Probing the parameter space for an MSSM inflation and the neutralino dark matter

Abstract

The flat directions $LLe$ and $udd$ within the minimal supersymmetric standard model provide all the necessary ingredients for a successful inflation with the right amplitude of the scalar density perturbations, negligible gravity waves and the spectral tilt within $2\ensuremath{\sigma}$ observed range $0.92\ensuremath{\le}{n}_{s}\ensuremath{\le}1.0$. In this paper we explore the available parameter space for inflation in conjunction with a thermal cold dark matter abundance within the minimal supergravity model. Remarkably for the inflaton, which is a combination of squarks and sleptons, there is a stau-neutralino coannihilation region below the inflaton mass 500 GeV for the observed density perturbations and the tilt of the spectrum. For such a low mass of the inflaton the LHC is capable of discovering the inflaton candidates within a short period of its operation. Inflation is also compatible with the focus point region which opens up for the inflaton masses above TeV. We show that embedding MSSM within $SO(10)$ can naturally favor this region.