Heavy thresholds, slepton masses and the mu term in anomaly mediated supersymmetry breaking

The effects of heavy mass thresholds on anomaly-mediated soft supersymmetry breaking terms are discussed. While heavy thresholds completely decouple t o lowest order in the supersymmetry breaking, it is argued that they do aff ect the breaking terms at higher orders. The relevant contributions typical ly occur at lower order in the loop expansion compared to purely anomaly me diated contributions. The non decoupling contributions may be used to rende r models in which the only source of supersymmetry breaking is anomaly medi ation viable, by generating positive contributions to the sleptons' masses squared. They can also be used to generate acceptable mu- and B-terms.