Renormalisation of the Fayet-Iliopoulos D-term

TL;DR

This paper investigates the renormalisation behavior of the Fayet-Iliopoulos D-term in softly-broken Abelian supersymmetric theories, revealing a renormalisation group invariant trajectory related to conformal anomaly solutions.

Contribution

It demonstrates the existence of a renormalisation group invariant trajectory for the D-term coefficient through three loops, linking it to conformal anomaly solutions.

Findings

Existence of RG invariant trajectory for D-term coefficient

Connection to conformal anomaly solutions for soft masses

Analysis up to three-loop order

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.