Mapping the Real Space Distributions of Galaxies in SDSS DR7: II. Measuring the growth rate, linear mass variance and biases of galaxies at redshift 0.1

摘要

We extend the real-space mapping method developed in [Shi16] so that it canbe applied to flux-limited galaxy samples. We use an ensemble of mock catalogsto demonstrate the reliability of this extension, showing that it allows for anaccurate recovery of the real-space correlation functions and galaxy biases. Wealso demonstrate that, using an iterative method applied to intermediate scaleclustering data, we can obtain an unbiased estimate of the growth rate ofstructure, which is related to the linear mass variance, $f\sigma_8$, to anaccuracy of $\sim 10\%$. Applying this method to the Sloan Digital Sky Survey(SDSS) Data Release 7 (DR7), we construct a real-space galaxy catalog spanningthe redshift range $0.01 \leq z \leq 0.2$, which contains 584,473 galaxies inthe North Galactic Cap (NGC). Using this data we, infer $f\sigma_8 = 0.376 \pm0.038$ at a median redshift $z=0.1$, which is consistent with the WMAP9cosmology at $1\sigma$ level. By combining this measurement with the real-spaceclustering of galaxies and with galaxy-galaxy weak lensing measurements for thesame sets of galaxies, we are able to break the degeneracy between $f$,$\sigma_8$ and $b$. From the SDSS DR7 data alone, we obtain the followingcosmological constraints at redshift $z=0.1$: $f= 0.464^{+0.04}_{-0.04}$,$\sigma_8=0.769^{+0.121}_{-0.089}$ and $b=1.910^{+0.234}_{-0.268}$,$1.449^{+0.194}_{-0.196}$, $1.301^{+0.170}_{-0.177}$, $1.196^{+0.159}_{-0.161}$for galaxies within different absolute magnitude bins $^{0.1}M_r-5logh=[-23,0,-22.0], [-22,0, -21.0], [-21.0, -20.0]$ and $[-20.0, -19.0]$, respectively.