📄 Nine-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: C…

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Hinshaw, G. et al. (2013) · The Astrophysical Journal Supplement Series
Reads: 483 · Citations: 5494
DOI: 10.1088/0067-0049/208/2/19

🔗 https://ui.adsabs.harvard.edu/abs/2013ApJS..208...19H/abstract

#Astronomy #Astrophysics #Cosmology #CosmicBackgroundRadiation #CosmologyObservations

Nine-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results

We present cosmological parameter constraints based on the final nine-year Wilkinson Microwave Anisotropy Probe (WMAP) data, in conjunction with a number of additional cosmological data sets. The WMAP data alone, and in combination, continue to be remarkably well fit by a six-parameter ΛCDM model. When WMAP data are combined with measurements of the high-l cosmic microwave background anisotropy, the baryon acoustic oscillation scale, and the Hubble constant, the matter and energy densities, Ω<SUB> b </SUB> h <SUP>2</SUP>, Ω<SUB> c </SUB> h <SUP>2</SUP>, and Ω<SUB>Λ</SUB>, are each determined to a precision of ~1.5%. The amplitude of the primordial spectrum is measured to within 3%, and there is now evidence for a tilt in the primordial spectrum at the 5σ level, confirming the first detection of tilt based on the five-year WMAP data. At the end of the WMAP mission, the nine-year data decrease the allowable volume of the six-dimensional ΛCDM parameter space by a factor of 68,000 relative to pre-WMAP measurements. We investigate a number of data combinations and show that their ΛCDM parameter fits are consistent. New limits on deviations from the six-parameter model are presented, for example: the fractional contribution of tensor modes is limited to r < 0.13 (95% CL); the spatial curvature parameter is limited to \Omega _k = -0.0027^{+ 0.0039}_{- 0.0038}; the summed mass of neutrinos is limited to ∑m <SUB>ν</SUB> < 0.44 eV (95% CL); and the number of relativistic species is found to lie within N <SUB>eff</SUB> = 3.84 ± 0.40, when the full data are analyzed. The joint constraint on N <SUB>eff</SUB> and the primordial helium abundance, Y <SUB>He</SUB>, agrees with the prediction of standard big bang nucleosynthesis. We compare recent Planck measurements of the Sunyaev-Zel'dovich effect with our seven-year measurements, and show their mutual agreement. Our analysis of the polarization pattern around temperature extrema is updated. This confirms a fundamental prediction of the standard cosmological model and provides a striking illustration of acoustic oscillations and adiabatic initial conditions in the early universe.

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📄 Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: …

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Komatsu, E. et al. (2011) · The Astrophysical Journal Supplement Series
Reads: 451 · Citations: 8297
DOI: 10.1088/0067-0049/192/2/18

🔗 https://ui.adsabs.harvard.edu/abs/2011ApJS..192...18K/abstract

#Astronomy #Astrophysics #Cosmology #CosmicBackgroundRadiation #CosmologyObservations

Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation

The combination of seven-year data from WMAP and improved astrophysical data rigorously tests the standard cosmological model and places new constraints on its basic parameters and extensions. By combining the WMAP data with the latest distance measurements from the baryon acoustic oscillations (BAO) in the distribution of galaxies and the Hubble constant (H <SUB>0</SUB>) measurement, we determine the parameters of the simplest six-parameter ΛCDM model. The power-law index of the primordial power spectrum is n<SUB>s</SUB> = 0.968 ± 0.012 (68% CL) for this data combination, a measurement that excludes the Harrison-Zel'dovich-Peebles spectrum by 99.5% CL. The other parameters, including those beyond the minimal set, are also consistent with, and improved from, the five-year results. We find no convincing deviations from the minimal model. The seven-year temperature power spectrum gives a better determination of the third acoustic peak, which results in a better determination of the redshift of the matter-radiation equality epoch. Notable examples of improved parameters are the total mass of neutrinos, ∑m <SUB>ν</SUB> < 0.58 eV(95%CL), and the effective number of neutrino species, N <SUB>eff</SUB> = 4.34<SUP>+0.86</SUP> <SUB>-0.88</SUB> (68% CL), which benefit from better determinations of the third peak and H <SUB>0</SUB>. The limit on a constant dark energy equation of state parameter from WMAP+BAO+H <SUB>0</SUB>, without high-redshift Type Ia supernovae, is w = -1.10 ± 0.14 (68% CL). We detect the effect of primordial helium on the temperature power spectrum and provide a new test of big bang nucleosynthesis by measuring Y<SUB>p</SUB> = 0.326 ± 0.075 (68% CL). We detect, and show on the map for the first time, the tangential and radial polarization patterns around hot and cold spots of temperature fluctuations, an important test of physical processes at z = 1090 and the dominance of adiabatic scalar fluctuations. The seven-year polarization data have significantly improved: we now detect the temperature-E-mode polarization cross power spectrum at 21σ, compared with 13σ from the five-year data. With the seven-year temperature-B-mode cross power spectrum, the limit on a rotation of the polarization plane due to potential parity-violating effects has improved by 38% to Δ α =-1.1± 1.4° statistical ± 1.5 systematic (68% CL). We report significant detections of the Sunyaev-Zel'dovich (SZ) effect at the locations of known clusters of galaxies. The measured SZ signal agrees well with the expected signal from the X-ray data on a cluster-by-cluster basis. However, it is a factor of 0.5-0.7 times the predictions from "universal profile" of Arnaud et al., analytical models, and hydrodynamical simulations. We find, for the first time in the SZ effect, a significant difference between the cooling-flow and non-cooling-flow clusters (or relaxed and non-relaxed clusters), which can explain some of the discrepancy. This lower amplitude is consistent with the lower-than-theoretically expected SZ power spectrum recently measured by the South Pole Telescope Collaboration. <P />WMAP is the result of a partnership between Princeton University and NASA's Goddard Space Flight Center. Scientific guidance is provided by the WMAP Science Team.

