Dark matter, fine-tuning and $(g-2{)}_{\mu }$ in the pMSSM

Abstract

In this paper we analyze spectra in the phenomenological supersymmetric Standard Model that simultaneously result in the right dark-matter relic density ${\Omega }_{\mathrm{DM}}{h}^2$, offer an explanation for the $(g-2{)}_{\mu }$ discrepancy $\Delta a_{\mu }$ and are minimally fine-tuned. We discuss the LHC phenomenology resulting from these spectra and the sensitivity of dark-matter direct detection experiments to these spectra. We find that the latter type of experiments with sensitivity to the spin-dependent dark-matter-nucleon scattering cross section ${\sigma }_{\mathrm{SD},\mathrm{p}}$ will probe all of our found solutions.