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Phys."],"published-print":{"date-parts":[[2020,7]]},"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n                     <\/jats:title><jats:p>We have computed the simplest five point function in <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \\mathcal{N} $$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>N<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> = 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 <jats:italic>l<\/jats:italic> loop results for some parts of the two-particle contributions with <jats:italic>l<\/jats:italic> arbitrary. We also derive differential equations for a class of integrals that should appear at higher loops in the five point function.<\/jats:p>","DOI":"10.1007\/jhep07(2020)030","type":"journal-article","created":{"date-parts":[[2020,7,6]],"date-time":"2020-07-06T16:04:17Z","timestamp":1594051457000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Decagon at two loops"],"prefix":"10.1007","volume":"2020","author":[{"given":"Thiago","family":"Fleury","sequence":"first","affiliation":[]},{"given":"Vasco","family":"Goncalves","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,7,6]]},"reference":[{"key":"13313_CR1","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/S0370-2693(00)00515-3","volume":"B 482","author":"B Eden","year":"2000","unstructured":"B. Eden, C. Schubert and E. Sokatchev, Three loop four point correlator in N = 4 SYM, Phys. Lett. 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