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Cosmological parameters from SDSS and WMAP

Max TegmarkDepartment of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAMichael A. StraussPrinceton University Observatory, Princeton, New Jersey 08544, USAMichael R. BlantonCenter for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USAKevork N. AbazajianTheoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USAScott DodelsonCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USAH. B. SandvikDepartment of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USAXiaomin WangDepartment of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USADavid H. WeinbergDepartment of Astronomy, Ohio State University, Columbus, Ohio 43210, USAIdit ZehaviDepartment of Astronomy, University of Arizona, Tucson, Arizona 85721, USANeta A. BahcallPrinceton University Observatory, Princeton, New Jersey 08544, USAF. HoyleDepartment of Physics, Drexel University, Philadelphia, Pennsylvania 19104, USADavid J. SchlegelPrinceton University Observatory, Princeton, New Jersey 08544, USARomán ScoccimarroCenter for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USAMichael S. VogeleyDepartment of Physics, Drexel University, Philadelphia, Pennsylvania 19104, USAAndreas A. BerlindCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USATamás BudaváriDepartment of Physics and Astronomy, The Johns Hopkins University, 3701 San Martin Drive, Baltimore, Maryland 21218, USAAndrew J. ConnollyUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, Pennsylvania 15260, USADaniel J. EisensteinDepartment of Astronomy, University of Arizona, Tucson, Arizona 85721, USADouglas P. FinkbeinerPrinceton University Observatory, Princeton, New Jersey 08544, USAJoshua A. FriemanCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USAJames E. GunnPrinceton University Observatory, Princeton, New Jersey 08544, USALam HuiFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USABhuvnesh JainDepartment of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USADavid JohnstonCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USAS. KentFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAH. LinFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAReiko NakajimaDepartment of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USAR. C. NicholDepartment of Physics, 5000 Forbes Avenue, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USAJeremiah P. OstrikerPrinceton University Observatory, Princeton, New Jersey 08544, USAAdrian PopeDepartment of Physics and Astronomy, The Johns Hopkins University, 3701 San Martin Drive, Baltimore, Maryland 21218, USARyan ScrantonUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, Pennsylvania 15260, USAUroš SeljakPrinceton University Observatory, Princeton, New Jersey 08544, USARavi K. ShethUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, Pennsylvania 15260, USAAlbert StebbinsFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAAlexander S. SzalayDepartment of Physics and Astronomy, The Johns Hopkins University, 3701 San Martin Drive, Baltimore, Maryland 21218, USAI. SzapudiInstitute for Astronomy, University of Hawaii, 2680 Woodlawn Drive, Honolulu, Hawaii 96822, USAYongzhong XuTheoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USAJames AnnisFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAJ. BrinkmannScott BurlesDepartment of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAF. J. CastanderInstitut d’Estudis Espacials de Catalunya/CSIC, Gran Capita 2-4, 08034 Barcelona, SpainIstván CsabaiDepartment of Physics and Astronomy, The Johns Hopkins University, 3701 San Martin Drive, Baltimore, Maryland 21218, USAJ. LovedaySussex Astronomy Centre, University of Sussex, Falmer, Brighton BN1 9QJ, United KingdomMamoru DoiInstitute of Astronomy, University of Tokyo, Kashiwa 277-8582, JapanM. FukugitaInstitute of Astronomy, University of Tokyo, Kashiwa 277-8582, JapanBruce GillespieG. S. HennessyU.S. Naval Observatory, Flagstaff Station, Flagstaff, Arizona 86002-1149, USADavid W. HoggCenter for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USAŽeljko IvezićPrinceton University Observatory, Princeton, New Jersey 08544, USAG. R. KnappPrinceton University Observatory, Princeton, New Jersey 08544, USAD. Q. LambCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USABrian LeeFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USARobert H. LuptonPrinceton University Observatory, Princeton, New Jersey 08544, USATimothy A. McKayDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120, USAPeter KunsztDepartment of Physics and Astronomy, The Johns Hopkins University, 3701 San Martin Drive, Baltimore, Maryland 21218, USAJeffrey A. MunnU.S. Naval Observatory, Flagstaff Station, Flagstaff, Arizona 86002-1149, USALiam O’ConnellSussex Astronomy Centre, University of Sussex, Falmer, Brighton BN1 9QJ, United KingdomJ. PeoplesFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAJeffrey R. PierU.S. Naval Observatory, Flagstaff Station, Flagstaff, Arizona 86002-1149, USAM. RichmondPhysics Department, Rochester Institute of Technology, 1 Lomb Memorial Drive, Rochester, New York 14623, USAConstance M. RockosiCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USADonald P. SchneiderDepartment of Astronomy and Astrophysics, Pennsylvania State University, University Park, Pennsylvania 16802, USAChristopher StoughtonFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAD. L. TuckerFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USAD. E. vanden BerkUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, Pennsylvania 15260, USAB. YannyFermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USADonald G. YorkCenter for Cosmological Physics and Department of Astronomy & Astrophysics, University of Chicago, Chicago, Illinois 60637, USA
2004en
ABI

Annotatsiya

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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