Supernatural supersymmetry: Phenomenological implications of anomaly-mediated supersymmetry breaking - art. no. 095004

We discuss the phenomenology of supersymmetric models in which supersymmetr y breaking terms are induced by the super-Weyl anomaly. Such a scenario is envisioned to arise when supersymmetry breaking takes place in another worl d, i.e., on another brane. We review the anomaly-mediated framework and stu dy in detail the minimal anomaly-mediated model parametrized by only 3 + 1 parameters: M-aux, m(o), tan beta, and sgn(mu). The renormalization group e quations exhibit a novel "focus point" las opposed to fixed point) behavior , which allows squark and slepton masses far above their usual naturalness bounds. We present the superparticle spectrum and highlight several implica tions for high energy colliders. Three lightest Supersymmetric particle (LS P) candidates exist: the W-ino, the stau, and the tau sneutrino. For the W- ino LSP scenario, light W-ino triplets with the smallest possible mass spli ttings are preferred; such W-inos are within reach of run II Fermilab Tevat ron searches. Finally, we study a variety of sensitive low energy probes, i ncluding b-->s gamma, the anomalous magnetic moment of the muon, and the el ectric dipole moments of the electron and neutron.