Thermal inflation, baryogenesis and axions

In a previous paper, we proposed a simple extension of the Minimal Supersymmetric Standard Model which gives rise to thermal inflation and baryogenesis in a natural and remarkably consistent way. In this paper, we consider the lambda(phi) = 0 special case of our model, which is the minimal way to incorporate a Peccei-Quinn symmetry. The axino/flatino becomes the lightest supersymmetric particle with M-(a) over tilde similar to 1 to 10GeV and is typically over-produced during the flaton decay. Interestingly though, the dark matter abundance is minimized for m((a) over tilde) - 1 GeV, f(a) similar to 10(11) to 10(12) GeV and vertical bar mu vertical bar similar to 400 GeV to 2 TeV at an abundance coincident with the observed abundance and with significant amounts of both axions and axinos. Futhermore, for these values the baryon abundance naturally matches the observed abundance.