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    Planck intermediate results XVI. Profile likelihoods for cosmological parameters


    Ade, P.A.R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A.J., Barreiro, R.B., Bartlett, J.G., Battaner, E., Benabed, K., Benoit-Lévy, A., Bernard, J.-P., Bersanelli, M., Bielewicz, P., Bobin, J., Bonaldi, A., Bond, J.R., Bouchet, F.R., Burigana, C., Cardoso, J.-F., Catalano, A., Chamballu, A., Chiang, H.C., Christensen, P.R., Clements, D.L., Colombi, S., Colombo, L.P.L., Couchot, F., Cuttaia, F., Danese, L., Davies, R.D., Davis, R.J., De Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Dickinson, C., Diego, J.M., Dole, H., Donzelli, S., Dore, O., Douspis, M., Dupac, X., Enßlin, T.A., Eriksen, H.K., Finelli, F., Forni, O., Frailis, M., Franceschi, E., Galeotta, S., Galli, S., Ganga, K., Giard, M., Giraud-Héraud, Y., Gonzalez-Nuevo, J., Gorski, K.M., Gregorio, A., Gruppuso, A., Hansen, F.K., Harrison, D., Henrot-Versille, S., Hernandez-Monteagudo, C., Herranz, D., Hildebrandt, S.R., Hivon, E., Hobson, M., Holmes, W.A., Hornstrup, A., Hovest, W., Huffenberger, K.M., Jaffe, A.H., Jaffe, T.R., Jones, W.C., Juvela, M., Keihanen, E., Keskitalo, R., Kisner, T.S., Kneissl, R., Knoche, J., Knox, L., Kunz, M., Kurki-Suonio, H., Lagache, G., Lahteenmaki, A., Lamarre, J.-M., Lasenby, A., Lawrence, C.R., Leonardi, R., Liddle, A., Liguori, M., Lilje, P.B., Linden-Vornle, M., Lopez-Caniego, M., Lubin, P.M., Macias-Perez, J.F., Maffei, B., Maino, D., Mandolesi, N., Maris, M., Martin, P.G., Martinez-Gonzalez, E., Masi, S., Massardi, M., Matarrese, S., Mazzotta, P., Melchiorri, A., Mendes, L., Mennella, A., Migliaccio, M., Mitra, S., Miville-Deschenes, M.-A., Moneti, A., Montier, L., Morgante, G., Munshi, D., Murphy, J.Anthony, Naselsky, P., Nati, F., Natoli, P., Noviello, F., Novikov, D., Novikov, I., Oxborrow, C.A., Pagano, L., Pajot, F., Paoletti, D., Pasian, F., Perdereau, O., Perotto, L., Perrotta, F., Pettorino, V., Piacentini, F., Piat, M., Pierpaoli, E., Pietrobon, D., Plaszczynski, S., Pointecouteau, E., Polenta, G., Popa, L., Pratt, G.W., Puget, J.-L., Rachen, J.P., Rebolo, R., Reinecke, M., Remazeilles, M., Renault, C., Ricciardi, S., Riller, T., Ristorcelli, I., Rocha, G., Rosset, C., Roudier, G., Rouillé d’Orfeuil, B., Rubino-Martin, J.A., Rusholme, B., Sandri, M., Savelainen, M., Savini, G., Spencer, L., Spinelli, S., Starck, J.-L., Sureau, F., Sutton, D., Suur-Uski, A.-S., Sygnet, J.-F., Tauber, J.A., Terenzi, L., Toffolatti, L., Tomasi, M., Tristram, M., Tucci, M., Umana, G., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Wade, L.A., Wandelt, B.D., White, M., Yvon, D., Zacchei, A. and Zonca, A. (2014) Planck intermediate results XVI. Profile likelihoods for cosmological parameters. Astronomy & Astrophysics, 566 (A54). ISSN 0004-6361

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    Abstract

    We explore the 2013 Planck likelihood function with a high-precision multi-dimensional minimizer (Minuit). This allows a refinement of the ΛCDM 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 ∑ mν ≤ 0.26 eV (95% confidence) from the CMB+lensing+BAO data combination.
    Item Type: Article
    Keywords: Planck Collaboration; cosmic background radiation; cosmology: observations; cosmology: theory; cosmological parameters; methods: statistical;
    Academic Unit: Faculty of Science and Engineering > Experimental Physics
    Item ID: 14166
    Identification Number: 10.1051/0004-6361/201323003
    Depositing User: Dr. Anthony Murphy
    Date Deposited: 11 Mar 2021 15:11
    Journal or Publication Title: Astronomy & Astrophysics
    Publisher: EDP Sciences
    Refereed: Yes
    Related URLs:
    URI: https://mural.maynoothuniversity.ie/id/eprint/14166
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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