I. Jack et al., Fayet-Iliopoulos D term and its renormalization in softly broken supersymmetric theories - art. no. 125022, PHYS REV D, 6212(12), 2000, pp. 5022
We consider the renormalization of the Fayet-Iliopoulos D term in a softly
broken Abelian supersymmetric theory, and calculate the associated beta fun
ction through three loops. We show that there exists (at least through thre
e loops) a renormalization group invariant trajectory for the coefficient o
f the D term, corresponding to the conformal anomaly solution for the soft
masses and couplings.