We compute four-point correlation functions of scaler composite operators i
n the N = 4 supercurrent multiplet at order g(4) using the N = 1 superfield
formalism, We confirm the interpretation of short-distance logarithmic beh
aviours in terms of anomalous dimensions of unprotected operators exchanged
in the intermediate channels and we determine the two-loop contribution to
the anomalous dimension of the N = 4 Konishi supermultiplet. (C) 2000 Else
vier Science B.V. All rights reserved.