$N=1$ 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.

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