Modelling the anisotropic twopoint galaxy correlation function on small scales and singleprobe measurements of H(z), D_{A}(z) and f(z)σ_{8}(z) from the Sloan Digital Sky Survey DR7 luminous red galaxies
Abstract
We present a simple and efficient phenomenological model for the twodimensional twopoint galaxy correlation function that works well over a wide range of scales, from large scales down to scales as small as 25 h^{1} Mpc. Our model incorporates nonlinear effects and a scaledependent galaxy bias on small scales, and it allows the redshiftspace distortions to be scale and direction dependent. We validate our model using LasDamas mock catalogues and apply it to the Sloan Digital Sky Survey (SDSS) Data Release Seven (DR7) luminous red galaxies (LRGs). Using only the monopole and quadrupole of the correlation function measured from the SDSS DR7 LRGs, we obtain improved measurements H(z)r_{s}(z_{d})/c = 0.0433 ± 0.0042, D_{A}(z)/r_{s}(z_{d}) = 6.59 ± 0.46 and f (z)σ_{8}(z) = 0.429 ± 0.089 at z = 0.35, using the scale range 25 < s < 120 h^{1} Mpc. We expect our results and model to be useful in tightening dark energy and gravity constraints from the full analysis of current and future galaxy clustering data.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 October 2013
 DOI:
 10.1093/mnras/stt1290
 arXiv:
 arXiv:1209.0210
 Bibcode:
 2013MNRAS.435..255C
 Keywords:

 cosmology: observations;
 distance scale;
 largescale structure of Universe;
 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 9 pages, 5 figures, accepted by MNRAS, the last version matches accepted one. arXiv admin note: substantial text overlap with arXiv:1205.5573, arXiv:1102.2251