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Date and Time of the Query: 2019-07-22 T13:36:53 PDT
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For refcode 2009ApJ...691.1307H:
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2009ApJ...691.1307H The X-Ray Cluster Normalization of the Matter Power Spectrum Henry, J. Patrick; Evrard, August E.; Hoekstra, Henk; Babul, Arif; Mahdavi, Andisheh Abstract. The number density of galaxy clusters provides tight statistical constraints on the matter fluctuation power spectrum normalization, traditionally phrased in terms of {sigma}_8_, the root-mean-square mass fluctuation in spheres with radius 8 h ^-1^ Mpc. We present constraints on {sigma}_8_ and the total matter density {OMEGA}_m0_ from local cluster counts as a function of X-ray temperature, taking care to incorporate and minimize systematic errors that plagued previous work with this method. In particular, we present new determinations of the cluster luminosity-temperature and mass-temperature relations, including their intrinsic scatter, and a determination of the Jenkins mass function parameters for the same mass definition as the mass-temperature calibration. Marginalizing over the 12 uninteresting parameters associated with this method, we find that the local cluster temperature function implies {sigma}_8_({OMEGA}_m0_/0.32)^{alpha}^ = 0.86 +/- 0.04 with {alpha} = 0.30 and 0.41 for {OMEGA}_m0_ <= 0.32 and {OMEGA}_m0_ >= 0.32, respectively (68% confidence for two parameters). This result agrees with a wide range of recent independent determinations, and we find no evidence of any additional sources of systematic error for the X-ray cluster temperature function determination of the matter power spectrum normalization. The joint WMAP5 + cluster constraints are {OMEGA}_m0_ = 0.30^+0.03^_-0.02_ and {sigma}_8_ = 0.85^+0.04^_-0.02_ (68% confidence for two parameters). Key words: cosmological parameters, cosmology: observations, galaxies: clusters: general, large-scale structure of universe, X-rays: galaxies
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