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Planck intermediate results XVI. Profile likelihoods for cosmological parameters

Abstract: 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 ? m? = 0.26 eV (95% confidence) from the CMB+lensing+BAO data combination.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Astronomy & Astrophysics, 2014, 566, A54

Editorial: EDP Sciences

 Fecha de publicación: 01/06/2014

Nº de páginas: 10

Tipo de publicación: Artículo de Revista

 DOI: 10.1051/0004-6361/201323003

ISSN: 0004-6361,1432-0746

Url de la publicación: https://doi.org/10.1051/0004-6361/201323003

Autores/as

JOAQUIN GONZALEZ-NUEVO GONZALEZ

MARCOS LOPEZ-CANIEGO ALCARRIA

LUIGI TOFFOLATTI