Direct Detection of Neutralino Dark Matter and the Anomalous Dipole Moment of the Muon

Abstract

We compare predictions for the spin-independent contribution to the neutralino-proton scattering cross section $\text{sig}$ and for the anomalous magnetic dipole moment of the muon, $a_{\mu }=(g_{\mu }-2)/2$, in models with gravity-mediated supersymmetry breaking. We nearly always find a positive correlation between these two measurables, i.e. scenarios with larger $a_{\mu }$ also tend to have larger $\text{sig}$, but the detailed prediction differs greatly between models. In particular, we find that for the popular mSUGRA scenario with universal soft breaking masses at the scale of Grand Unification, measurements of $a_{\mu }$ currently seem more promising. On the other hand, if scalar soft breaking masses at the GUT scale receive sizable contributions from SO(10) D-terms, one often finds scenarios with large $\text{sig}$ but $a_{\mu }$ below the currently foreseen sensitivity. A string-inspired model with non-universal scalar spectrum at the GUT scale falls between these two cases.

Comments: Some references added and manuscript slightly modified