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Planck intermediate results XVI. Profile likelihoods for cosmological parameters

Author(s): Planck Collaboration; Ade, PAR; Aghanim, N; Arnaud, M; Ashdown, M; et al

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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 ACDM 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 Sigma m(v) <= 0.26 eV (95% confidence) from the CMB+lensing+BAO data combination.
Publication Date: 11-Jun-2014
Electronic Publication Date: Jun-2014
Citation: Planck Collaboration, Ade, PAR, Aghanim, N, Arnaud, M, Ashdown, M, Aumont, J, Baccigalupi, C, Banday, AJ, Barreiro, RB, Bartlett, JG, Battaner, E, Benabed, K, Benoit-Levy, A, Bernard, JP, Bersanelli, M, Bielewicz, P, Bobin, J, Bonaldi, A, Bond, JR, Bouchet, FR, Burigana, C, Cardoso, JF, Catalano, A, Chamballu, A, Chiang, HC, Christensen, PR, Clements, DL, Colombi, S, Colombo, LPL, Couchot, F, Cuttaia, F, Danese, L, Davies, RD, Davis, RJ, de Bernardis, P, de Rosa, A, de Zotti, G, Delabrouille, J, Dickinson, C, Diego, JM, Dole, H, Donzelli, S, Dore, O, Douspis, M, Dupac, X, Ensslin, TA, Eriksen, HK, Finelli, F, Forni, O, Frailis, M, Franceschi, E, Galeotta, S, Galli, S, Ganga, K, Giard, M, Giraud-Heraud, Y, Gonzalez-Nuevo, J, Gorski, KM, Gregorio, A, Gruppuso, A, Hansen, FK, Harrison, DL, Henrot-Versille, S, Hernandez-Monteagudo, C, Herranz, D, Hildebrandt, SR, Hivon, E, Hobson, M, Holmes, WA, Hornstrup, A, Hovest, W, Huffenberger, KM, Jaffe, AH, Jaffe, TR, Jones, WC, Juvela, M, Keihanen, E, Keskitalo, R, Kisner, TS, Kneissl, R, Knoche, J, Knox, L, Kunz, M, Kurki-Suonio, H, Lagache, G, Lahteenmaki, A, Lamarre, JM, Lasenby, A, Lawrence, CR, Leonardi, R, Liddle, A, Liguori, M, Lilje, PB, Linden-Vornle, M, Lopez-Caniego, M, Lubin, PM, Macias-Perez, JF, Maffei, B, Maino, D, Mandolesi, N, Maris, M, Martin, PG, Martinez-Gonzalez, E, Masi, S, Massardi, M, Matarrese, S, Mazzotta, P, Melchiorri, A, Mendes, L, Mennella, A, Migliaccio, M, Mitra, S, Miville-Deschenes, MA, Moneti, A, Montier, L, Morgante, G, Munshi, D, Murphy, JA, Naselsky, P, Nati, F, Natoli, P, Noviello, F, Novikov, D, Novikov, I, Oxborrow, CA, 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, GW, Puget, JL, Rachen, JP, Rebolo, R, Reinecke, M, Remazeilles, M, Renault, C, Ricciardi, S, Riller, T, Ristorcelli, I, Rocha, G, Rosset, C, Roudier, G, d'Orfeuil, BR, Rubino-Martin, JA, Rusholme, B, Sandri, M, Savelainen, M, Savini, G, Spencer, LD, Spinelli, M, Starck, JL, Sureau, F, Sutton, D, Suur-Uski, AS, Sygnet, JF, Tauber, JA, Terenzi, L, Toffolatti, L, Tomasi, M, Tristram, M, Tucci, M, Umana, G, Valenziano, L, Valiviita, J, Van Tent, B, Vielva, P, Villa, F, Wade, LA, Wandelt, BD, White, M, Yvon, D, Zacchei, A, Zonca, A. (2014). Planck intermediate results XVI. Profile likelihoods for cosmological parameters. ASTRONOMY & ASTROPHYSICS, 566 (10.1051/0004-6361/201323003
DOI: doi:10.1051/0004-6361/201323003
ISSN: 0004-6361
Related Item: https://ui.adsabs.harvard.edu/abs/2014A%26A...566A..54P/abstract
Type of Material: Journal Article
Journal/Proceeding Title: ASTRONOMY & ASTROPHYSICS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.



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