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Three-YearWilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology
D. N. Spergel,R. Bean,O. Doré,M. R. Nolta,C. L. Bennett,J. Dunkley,G. Hinshaw,N. Jarosik,E. Komatsu,L. Page
© 2007. The American Astronomical Society. All rights reserved. Printed in U.S.A.
The Astrophysical Journal Supplement Series,Volume 170,Number 2Citation D. N. Spergelet al 2007ApJS170 377DOI 10.1086/513700
D. N. Spergel
AFFILIATIONS
Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Visiting Scientist, Cerro-Tololo Inter-American Observatory
R. Bean
AFFILIATIONS
Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Cornell University, Ithaca, NY 14853
O. Doré
AFFILIATIONS
Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Canadian Institute for Theoretical Astrophysics, University of Toronto, ON M5S 3H8, Canada
M. R. Nolta
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Canadian Institute for Theoretical Astrophysics, University of Toronto, ON M5S 3H8, Canada
Department of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544-0708
C. L. Bennett
AFFILIATIONS
NASA Goddard Space Flight Center, Greenbelt, MD 20771
Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218-2686
J. Dunkley
AFFILIATIONS
Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Department of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544-0708
G. Hinshaw
AFFILIATIONS
NASA Goddard Space Flight Center, Greenbelt, MD 20771
N. Jarosik
AFFILIATIONS
Department of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544-0708
E. Komatsu
AFFILIATIONS
Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Department of Astronomy, University of Texas, Austin, TX
L. Page
AFFILIATIONS
Department of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544-0708
H. V. Peiris
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Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Deptartments of Astrophysics and Physics, KICP and EFI, University of Chicago, Chicago, IL 60637
Hubble Fellow
L. Verde
AFFILIATIONS
Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001
Department of Physics, University of Pennsylvania, Philadelphia, PA
M. Halpern
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Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
R. S. Hill
AFFILIATIONS
NASA Goddard Space Flight Center, Greenbelt, MD 20771
Science Systems and Applications, Inc. (SSAI), Lanham, MD 20706
A. Kogut
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NASA Goddard Space Flight Center, Greenbelt, MD 20771
M. Limon
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NASA Goddard Space Flight Center, Greenbelt, MD 20771
S. S. Meyer
AFFILIATIONS
Deptartments of Astrophysics and Physics, KICP and EFI, University of Chicago, Chicago, IL 60637
N. Odegard
AFFILIATIONS
NASA Goddard Space Flight Center, Greenbelt, MD 20771
Science Systems and Applications, Inc. (SSAI), Lanham, MD 20706
G. S. Tucker
AFFILIATIONS
Department of Physics, Brown University, Providence, RI 02912-1843
J. L. Weiland
AFFILIATIONS
NASA Goddard Space Flight Center, Greenbelt, MD 20771
Science Systems and Applications, Inc. (SSAI), Lanham, MD 20706
E. Wollack
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NASA Goddard Space Flight Center, Greenbelt, MD 20771
E. L. Wright
AFFILIATIONS
UCLA Astronomy, Los Angeles, CA 90095-1562
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- Received2006 March 16
- Accepted2007 January 12
Abstract
A simple cosmological model with only six parameters (matter density, Ωmh2, baryon density, Ωbh2, Hubble constant,H0, amplitude of fluctuations, σ8, optical depth, τ, and a slope for the scalar perturbation spectrum,ns) fits not only the 3 yearWMAP temperature and polarization data, but also small-scale CMB data, light element abundances, large-scale structure observations, and the supernova luminosity/distance relationship. UsingWMAP data only, the best-fit values for cosmological parameters for the power-law flat Λ cold dark matter (ΛCDM) model are (Ωmh2,Ωbh2,h,ns,τ,σ8) = (0.1277
,0.02229 ± 0.00073,0.732
,0.958 ± 0.016,0.089 ± 0.030,0.761
). The 3 year data dramatically shrink the allowed volume in this six-dimensional parameter space. Assuming that the primordial fluctuations are adiabatic with a power-law spectrum, theWMAP dataalone require dark matter and favor a spectral index that is significantly less than the Harrison-Zel'dovich-Peebles scale-invariant spectrum (ns = 1,r = 0). Adding additional data sets improves the constraints on these components and the spectral slope. For power-law models,WMAP data alone puts an improved upper limit on the tensor-to-scalar ratio,r0.002 < 0.65 (95% CL) and the combination ofWMAP and the lensing-normalized SDSS galaxy survey impliesr0.002 < 0.30 (95% CL). Models that suppress large-scale power through a running spectral index or a large-scale cutoff in the power spectrum are a better fit to theWMAP and small-scale CMB data than the power-law ΛCDM model; however, the improvement in the fit to theWMAP data is only Δχ2 = 3 for 1 extra degree of freedom. Models with a running-spectral index are consistent with a higher amplitude of gravity waves. In a flat universe, the combination ofWMAP and the Supernova Legacy Survey (SNLS) data yields a significant constraint on the equation of state of the dark energy,w = -0.967
. If we assumew = -1, then the deviations from the critical density, ΩK, are small: the combination ofWMAP and the SNLS data implies Ωk = -0.011 ± 0.012. The combination ofWMAP 3 year data plus theHST Key Project constraint onH0 implies Ωk = -0.014 ± 0.017 and ΩΛ = 0.716 ± 0.055. Even if we do not include the prior that the universe is flat, by combiningWMAP, large-scale structure, and supernova data, we can still put a strong constraint on the dark energy equation of state,w = -1.08 ± 0.12. For a flat universe, the combination ofWMAP and other astronomical data yield a constraint on the sum of the neutrino masses,
mν < 0.66 eV (95%CL). Consistent with the predictions of simple inflationary theories, we detect no significant deviations from Gaussianity in the CMB maps using Minkowski functionals, the bispectrum, trispectrum, and a new statistic designed to detect large-scale anisotropies in the fluctuations.
