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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.62.125022

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.

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