arbitrary. We also derive differential equations for a class of integrals that should appear at higher loops in the five point function.
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Fleury, T., Goncalves, V. Decagon at two loops. J. High Energ. Phys. 2020, 30 (2020). https://doi.org/10.1007/JHEP07(2020)030
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DOI: https://doi.org/10.1007/JHEP07(2020)030