2013/11/30 by Planck Collaboration, P. A. R. Ade, N. Aghanim +199 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Quantum Electrodynamics and Casimir Effect #Radio Astronomy Observations and Technology #astro-ph.CO
paper · pdf · doi:10.1051/0004-6361/201323003
published as A&A 566, A54 (2014) · Updated list of authors
arxiv created 2013/12/06 · openalex publication_date 2014/01/01 · arxiv updated 2014/06/23 · openalex created_date 2022/09/09 · openalex updated_date 2026/08/04
We explore the 2013 Planck likelihood function with a high-precision multi-dimensional minimizer (Minuit). This allows a refinement of the CDM best-fit solution with respect to previously-released results, and the construction of frequentist confidence intervals using profile likelihoods. The agreement with the cosmological results from the Bayesian framework is excellent, demonstrating the robustness of the Planck results to the statistical methodology. We investigate the inclusion of neutrino masses, where more significant differences may appear due to the non-Gaussian nature of the posterior mass distribution. By applying the Feldman-Cousins prescription, we again obtain results very similar to those of the Bayesian methodology. However, the profile-likelihood analysis of the cosmic microwave background (CMB) combination (Planck+WP+highL) reveals a minimum well within the unphysical negative-mass region. We show that inclusion of the Planck CMB-lensing information regularizes this issue, and provide a robust frequentist upper limit Ïmv â¤0:26 eV (95% confidence) from the CMB+lensing+BAO data combination. © ESO 2014.