Intermediate scale supersymmetric inflation, matter and dark energy

We consider supersymmetric inflation models in which inflation occurs at an intermediate scale and which provide a solution to the mu 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 b y a set of parameters which also affect particle physics collider phenomena , neutrino masses and the strong CP problem. For such models the natural si tuation is a universe containing matter composed of baryons, massive neutri nos, lightest superpartner cold dark matter and axions. The present-day rel ic abundances of these different forms of matter are (in principle) calcula ble from the supersymmetric inflation model together with a measurement of the cosmic microwave background temperature and the Hubble constant. From t hese relic abundances one can deduce the amount of the present-day dark ene rgy density.