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arXiv · hep-th/0003096

Three-Loop Four-Point Correlator in N=4 SYM

B. Eden·C. Schubert·E. Sokatchev
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Abstract

We explicitly compute the complete three-loop (O(g^4)) contribution to the four-point function of chiral primary current-like operators <(q)^2 q^2 (q)^2 q^2> in any finite N=2 SYM theory. The computation uses N=2 harmonic supergraphs in coordinate space. Dramatic simplifications are achieved by a double insertion of the N=2 SYM linearized action, and application of superconformal covariance arguments to the resulting nilpotent six-point amplitude. The result involves polylogarithms up to fourth order of the conformal cross ratios. It becomes particularly simple in the N=4 special case.

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B. Eden, C. Schubert, E. Sokatchev. 2000-03-13. Three-Loop Four-Point Correlator in N=4 SYM. https://doi.org/10.1016/s0370-2693(00)00515-3

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