The SZ effect as a cosmological discriminator

We show how future measurements of the SZ effect (SZE) can be used to constrain the cosmological parameters. We combine the SZ information expected from the Planck full-sky survey, N(S), where no redshift information is included, with the N(z) obtained from an optically-identified SZ-selected survey covering less than 1% of the sky. We demonstrate how with a small subsample (approx. 300 clusters) of the whole SZ catalogue observed optically it is possible to drastically reduce the degeneracy among the cosmological parameters. We have studied the requirements for performing the optical follow-up and we show the feasibility of such a project. Finally we have compared the cluster expectations for Planck with those expected for Newton-XMM during their lifetimes. It is shown that, due to its larger sky coverage, Planck will detect a factor approx. 5 times more clusters than Newton-XMM and also with a larger redshift coverage.