Intermediate scale supersymmetric inflation, matter and dark energy

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Abstract
We consider supersymmetric inflation models in which inflation occurs at an intermediate scale and which provide a solution to the µ problem and the strong CP problem. Such models are particularly attractive since inflation, baryogenesis and the relic abundance of cold dark matter are all related by a set of parameters which also affect particle physics collider phenomena, neutrino masses and the strong CP problem. For such models the natural situation is a universe containing matter composed of baryons, massive neutrinos, lightest superpartner cold dark matter and axions. The present-day relic abundances of these different forms of matter are (in principle) calculable from the supersymmetric inflation model together with a measurement of the cosmic microwave background temperature and the Hubble constant. From these relic abundances one can deduce the amount of the present-day dark energy density.