On the accuracy of the high redshift cluster luminosity function

Details On the accuracy of the high redshift cluster luminosity function On the accuracy of the high redshift cluster luminosity function

2008-10-08

arxiv.org/abs/0810.1535v1

Astronomy and Astrophysics

Astrophysics

12 pages, 8 figures. Accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2008.14059.x

We study the reliability of the statistical background subtraction method for computing the Ks-band luminosity function of cluster galaxies at z~1 using mock Red-sequence Cluster Survey cluster catalogues constructed from GALFORM semi-analytic galaxies. The underlying cluster luminosity function in the mocks are compatible with recent estimates at z~1 by several authors. We simulate different samples where the number of clusters with Ks-band photometry goes from 5 to a maximum of 50, in order to find the most suitable observational sample to carry out this study; the current observational status in the nIR wavelength range has been reached using 5 real clusters at z~1. We compute the composite luminosity function for several samples of galaxy clusters with masses 1.5x10^14 M_sun assuming a flux limited, complete sample of galaxies down to Ks=21.0 magnitudes. We find that the Schechter fit parameters Ks* and alpha for a sample of galaxies with no redshift information are rather poorly constrained if both parameters are allowed to vary freely; if alpha is fixed at a fiducial value, then Ks* shows significantly improved stochastic uncertainties but can be influenced by systematic deviations. We find a significantly improved accuracy in the luminosity function parameters when adding photometric redshift information for bright cluster galaxies. The dwarf-to-giant ratios inferred from the luminosity functions of red-sequence galaxies in the mock catalogue agree very well with the underlying values. Finally, we find that in order to use estimates of Ks* to study the formation redshift of cluster galaxies at z=1, the sample would need to contain 520 z~1 clusters, for an accuracy of 2 Gyr at the 68 per cent confidence level.

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