Predicting the clustering properties of galaxy clusters detectable by the Planck satellite
Abstract
We study the clustering properties of the galaxy clusters detectable by the Planck satellite owing to their thermal SunyaevZel'dovich (SZ) effect. We take the past lightcone effect and the redshift evolution of both the underlying dark matter correlation function and the cluster bias factor into account. A theoretical masstemperature relation allows us to convert the sensitivity limit of a catalogue into a minimum mass for the dark matter haloes hosting the clusters. We confirm that the correlation length is an increasing function of the sensitivity limits defining the survey. Using the expected characteristics of the Planck cluster catalogue, which will be a quite large and unbiased sample, we predict the twopoint correlation function and power spectrum for different cosmological models. We show that the wide redshift distribution of the Planck survey will allow us to constrain the cluster clustering properties up to z~ 1. The dependence of our results on the main cosmological parameters (the matter density parameter, the cosmological constant and the normalization of the density power spectrum) is extensively discussed. We find that future Planck clustering data will place only mild constraints on the cosmological parameters, because the results depend on the physical characteristics of the intracluster medium, like the baryon fraction and the masstemperature relation. Once the cosmological model and the Hubble constant are determined, the clustering data will allow a determination of the baryon fraction with an accuracy of a few per cent.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 October 2002
 DOI:
 10.1046/j.13658711.2002.05677.x
 arXiv:
 arXiv:astroph/0112456
 Bibcode:
 2002MNRAS.335..984M
 Keywords:

 galaxies: clusters: general;
 cosmic microwave background;
 cosmology: theory;
 dark matter;
 largescale structure of Universe;
 Astrophysics
 EPrint:
 11 pages, MNRAS in press. Minor changes to match the accepted version