Renormalisation of the Fayet-Iliopoulos D-term

Abstract

We consider the renormalisation of the Fayet-Iliopoulos D-term in a softly-broken Abelian supersymmetric theory. 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: 11 pages, TeX, Uses Harvmac (big). References added, minor corrections (including a sign error for the zeta(3) terms), and discussion of scheme dependence corrected and amplified