We study in detail the particle spectrum in anomaly mediated supersymmetry
breaking models in which supersymmetry breaking terms are induced by the
super-Weyl anomaly. We investigate the minimal anomaly mediated supersymmetry
breaking models, gaugino assisted supersymmetry breaking models, as well as
models with additional residual nondecoupling D-term contributions due to an
extra U(1) gauge symmetry at a high energy scale. We derive sum rules for the
sparticle masses in these models which can help in differentiating between
them. We also obtain the sparticle spectrum numerically, and compare and
contrast the results so obtained for the different types of anomaly mediated
supersymmetry breaking models.Comment: LaTeX, 20 pages, 6 figures. A few comments and a reference added;
typos corrected; version published in Phys. Rev.