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The Three‐Dimensional Power Spectrum of Galaxies from the Sloan Digital Sky Survey

Max TegmarkDepartment of Physics, University of Pennsylvania, Philadelphia, PA 19104Michael R. BlantonCenter for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, NY 10003Michael A. StraussPrinceton University Observatory, Princeton, NJ 08544F. HoyleDepartment of Physics, Drexel University, Philadelphia, PA 19104David J. SchlegelPrinceton University Observatory, Princeton, NJ 08544Román ScoccimarroCenter for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, NY 10003Michael S. VogeleyDepartment of Physics, Drexel University, Philadelphia, PA 19104David H. WeinbergDepartment of Astronomy, Ohio State University, Columbus, OH 43210Idit ZehaviCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637Andreas A. BerlindCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637Tamás BudaváriDepartment of Physics and Astronomy, Johns Hopkins University, 3701 San Martin Drive, Baltimore, MD 21218Andrew J. ConnollyUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, PA 15260Daniel J. EisensteinDepartment of Astronomy, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721Douglas P. FinkbeinerPrinceton University Observatory, Princeton, NJ 08544Joshua A. FriemanCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637James E. GunnPrinceton University Observatory, Princeton, NJ 08544A. HamiltonJILA and Department of Astrophysical and Planetary Sciences, University of Colorado, Boulder, CO 80309Lam HuiFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Bhuvnesh JainDepartment of Physics, University of Pennsylvania, Philadelphia, PA 19104David JohnstonCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637S. KentFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510H. LinFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Reiko NakajimaDepartment of Physics, University of Pennsylvania, Philadelphia, PA 19104Robert C. NicholDepartment of Physics, 5000 Forbes Avenue, Carnegie Mellon University, Pittsburgh, PA 15213Jeremiah P. OstrikerPrinceton University Observatory, Princeton, NJ 08544Adrian PopeDepartment of Physics and Astronomy, Johns Hopkins University, 3701 San Martin Drive, Baltimore, MD 21218Ryan ScrantonUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, PA 15260Uroš SeljakPrinceton University Observatory, Princeton, NJ 08544Ravi K. ShethUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, PA 15260Albert StebbinsFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Alexander S. SzalayDepartment of Physics and Astronomy, Johns Hopkins University, 3701 San Martin Drive, Baltimore, MD 21218I. SzapudiInstitute for Astronomy, University of Hawaii, 2680 Woodlawn Drive, Honolulu, HI 96822Licia VerdePrinceton University Observatory, Princeton, NJ 08544Yongzhong XuDepartment of Physics, University of Pennsylvania, Philadelphia, PA 19104James AnnisFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Neta A. BahcallPrinceton University Observatory, Princeton, NJ 08544J. BrinkmannScott BurlesDepartment of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139F. J. CastanderInstitut d’Estudis Espacials de Catalunya/CSIC, Gran Capita 2-4, 08034 Barcelona, SpainIstván CsabaiDepartment of Physics and Astronomy, Johns Hopkins University, 3701 San Martin Drive, Baltimore, MD 21218J. LovedaySussex Astronomy Centre, University of Sussex, Falmer, Brighton BN1 9QJ, UKMamoru DoiInstitute of Astronomy, University of Tokyo, Kashiwa 277-8582, JapanM. FukugitaInstitute of Astronomy, University of Tokyo, Kashiwa 277-8582, JapanJ. Richard GottPrinceton University Observatory, Princeton, NJ 08544G. S. HennessyUS Naval Observatory, Flagstaff Station, Flagstaff, AZ 86002-1149David W. HoggCenter for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, NY 10003Željko IvezićPrinceton University Observatory, Princeton, NJ 08544G. R. KnappPrinceton University Observatory, Princeton, NJ 08544D. Q. LambCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637Brian LeeFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Robert H. LuptonPrinceton University Observatory, Princeton, NJ 08544Timothy A. McKayDepartment of Physics, University of Michigan, Ann Arbor, MI 48109-1120Peter KunsztDepartment of Physics and Astronomy, Johns Hopkins University, 3701 San Martin Drive, Baltimore, MD 21218Jeffrey A. MunnUS Naval Observatory, Flagstaff Station, Flagstaff, AZ 86002-1149Liam O’ConnellSussex Astronomy Centre, University of Sussex, Falmer, Brighton BN1 9QJ, UKJ. PeoplesFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Jeffrey R. PierUS Naval Observatory, Flagstaff Station, Flagstaff, AZ 86002-1149M. RichmondPhysics Department, Rochester Institute of Technology, 1 Lomb Memorial Drive, Rochester, NY 14623Constance M. RockosiCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637Donald P. SchneiderDepartment of Astronomy and Astrophysics, Pennsylvania State University, University Park, PA 16802Christopher StoughtonFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510D. L. TuckerFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510D. E. vanden BerkUniversity of Pittsburgh, Department of Physics and Astronomy, 3941 O’Hara Street, Pittsburgh, PA 15260B. YannyFermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL 60510Donald G. YorkCenter for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637
2004en
ABI

Аннотация

We measure the large-scale real-space power spectrum P(k) by using a sample of 205,443 galaxies from the Sloan Digital Sky Survey, covering 2417 effective square degrees with mean redshift z = 0.1. We employ a matrix-based method using pseudo-Karhunen-Loeve eigenmodes, producing uncorrelated minimum-variance measurements in 22 k-bands of both the clustering power and its anisotropy due to redshift-space distortions with narrow and well-behaved window functions in the range 0.02 h/Mpc < k < 0.3 h /Mpc. We pay particular attention to modeling, quantifying, and correcting for potential systematic errors, nonlinear redshift distortions, and the artificial red-tilt caused by luminosity-dependent bias. Our results are robust to omitting angular and radial density fluctuations and are consistent between different parts of the sky. Our final result is a measurement of the real-space matter power spectrum P(k) up to an unknown overall multiplicative bias factor. Our calculations suggest that this bias factor is independent of scale to better than a few percent for k < 0.1 h/Mpc, thereby making out results useful for precision measurements of cosmological parameters in conjunction with data from other experiments such as the Wilkinson Microwave Anisotropy Probe satellite. The power spectrum is not well-characterized by a single power law but unambiguously shows curvature. As a simple characterization of the data, our measurements are well fitted by a flat scale-invariant adiabatic cosmological model with h Omega (sub m) = 0.213 +/- 0.023 and sigma (sub 8) = 0.89 +/- 0.02 for L(sub *) galaxies, when fixing the baryon fraction Omega (sub b)/Omega (sub m) - 0.17 and the Hubble parameter h = 0.72; cosmological interpretation is given in a companion paper.

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