Three-loop four-point correlator in N=4 SYM

We explicitly compute the complete three-loop (O(g(4))) contribution to the four-point function of chiral primary current-like operators [(q) over til de(2)q(2)(q) over tilde(2)q(2)] in any finite N = 2 SYM theory. The computa tion uses N = 2 harmonic supergraphs in coordinate space. Dramatic simplifi cations are achieved by a double insertion of the N = 2 SYM linearized acti on, and application of superconformal covariance arguments to the resulting nilpotent six-point amplitude. The result involves polylogarithms up to fo urth order of the conformal cross ratios. It becomes particularly simple in the Ai = 4 special case. (C) 2000 Elsevier Science B.V. All lights reserve d.