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 Lambda-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 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 ( confidence) from the CMB+lensing+BAO data combination.
Cite
@article{arxiv.1311.1657,
title = {Planck intermediate results. XVI. Profile likelihoods for cosmological parameters},
author = {Planck Collaboration and P. A. R. Ade and N. Aghanim and M. Arnaud and M. Ashdown and J. Aumont and C. Baccigalupi and A. J. Banday and R. B. Barreiro and J. G. Bartlett and E. Battaner and K. Benabed and A. Benoit-Lévy and J. -P. Bernard and M. Bersanelli and P. Bielewicz and J. Bobin and A. Bonaldi and J. R. Bond and F. R. Bouchet and C. Burigana and J. -F. Cardoso and A. Catalano and A. Chamballu and H. C. Chiang and P. R. Christensen and D. L. Clements and S. Colombi and L. P. L. Colombo and F. Couchot and F. Cuttaia and L. Danese and R. J. Davis and P. de Bernardis and A. de Rosa and G. de Zotti and J. Delabrouille and C. Dickinson and J. M. Diego and H. Dole and S. Donzelli and O. Doré and M. Douspis and X. Dupac and T. A. Enßlin and H. K. Eriksen and F. Finelli and O. Forni and M. Frailis and E. Franceschi and S. Galeotta and S. Galli and K. Ganga and M. Giard and Y. Giraud-Héraud and J. González-Nuevo and K. M. Górski and A. Gregorio and A. Gruppuso and F. K. Hansen and D. Harrison and S. Henrot-Versillé and C. Hernández-Monteagudo and D. Herranz and S. R. Hildebrandt and E. Hivon and M. Hobson and W. A. Holmes and A. Hornstrup and W. Hovest and K. M. Huffenberger and A. H. Jaffe and T. R. Jaffe and W. C. Jones and M. Juvela and E. Keihänen and R. Keskitalo and T. S. Kisner and R. Kneissl and J. Knoche and L. Knox and M. Kunz and H. Kurki-Suonio and G. Lagache and A. Lähteenmäki and J. -M. Lamarre and A. Lasenby and R. Leonardi and A. Liddle and M. Liguori and P. B. Lilje and M. Linden-Vørnle and M. López-Caniego and P. M. Lubin and J. F. Macías-Pérez and B. Maffei and D. Maino and N. Mandolesi and M. Maris and P. G. Martin and E. Martínez-González and S. Masi and M. Massardi and S. Matarrese and P. Mazzotta and A. Melchiorri and L. Mendes and A. Mennella and M. Migliaccio and S. Mitra and M. -A. Miville-Deschênes and A. Moneti and L. Montier and G. Morgante and D. Munshi and J. A. Murphy and P. Naselsky and F. Nati and P. Natoli and F. Noviello and D. Novikov and I. Novikov and C. A. Oxborrow and L. Pagano and F. Pajot and D. Paoletti and F. Pasian and O. Perdereau and L. Perotto and F. Perrotta and V. Pettorino and F. Piacentini and M. Piat and E. Pierpaoli and D. Pietrobon and S. Plaszczynski and E. Pointecouteau and G. Polenta and L. Popa and G. W. Pratt and J. -L. Puget and J. P. Rachen and R. Rebolo and M. Reinecke and M. Remazeilles and C. Renault and S. Ricciardi and T. Riller and I. Ristorcelli and G. Rocha and C. Rosset and G. Roudier and B. Rouillé d'Orfeuil and J. A. Rubiño-Martín and B. Rusholme and M. Sandri and M. Savelainen and G. Savini and L. D. Spencer and M. Spinelli and J. -L. Starck and F. Sureau and D. Sutton and A. -S. Suur-Uski and J. -F. Sygnet and J. A. Tauber and L. Terenzi and L. Toffolatti and M. Tomasi and M. Tristram and M. Tucci and G. Umana and L. Valenziano and J. Valiviita and B. Van Tent and P. Vielva and F. Villa and L. A. Wade and B. D. Wandelt and M. White and D. Yvon and A. Zacchei and A. Zonca},
journal= {arXiv preprint arXiv:1311.1657},
year = {2014}
}
Comments
Updated list of authors