$N=1$ supersymmetry and the three loop anomalous dimension for the chiral superfield

Abstract

We calculate the three loop anomalous dimension for a general $N=1$ supersymmetric gauge theory. The result is used to probe the possible existence of renormalisation invariant relationships between the Yukawa and gauge couplings.

18 pages. Uses Harvmac. Revised version includes discussion of the special case of the Wess-Zumino model