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Preprint article · Journal article

Planck intermediate results: XVI. Profile likelihoods for cosmological parameters : XVI. Profile likelihoods for cosmological parameters

By Bartlett, J.G.; Cardoso, J.-F.; Delabrouille, J.; Ganga, K.; Giraud-Héraud, Y.; Piat, M.; Remazeilles, M.; Rosset, C.; Roudier, G.; Lähteenmäki, A.; Kunz, M.; Natoli, P.; Polenta, G.; Mandolesi, N.; Ashdown, M.; Hobson, M.; Lasenby, A.; Chiang, H.C.; Kneissl, R.; Bond, J.R.; Martin, P.G.; Miville-Deschênes, M.-A.; Banday, A.J.; Bernard, J.-P.; Bielewicz, P.; Forni, O.; Giard, M.; Jaffe, T.R.; Montier, L.; Pointecouteau, E.; Ristorcelli, I.; Doré, O.; Hildebrandt, S.R.; Rocha, G.; Hernández-Monteagudo, C.; Keskitalo, R.; Rebolo, R.; Chamballu, A.; Yvon, D.; Hornstrup, Allan1,2,3; Linden-Vørnle, Michael1; Oxborrow, Carol Anne1,2; Pettorino, V.; Tucci, M.; Toffolatti, L.; Rachen, J.P.; Colombo, L.P.L.; Pierpaoli, E.; Benoit-Lévy, A.; Liddle, A.; Huffenberger, K.M.; Juvela, M.; Keihänen, E.; Kurki-Suonio, H.; Savelainen, M.; Suur-Uski, A.-S.; Valiviita, J.; Jones, W.C.; White, M.; Knox, L.; Lubin, P.M.; Zonca, A.; Wandelt, B.D.; Liguori, M.; Matarrese, S.; Burigana, C.; De Bernardis, P.; Masi, S.; Melchiorri, A.; Nati, F.; Pagano, L.; Piacentini, F.; Bersanelli, M.; Maino, D.; Mennella, A.; Tomasi, M.; Gregorio, A.; Mazzotta, P.; Christensen, P.R.; Naselsky, P.; Rubiño-Martín, J.A.; Dupac, X.; Leonardi, R.; Mendes, L.; Tauber, J.A.; Umana, G.; De Zotti, G.; Frailis, M.; Galeotta, S.; Maris, M.; Pasian, F.; Zacchei, A.; Massardi, M.; Cuttaia, F.; De Rosa, A.; Finelli, F.; Franceschi, E.; Gruppuso, A.; Morgante, G.; Paoletti, D.; Ricciardi, S.; Sandri, M.; Terenzi, L.; Valenziano, L.; Villa, F.; Donzelli, S.; Mitra, S.; Clements, D.L.; Jaffe, A.H.; Novikov, D.; Rusholme, B.; Dole, H.; Aghanim, N.; Aumont, J.; Douspis, M.; Lagache, G.; Pajot, F.; Puget, J.-L.; Benabed, K.; Bouchet, F.R.; Colombi, S.; Galli, S.; Hivon, E.; Moneti, A.; Sygnet, J.-F.; Popa, L.; Harrison, D.L.; Migliaccio, M.; Sutton, D.; Eriksen, H.K.; Hansen, F.K.; Lilje, P.B.; Barreiro, R.B.; Diego, J.M.; González-Nuevo, J.; Herranz, D.; López-Caniego, M.; Martínez-González, E.; Vielva, P.; Górski, K.M.; Holmes, W.A.; Lawrence, C.R.; Pietrobon, D.; Wade, L.A.; Bonaldi, A.; Davies, R.D.; Davis, R.J.; Dickinson, C.; Maffei, B.; Noviello, F.; Couchot, F.; Henrot-Versillé, S.; Perdereau, O.; Plaszczynski, S.; Rouillé D'orfeuil, B.; Spinelli, M.; Tristram, M.; Catalano, A.; Lamarre, J.-M.; Arnaud, M.; Bobin, J.; Pratt, G.W.; Starck, J.-L.; Sureau, F.; Macías-Pérez, J.F.; Perotto, L.; Renault, C.; Van Tent, B.; Kisner, T.S.; Enßlin, T.A.; Hovest, W.; Knoche, J.; Reinecke, M.; Riller, T.; Murphy, J.A.; Novikov, I.; Savini, G.; Baccigalupi, C.; Danese, L.; Perrotta, F.; Ade, P.A.R.; Munshi, D.; Spencer, L.D.; Battaner, E. ...and 174 more

From

National Space Institute, Technical University of Denmark1

Astrophysics, National Space Institute, Technical University of Denmark2

IT-Department, National Space Institute, Technical University of Denmark3

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.

Language: English
Publisher: EDP Sciences
Year: 2014
Pages: A54
ISSN: 14320746 and 00046361
Types: Preprint article and Journal article
DOI: 10.1051/0004-6361/201323003
ORCIDs: 0000-0003-4213-1300 , 0000-0002-8891-0273 , Hornstrup, Allan , Linden-Vørnle, Michael and Oxborrow, Carol Anne

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