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

• DOI: 10.1016/s0370-2693(00)00515-3
• Publication Date: 2002-07-25T15:59:16Z
• Authors: B. Eden; C. Schubert; E. Sokatchev
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Physical sciences; 01 natural sciences

We explicitly compute the complete three-loop (O(g^4)) contribution to the four-point function of chiral primary current-like operators 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.<br/>8 pages, standard latex, uses feynman and curves.sty<br/>