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📄 Planck 2013 results. XVI. Cosmological parameters

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Planck Collaboration et al. (2014) · Astronomy and Astrophysics
Reads: 1097 · Citations: 8359
DOI: 10.1051/0004-6361/201321591

🔗 https://ui.adsabs.harvard.edu/abs/2014A&A...571A..16P/abstract

#Astronomy #Astrophysics #Cosmology #CosmicBackgroundRadiation #CosmologicalParameters

Planck 2013 results. XVI. Cosmological parameters

This paper presents the first cosmological results based on Planck measurements of the cosmic microwave background (CMB) temperature and lensing-potential power spectra. We find that the Planck spectra at high multipoles (ℓ ≳ 40) are extremely well described by the standard spatially-flat six-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations. Within the context of this cosmology, the Planck data determine the cosmological parameters to high precision: the angular size of the sound horizon at recombination, the physical densities of baryons and cold dark matter, and the scalar spectral index are estimated to be θ<SUB>∗</SUB> = (1.04147 ± 0.00062) × 10<SUP>-2</SUP>, Ω<SUB>b</SUB>h<SUP>2</SUP> = 0.02205 ± 0.00028, Ω<SUB>c</SUB>h<SUP>2</SUP> = 0.1199 ± 0.0027, and n<SUB>s</SUB> = 0.9603 ± 0.0073, respectively(note that in this abstract we quote 68% errors on measured parameters and 95% upper limits on other parameters). For this cosmology, we find a low value of the Hubble constant, H<SUB>0</SUB> = (67.3 ± 1.2) km s<SUP>-1</SUP> Mpc<SUP>-1</SUP>, and a high value of the matter density parameter, Ω<SUB>m</SUB> = 0.315 ± 0.017. These values are in tension with recent direct measurements of H<SUB>0</SUB> and the magnitude-redshift relation for Type Ia supernovae, but are in excellent agreement with geometrical constraints from baryon acoustic oscillation (BAO) surveys. Including curvature, we find that the Universe is consistent with spatial flatness to percent level precision using Planck CMB data alone. We use high-resolution CMB data together with Planck to provide greater control on extragalactic foreground components in an investigation of extensions to the six-parameter ΛCDM model. We present selected results from a large grid of cosmological models, using a range of additional astrophysical data sets in addition to Planck and high-resolution CMB data. None of these models are favoured over the standard six-parameter ΛCDM cosmology. The deviation of the scalar spectral index from unity isinsensitive to the addition of tensor modes and to changes in the matter content of the Universe. We find an upper limit of r<SUB>0.002</SUB>< 0.11 on the tensor-to-scalar ratio. There is no evidence for additional neutrino-like relativistic particles beyond the three families of neutrinos in the standard model. Using BAO and CMB data, we find N<SUB>eff</SUB> = 3.30 ± 0.27 for the effective number of relativistic degrees of freedom, and an upper limit of 0.23 eV for the sum of neutrino masses. Our results are in excellent agreement with big bang nucleosynthesis and the standard value of N<SUB>eff</SUB> = 3.046. We find no evidence for dynamical dark energy; using BAO and CMB data, the dark energy equation of state parameter is constrained to be w = -1.13<SUB>-0.10</SUB><SUP>+0.13</SUP>. We also use the Planck data to set limits on a possible variation of the fine-structure constant, dark matter annihilation and primordial magnetic fields. Despite the success of the six-parameter ΛCDM model in describing the Planck data at high multipoles, we note that this cosmology does not provide a good fit to the temperature power spectrum at low multipoles. The unusual shape of the spectrum in the multipole range 20 ≲ ℓ ≲ 40 was seen previously in the WMAP data and is a real feature of the primordial CMB anisotropies. The poor fit to the spectrum at low multipoles is not of decisive significance, but is an "anomaly" in an otherwise self-consistent analysis of the Planck temperature data.

