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We address renormalisation group evolution issues that arise in the AnomalyMediated Supersymmetry Breaking scenario when the tachyonic slepton problem isresolved by Fayet-Iliopoulos term contributions. We present typical sparticlespectra both for the original formulation of this idea and an alternative usingFayet-Iliopoulos terms for a U(1) compatible with a straightforward GUTembedding.

Anomaly Mediation, Fayet-Iliopoulos D-terms and the Renormalisation Group