The Fayet-Iliopoulos D-term and its renormalisation in softly-broken supersymmetric theories

Abstract

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.

Comments: 30 pages, Revtex, 15 Figures. Minor changes, and inadvertent omission of author from this abstract corrected