A note on four-point correlators of half-BPS operators in N=4 SYM

International audienceWe calculate the four-point correlation function of half-BPS operators withweights 2, 3, 3, 4 in N=4 SYM to two-loop order. The OPE of this correlationfunction provides a nontrivial check of the integrability conjecture for aclass of three-point functions formulated in arXiv:1311.6404. Our perturbativecalculation exploits the supergraph formalism in N=2 harmonic superspace