Implications of Muon anomalous magnetic moment for Direct detection of Neutralino Dark Matter

We investigate the implications of the recent measurement of muon anomalous magnetic moment for the direct detection of neutralino dark matter in the three different SUSY models: mSUGRA, a model with non-universal Higgs mass, and an SO(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 when parameters 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 possibility to have the consistent $\Omega_{\chi}$ and the high counting ratio is open up in the region of parameter space where Higgsino mass $\mu$ is smaller than mSUGRA prediction. In particular, in the SO(10) model, the LSP dark matter detection rate may be enhanced by almost one order of magnitude compared to mSUGRA and the model with non-universal Higgs mass, for cosmologically acceptable $\Omega_{\chi} h^2$. The highest detection rate of LSP dark matter occurs in the region where the LSP constitutes a subdominant part of local halo DM. Implication of SUSY mass parameter measurement under the cosmological constraint is also discussed.