Planck intermediate results: XVI. Profile likelihoods for cosmological parameters

Research output: Contribution to journalJournal article – Annual report year: 2014Researchpeer-review

  • Author: Bartlett, J. G.

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    IT-Department, Astrophysics, National Space Institute, Technical University of Denmark, Elektrovej, 2800, Kgs. Lyngby, Denmark

  • Author: Linden-Vørnle, Michael

    National Space Institute, Technical University of Denmark, Centrifugevej, 2800, Kgs. Lyngby, Denmark

  • Author: Oxborrow, Carol Anne

    Astrophysics, National Space Institute, Technical University of Denmark, Elektrovej, 2800, Kgs. Lyngby, Denmark

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  • Author: Couchot, F.

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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 σmv ≤0:26 eV (95% confidence) from the CMB+lensing+BAO data combination. © ESO 2014.
Original languageEnglish
Article numberA54
JournalAstronomy and Astrophysics
Number of pages10
Publication statusPublished - 2014
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • astro-ph.CO, Cosmic background radiation, Cosmological parameters, Cosmology: observations, Cosmology: theory, Methods: statistical, Cosmic ray measurement, Statistical methods, Cosmology: observation, Methods:statistical, Cosmology
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