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Planck 2013 results. XVI. Cosmological parameters (1303.5076v3)

Published 20 Mar 2013 in astro-ph.CO

Abstract: We present the first results based on Planck measurements of the CMB temperature and lensing-potential power spectra. The Planck spectra at high multipoles are extremely well described by the standard spatially-flat six-parameter LCDM cosmology. In this model Planck data determine the cosmological parameters to high precision. We find a low value of the Hubble constant, H0=67.3+/-1.2 km/s/Mpc and a high value of the matter density parameter, Omega_m=0.315+/-0.017 (+/-1 sigma errors) in excellent agreement with 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 present results from an analysis of extensions to the standard cosmology, using astrophysical data sets in addition to Planck and high-resolution CMB data. None of these models are favoured significantly over standard LCDM. The deviation of the scalar spectral index from unity is insensitive to the addition of tensor modes and to changes in the matter content of the Universe. We find a 95% upper limit of r<0.11 on the tensor-to-scalar ratio. There is no evidence for additional neutrino-like relativistic particles. Using BAO and CMB data, we find N_eff=3.30+/-0.27 for the effective number of relativistic degrees of freedom, and an upper limit of 0.23 eV for the summed neutrino mass. Our results are in excellent agreement with big bang nucleosynthesis and the standard value of N_eff=3.046. We find no evidence for dynamical dark energy. Despite the success of the standard LCDM model, this cosmology does not provide a good fit to the CMB power spectrum at low multipoles, as noted previously by the WMAP team. While not of decisive significance, this is an anomaly in an otherwise self-consistent analysis of the Planck temperature data.

Citations (4,324)

Summary

  • The paper presents high-precision measurements that refine the ΛCDM model with detailed analyses of cosmological parameters.
  • It employs rigorous statistical methods on Planck's full-sky CMB temperature and polarization data, supported by external datasets.
  • The results reveal a mild tension in Hubble constant values, prompting discussions on potential new physics beyond the standard model.

Insights into the Planck Collaboration's Cosmological Parameters Analysis

The paper presented by the Planck Collaboration provides an extensive analysis of cosmological parameters using data from the Planck satellite. This satellite is part of the European Space Agency's mission to map the anisotropies of the Cosmic Microwave Background (CMB) radiation. The analysis performed by this collaboration plays a pivotal role in informing and refining the ΛCDM model, which is the concordance model of Big Bang cosmology.

This comprehensive document undertakes a rigorous examination of the full-sky CMB observations captured by Planck. The paper outlines the methodology employed to extract cosmological parameters, such as the Hubble constant, baryon density, and dark matter density, among others. The use of high-precision CMB data from Planck enhances the robustness of these estimations, marking a significant advancement in our understanding of the Universe’s evolution and composition.

Data and Methodology

The paper articulates the methodology for analyzing the CMB power spectrum, specifically focusing on high-multipole ranges (high-ℓ), which are crucial for refining the understanding of the acoustic peaks and damping tail of the CMB anisotropies. It leverages a combination of Planck temperature and polarization data, supplemented by external datasets, including those from WMAP and SPT, to constrain the ΛCDM model.

To ensure robust parameter estimation, the paper utilizes a series of statistical tools and model comparisons. These include Bayesian evidence calculations and likelihood functions, essential for discerning the credibility and statistical significance of the derived cosmological parameters.

Results

Significant findings from this analysis include precise measurements of the Hubble constant (H₀) and the matter density parameters (Ω_m and Ω_b). Importantly, the Planck data supports a Hubble constant measurement that is in mild tension with local distance-ladder measurements, stimulating discussions on the possible requirements for new physics or interpretations within the ΛCDM framework.

Furthermore, the dark energy density and spectral index are scrutinized, providing tighter constraints that reaffirm the flatness of the Universe and support a cosmological constant as the driving force behind its accelerated expansion.

Implications and Future Directions

The implications of these findings are multifaceted, impacting both theoretical and experimental cosmology. On a theoretical level, the Planck dataset offers stringent tests on alternative cosmological models and inflationary scenarios, providing a rich ground for further theoretical exploration.

Practically, the results reaffirm the efficacy of the Planck satellite's instrumentation and data collection strategies, guiding future observational missions aiming to probe the early Universe with even greater precision. This research also flags the importance of resolving the existing discrepancies in H₀ measurements, which could signify the emergence of new physics beyond the current cosmological paradigm.

Future advancements might focus on integrating Planck data with upcoming observations from next-generation CMB experiments and surveys targeting large-scale cosmic structures, offering the potential to further refine cosmological models and solve prevailing tensions.

In concluding, the Planck Collaboration’s analysis stands as a testament to the profound insights that can be derived from meticulous CMB data analysis, consolidating the ΛCDM model while opening avenues for future cosmological inquiry.

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