Muon anomalous magnetic moment, $B\to X_s\gamma$ and dark matter detection in the string models with dilaton domination

Abstract

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 $a_{\mu }^{\mathrm{SUSY}}$ 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 $a_{\mu }^{\mathrm{SUSY}}$ 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.

Comments: PRD accepted version