Muon anomalous magnetic moment,B→Xsγ,and dark matter detection in string models with dilaton domination

We consider the muon anomalous magnetic moment $a_{\mu }$ in the string models with dilaton domination with two different string scales: the usual GUT scale and the intermediate scale. After imposing the direct search limits on the lightest neutral Higgs and supersymmetric (SUSY) particle masses and the neutralino lightest supersymmetric particle (LSP) masses, the $a_{\mu }^{\mathrm{SUSY}}$ is predicted to be less than $65\hspace{0.5em}\mathrm{}\left(55\right)\mathrm{}\times {10}^{-10}$ for $M_{\mathrm{string}}=2\mathrm{}\times {10}^{16}\hspace{0.5em}\mathrm{GeV}$ $(3\mathrm{}\times {10}^{11}\hspace{0.5em}\mathrm{GeV}).\mathrm{}$ If we further impose the $\overrightarrow{B}{X}_s\gamma$ branching ratio, the predicted $a_{\mu }^{\mathrm{SUSY}}$ becomes lower to $35\times {10}^{-10}$ for the intermediate string scale. The resulting LSP–proton scattering cross section is less than $\sim {10}^{-7}\hspace{0.5em}\mathrm{pb},$ which is below the sensitivity of the current direct dark matter search experiments, but could be covered by future experiments.