Gauge Mediation Models with Neutralino Dark Matter

We study gauge mediation models of supersymmetry breaking with neutralino LSP. These models are naturally realized by embedding the usual four-dimensional gauge mediation models into a higher-dimensional spacetime such as $M^4\times S^1\mathrm{/}{Z}_2$. We calculate the relic abundance of the neutralino LSP in these models and show that there exist wide parameter regions where the neutralino LSP constitutes the dominant component of the cold dark matter. These regions evade constraints from collider experiments such as Higgs mass bounds and $b\text{ra}s\gamma$, and also provide the value for the muon anomalous magnetic moment which is consistent with the SUSY explanation of the deviation from the standard model prediction.