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📄 Planck 2018 results. VI. Cosmological parameters

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Planck Collaboration et al. (2020) · Astronomy and Astrophysics
Reads: 10435 · Citations: 17687
DOI: 10.1051/0004-6361/201833910

🔗 https://ui.adsabs.harvard.edu/abs/2020A&A...641A...6P/abstract

#Astronomy #Astrophysics #Cosmology #CosmicBackgroundRadiation #CosmologicalParameters

Planck 2018 results. VI. Cosmological parameters

We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information from the temperature and polarization maps and the lensing reconstruction. Compared to the 2015 results, improved measurements of large-scale polarization allow the reionization optical depth to be measured with higher precision, leading to significant gains in the precision of other correlated parameters. Improved modelling of the small-scale polarization leads to more robust constraints on many parameters, with residual modelling uncertainties estimated to affect them only at the 0.5σ level. We find good consistency with the standard spatially-flat 6-parameter ΛCDM cosmology having a power-law spectrum of adiabatic scalar perturbations (denoted "base ΛCDM" in this paper), from polarization, temperature, and lensing, separately and in combination. A combined analysis gives dark matter density Ω<SUB>c</SUB>h<SUP>2</SUP> = 0.120 ± 0.001, baryon density Ω<SUB>b</SUB>h<SUP>2</SUP> = 0.0224 ± 0.0001, scalar spectral index n<SUB>s</SUB> = 0.965 ± 0.004, and optical depth τ = 0.054 ± 0.007 (in this abstract we quote 68% confidence regions on measured parameters and 95% on upper limits). The angular acoustic scale is measured to 0.03% precision, with 100θ<SUB>*</SUB> = 1.0411 ± 0.0003. These results are only weakly dependent on the cosmological model and remain stable, with somewhat increased errors, in many commonly considered extensions. Assuming the base-ΛCDM cosmology, the inferred (model-dependent) late-Universe parameters are: Hubble constant H<SUB>0</SUB> = (67.4 ± 0.5) km s<SUP>-1</SUP> Mpc<SUP>-1</SUP>; matter density parameter Ω<SUB>m</SUB> = 0.315 ± 0.007; and matter fluctuation amplitude σ<SUB>8</SUB> = 0.811 ± 0.006. We find no compelling evidence for extensions to the base-ΛCDM model. Combining with baryon acoustic oscillation (BAO) measurements (and considering single-parameter extensions) we constrain the effective extra relativistic degrees of freedom to be N<SUB>eff</SUB> = 2.99 ± 0.17, in agreement with the Standard Model prediction N<SUB>eff</SUB> = 3.046, and find that the neutrino mass is tightly constrained to ∑m<SUB>ν</SUB> < 0.12 eV. The CMB spectra continue to prefer higher lensing amplitudes than predicted in base ΛCDM at over 2σ, which pulls some parameters that affect the lensing amplitude away from the ΛCDM model; however, this is not supported by the lensing reconstruction or (in models that also change the background geometry) BAO data. The joint constraint with BAO measurements on spatial curvature is consistent with a flat universe, Ω<SUB>K</SUB> = 0.001 ± 0.002. Also combining with Type Ia supernovae (SNe), the dark-energy equation of state parameter is measured to be w<SUB>0</SUB> = -1.03 ± 0.03, consistent with a cosmological constant. We find no evidence for deviations from a purely power-law primordial spectrum, and combining with data from BAO, BICEP2, and Keck Array data, we place a limit on the tensor-to-scalar ratio r<SUB>0.002</SUB> < 0.06. Standard big-bang nucleosynthesis predictions for the helium and deuterium abundances for the base-ΛCDM cosmology are in excellent agreement with observations. The Planck base-ΛCDM results are in good agreement with BAO, SNe, and some galaxy lensing observations, but in slight tension with the Dark Energy Survey's combined-probe results including galaxy clustering (which prefers lower fluctuation amplitudes or matter density parameters), and in significant, 3.6σ, tension with local measurements of the Hubble constant (which prefer a higher value). Simple model extensions that can partially resolve these tensions are not favoured by the Planck data.

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More Evidence for the Gravitational Wave Background of the Universe

The gravitational wave background was first detected in 2016. It was announced following the release of the first data set from the European Pulsar Timing Array. A second set of data has just been released and, joined by the Indian Pulsar Timing Array, both studies confirm the existence of the background. The latest theory seems … Continue reading "More Evidence for the Gravitational Wave Background of the Universe"

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