Cosmological parameters from SDSS and WMAP

Max Tegmark(Massachusetts Institute of Technology), Michael A. Strauss(Princeton University), Michael R. Blanton(New York University), Kevork N. Abazajian(Los Alamos National Laboratory), Scott Dodelson(Fermi National Accelerator Laboratory), H. B. Sandvik(University of Pennsylvania), Xiaomin Wang(University of Pennsylvania), David H. Weinberg(The Ohio State University), Idit Zehavi(University of Arizona), Neta A. Bahcall(Princeton University), F. Hoyle(Drexel University), David J. Schlegel(Princeton University), Román Scoccimarro(New York University), Michael S. Vogeley(Drexel University), Andreas A. Berlind(University of Chicago), Tamás Budavári(Johns Hopkins University), Andrew J. Connolly(University of Pittsburgh), Daniel J. Eisenstein(University of Arizona), Douglas P. Finkbeiner(Princeton University), Joshua A. Frieman(Fermi National Accelerator Laboratory), James E. Gunn(Princeton University), Lam Hui(Fermi National Accelerator Laboratory), Bhuvnesh Jain(University of Pennsylvania), David Johnston(Fermi National Accelerator Laboratory), S. Kent(Fermi National Accelerator Laboratory), H. Lin(Fermi National Accelerator Laboratory), Reiko Nakajima(University of Pennsylvania), R. C. Nichol(Carnegie Mellon University), Jeremiah P. Ostriker(Princeton University), Adrian Pope(Johns Hopkins University), Ryan Scranton(University of Pittsburgh), Uroš Seljak(Princeton University), Ravi K. Sheth(University of Pittsburgh), Albert Stebbins(Fermi National Accelerator Laboratory), Alexander S. Szalay(Johns Hopkins University), István Szapudi(University of Hawaii System), Yongzhong Xu(Los Alamos National Laboratory), James Annis(Fermi National Accelerator Laboratory), J. Brinkmann, Scott Burles(Massachusetts Institute of Technology), F. J. Castander(Institut d'Estudis Espacials de Catalunya), István Csabai(Johns Hopkins University), J. Loveday(University of Sussex), Mamoru Doi(The University of Tokyo), M. Fukugita(The University of Tokyo), Bruce Gillespie, G. S. Hennessy(United States Naval Observatory), David W. Hogg(New York University), Željko Ivezić(Princeton University), G. R. Knapp(Princeton University), D. Q. Lamb(University of Chicago), Brian Lee(Fermi National Accelerator Laboratory), Robert H. Lupton(Princeton University), Timothy A. McKay(University of Michigan), Peter Kunszt(Johns Hopkins University), Jeffrey A. Munn(United States Naval Observatory), Liam O’Connell(University of Sussex), J. Peoples(Fermi National Accelerator Laboratory), Jeffrey R. Pier(United States Naval Observatory), M. Richmond(Rochester Institute of Technology), Constance M. Rockosi(University of Chicago), Donald P. Schneider(Pennsylvania State University), Christopher Stoughton(Fermi National Accelerator Laboratory), D. L. Tucker(Fermi National Accelerator Laboratory), D. E. vanden Berk(University of Pittsburgh), B. Yanny(Fermi National Accelerator Laboratory), Donald G. York(Fermi National Accelerator Laboratory)
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology
May 5, 2004
10.1103/physrevd.69.103501
Cited by 3,986Open Access
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Abstract

We measure cosmological parameters using the three-dimensional power spectrum $P(k)$ from over 200 000 galaxies in the Sloan Digital Sky Survey (SDSS) in combination with Wilkinson Microwave Anisotropy Probe (WMAP) and other data. Our results are consistent with a ``vanilla'' flat adiabatic cold dark matter model with a cosmological constant without tilt ${(n}_{s}=1),$ running tilt, tensor modes, or massive neutrinos. Adding SDSS information more than halves the WMAP-only error bars on some parameters, tightening $1\ensuremath{\sigma}$ constraints on the Hubble parameter from $h\ensuremath{\approx}{0.74}_{\ensuremath{-}0.07}^{+0.18}$ to $h\ensuremath{\approx}{0.70}_{\ensuremath{-}0.03}^{+0.04},$ on the matter density from ${\ensuremath{\Omega}}_{m}\ensuremath{\approx}0.25\ifmmode\pm\else\textpm\fi{}0.10$ to ${\ensuremath{\Omega}}_{m}\ensuremath{\approx}0.30\ifmmode\pm\else\textpm\fi{}0.04$ $(1\ensuremath{\sigma})$ and on neutrino masses from $<11$ to $<0.6\mathrm{eV}$ (95%). SDSS helps even more when dropping prior assumptions about curvature, neutrinos, tensor modes and the equation of state. Our results are in substantial agreement with the joint analysis of WMAP and the Two Degree Field Galaxy Redshift Survey, which is an impressive consistency check with independent redshift survey data and analysis techniques. In this paper, we place particular emphasis on clarifying the physical origin of the constraints, i.e., what we do and do not know when using different data sets and prior assumptions. For instance, dropping the assumption that space is perfectly flat, the WMAP-only constraint on the measured age of the Universe tightens from ${t}_{0}\ensuremath{\approx}{16.3}_{\ensuremath{-}1.8}^{+2.3}\mathrm{Gyr}$ to ${t}_{0}\ensuremath{\approx}{14.1}_{\ensuremath{-}0.9}^{+1.0}\mathrm{Gyr}$ by adding SDSS and SN Ia data. Including tensors, running tilt, neutrino mass and equation of state in the list of free parameters, many constraints are still quite weak, but future cosmological measurements from SDSS and other sources should allow these to be substantially tightened.

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