The Fayet-Iliopoulos D-term and its renormalisation in softly-broken   supersymmetric theories
  We consider the renormalisation of the Fayet-Iliopoulos D-term in a softly-broken abelian supersymmetric theory, and calculate the associated beta-function through three loops. We show that there exists (at least through three loops) a renormalisation group invariant trajectory for the coefficient of the D-term, corresponding to the conformal anomaly solution for the soft masses and couplings. 
I. Jack, D.R.T. Jones and S. Parsons