nu Seesaw Uses: UV Insensitive Supersymmetry Breaking without Tachyons

Abstract

This document contains a systematic analysis of supersymmetric left-right models in the context of anomaly mediated supersymmetry breaking starting with the high-scale, left-right theory and ending with the supersymmetry-scale theory. It is shown that the combination of supersymmetric left-right models and anomaly mediated supersymmetry breaking retains the attractive features of anomaly mediation while simultaneously providing a solution to the tachyonic slepton problem of the minimal supersymmetric standard model with anomaly mediated supersymmetry breaking. The supersymmetric left-right theory introduces new yukawa couplings that permit positive slepton mass-squares while retaining the ultra violet insensitivity of anomaly mediated supersymmetry breaking as well its economy. The new couplings are introduced by independent considerations of explaining neutrino oscillation experiments through the seesaw mechanism, and survive below the seesaw scale from an accidental symmetry of the potential. Furthermore, the seesaw mechanism is implemented in such a way that R-parity is a natural residual symmetry--leading to a stable, weakly-interacting particle to explain dark matter. The resulting mass spectrum is detailed, both qualitatively and quantitatively, providing comparisons with other popular supersymmetry breaking scenarios. It is demonstrated that the model contains gaugino masses that are much closer in size than other schemes, as well as the possibility of a mild squark-slepton mass degeneracy. The issue of higgsino masses is also explored, and attention is paid to the dark matter composition. The model is shown to have a viable dark matter candidate that evades current direct detection bounds but will be probed by future planned experiments. The low-energy consequences of the model are analyzed, and the matter of electroweak symmetry breaking is expounded. It is shown that the problem of a higgsino mass below the LEP II bound in the next-to minimal supersymmetric standard model with anomaly mediated supersymmetry breaking is easily avoided by this theory. Finally, prospects for confirmation of this theory at the LHC are investigated, as well as potential signatures in lepton flavor violation experiments.