Implications of the Muon Anomalous Magnetic Moment for Direct Detection of Neutralino Dark Matter

We investigate the implications of the recent measurement of muon anomalousmagnetic moment for the direct detection of neutralino dark matter in the threedifferent SUSY models: mSUGRA, a model with non-universal Higgs mass, and anSO(10) GUT model. We consider two extreme scenario for $\Delta a_\mu$ bound,i.e. $27 \times 10^{-10} < \Delta a_\mu < 59 \times 10^{-10}$ (1$\sigma$ bound)and $0 < \Delta a_\mu < 11 \times 10^{-10}$ ($2\sigma$ below). In mSUGRA model,the counting ratio may be above the sensitivity of the future experiments whenparameters are within $1\sigma$ bound of $\Delta a_{\mu}$. However, the$\Omega_{\chi}$ tends to be high compared to the currently favored value$\Omega=0.3$. For models with the non-universal scalar masses, the possibilityto have the consistent $\Omega_{\chi}$ and the high counting ratio is open upin the region of parameter space where Higgsino mass $\mu$ is smaller thanmSUGRA prediction. In particular, in the SO(10) model, the LSP dark matterdetection rate may be enhanced by almost one order of magnitude compared tomSUGRA and the model with non-universal Higgs mass, for cosmologicallyacceptable $\Omega_{\chi} h^2$. The highest detection rate of LSP dark matteroccurs in the region where the LSP constitutes a subdominant part of local haloDM. Implication of SUSY mass parameter measurement under the cosmologicalconstraint is also discussed