Z′-Mediated Supersymmetry Breaking

We consider a class of models in which supersymmetry breaking is communicated dominantly via a $U(1{)}^{\prime }$ gauge interaction, which also helps solve the $\mu$ problem. Such models can emerge naturally in top-down constructions and are a version of split supersymmetry. The spectrum contains heavy sfermions, Higgsinos, exotics, and $Z^{\prime }$ $\sim 10–100\mathrm{TeV}$, light gauginos$\sim 100–1000\mathrm{GeV}$, a light Higgs boson$\sim 140\mathrm{GeV}$, and a light singlino. A specific set of $U(1{)}^{\prime }$ charges and exotics is analyzed, and we present five benchmark models. The implications for the gluino lifetime, cold dark matter, and the gravitino and neutrino masses are discussed.