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 SUSY particle masses and the lightest neutralino LSP, the $a_{ \mu}^{ \rm SUSY}$ is predicted to be less than $65 (55) \times 10^{ -10}$ for $M_{ string} = 2 \times 10^{ 16}$ GeV ($3 \times 10^{ 11}$ GeV). If we further impose the $B\to X_s \gamma$ branching ratio, the predicted $a_{ \mu}^{ \rm SUSY}$ becomes lower to $35 \times 10^{ -10}$ for intermediate string scale. The resulting LSP - proton scattering cross section is less than $\sim 10^{ -7}$ pb, which is below the sensitivity of the current direct dark matter search experiments, but could be covered by future experiments.
Categories: hep-ph