Natural Anomaly Mediation and its Role in Supersymmetry

Abstract

We discuss here the motivations for supersymmetry, in that it acts as an elegant solution to the big hierarchy problem, provides a mechanism for neutrino masses, and offers up new particles as candidates for dark matter. We review the for-mulation of supersymmetry and then review different models of supersymmetry breaking. We then use practical naturalness and known experimental data such as the Higgs mass to inform us of the likelihood of each model. We find that models with large A0 are able to obtain a large enough Higgs mass without large amounts of fine tuning, whereas models with low or no A0 were unable to do so. In particular, we choose to explore natural anomaly mediated supersymmetry breaking, wherein the loop suppressed anomalies in gravity mediated theories are able to become the dominant contributors to SUSY breaking since the tree level soft terms are suppressed by sequestering. Natural anomaly mediation does not assume universality however, and allows for large A0 which makes it a more viable candidate than minimal anomaly mediation. Thus, we utilize Isajet, PROSPINO, Madgraph, Pythia8, Delphes, and Root to analyze the SUSY cross sections and determine the most viable discovery channels at the high luminosity LHC.