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Planck intermediate results - XVI. Profile likelihoods for cosmological parameters

P. A. R. AdeSchool of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff, CF24 3AA, UKAde, P.A.R.Cardiff University, Cardiff, United KingdomN. AghanimUniversité Paris-Sud, Orsay, FranceK. JahnkęInstitut d’Astrophysique Spatiale, CNRS (UMR 8617) Université Paris-Sud 11, Bâtiment 121, Orsay, FranceM. ArnaudUniversité Paris CitéM. ArnaudDélégation Paris 7, Bagnolet, FranceM. AshdownAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKM. AshdownUniversity of Cambridge, Cambridge, United KingdomJ. AumontInstitut d’Astrophysique Spatiale, CNRS (UMR 8617) Université Paris-Sud 11, Bâtiment 121, Orsay, FranceC. BaccigalupiSISSA, Astrophysics Sector, via Bonomea 265, 34136 Trieste, ItalyA. J. BandayCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceR. B. BarreiroInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainJ. G. BartlettAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceE. BattanerUniversity of Granada, Departamento de Física Teórica y del Cosmos, Facultad de Ciencias, Granada, SpainK. BenabedInstitut d’Astrophysique de Paris, CNRS (UMR 7095), 98bis Boulevard Arago, 75014 Paris, FranceA. Benoit-LévyDepartment of Physics and Astronomy, University College London, London WC1E 6BT, UKJ.-P. BernardCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceM. BersanelliDipartimento di Fisica, Università degli Studi di Milano, via Celoria, 16, Milano, ItalyP. BielewiczCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceJ. BobinLaboratoire AIM, IRFU/Service d’Astrophysique – CEA/DSM – CNRS – Université Paris Diderot, Bât. 709, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, FranceA. BonaldiJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKJ. R. BondCITA, University of Toronto, 60 St. George St., Toronto, ON M5S 3H8, CanadaF. R. BouchetInstitut d’Astrophysique de Paris, CNRS (UMR 7095), 98bis Boulevard Arago, 75014 Paris, FranceC. BuriganaDipartimento di Fisica e Scienze della Terra, Università di Ferrara, via Saragat 1, 44122 Ferrara, ItalyJ.-F. CardosoAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceA. CatalanoLERMA, CNRS, Observatoire de Paris, 61 Avenue de l’Observatoire, Paris, FranceA. ChamballuInstitut d'Astrophysique SpatialeH. C. ChiangAstrophysics & Cosmology Research Unit, School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, 4000 Durban, South AfricaP. R. ChristensenD. L. ClementsImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKS. ColombiInstitut d’Astrophysique de Paris, CNRS (UMR 7095), 98bis Boulevard Arago, 75014 Paris, FranceL. P. L. ColomboDepartment of Physics and Astronomy, Dana and David Dornsife College of Letter, Arts and Sciences, University of Southern California, Los Angeles CA 90089, USAF. CouchotLAL, Université Paris-Sud, CNRS/IN2P3, Orsay, FranceF. CuttaiaINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyL. DaneseSISSA, Astrophysics Sector, via Bonomea 265, 34136 Trieste, ItalyRodney D. DaviesJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKR. J. DavisJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKP. de BernardisDipartimento di Fisica, Università La Sapienza, P.le A. Moro 2, Roma, ItalyA. de RosaINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyG. de ZottiINAF – Osservatorio Astronomico di Padova, Vicolo dell’Osservatorio 5, Padova, ItalyJ. DelabrouilleAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceC. DickinsonJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKJ. M. DiegoInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainH. DoleInstitut Universitaire de France, 103 bd Saint-Michel, 75005 Paris, FranceS. DonzelliINAF/IASF Milano, via E. Bassini 15, Milano, ItalyO. DoréCalifornia Institute of Technology, Pasadena, California, USAM. DouspisInstitut d’Astrophysique Spatiale, CNRS (UMR 8617) Université Paris-Sud 11, Bâtiment 121, Orsay, FranceX. DupacEuropean Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, Madrid, SpainT. A. EnßlinMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyH. K. EriksenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, NorwayF. Finelli⋆INAF/IASF Bologna, via Gobetti 101, Bologna, ItalyO. ForniCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceM. FrailisINAF – Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyE. FranceschiINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyS. GaleottaINAF – Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyS. GalliInstitut d’Astrophysique de Paris, CNRS (UMR 7095), 98bis Boulevard Arago, 75014 Paris, FranceK. GangaAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceM. GiardCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceY. Giraud–HéraudAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceJ. González-NuevoInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainK. M. GórskiJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAA. GregorioDipartimento di Fisica, Università degli Studi di Trieste, via A. Valerio 2, Trieste, ItalyA. GruppusoINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyF. K. HansenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, NorwayD. L. HarrisonInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKS. Henrot–VersilléLAL, Université Paris-Sud, CNRS/IN2P3, Orsay, FranceC. Hernández-MonteagudoCentro de Estudios de Física del Cosmos de Aragón (CEFCA), Plaza San Juan 1, planta 2, 44001 Teruel, SpainD. HerranzInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainS. R. HildebrandtCalifornia Institute of Technology, Pasadena, California, USAE. HivonInstitut d’Astrophysique de Paris, CNRS (UMR 7095), 98bis Boulevard Arago, 75014 Paris, FranceM. HobsonAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKW. A. HolmesJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAA. HornstrupDTU Space, National Space Institute, Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, DenmarkW. HovestMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyK. M. HuffenbergerDepartment of Physics, Florida State University, Keen Physics Building, 77 Chieftan Way, Tallahassee, Florida, USAA. H. JaffeImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKT. R. JaffeCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceW. C. JonesDepartment of Physics, Princeton University, Princeton, New Jersey, USAM. JuvelaDepartment of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, FinlandE. KeihänenDepartment of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, FinlandR. KeskitaloComputational Cosmology Center, Lawrence Berkeley National Laboratory, Berkeley, California, USAT. S. KisnerLawrence Berkeley National Laboratory, Berkeley, California, USAR. KneißlAtacama Large Millimeter/submillimeter Array, ALMA Santiago Central Offices, Alonso de Cordova 3107, Vitacura, Casilla 763 0355, Santiago, ChileJ. KnocheMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyL. KnoxDepartment of Physics, University of California, One Shields Avenue, Davis, California, USAM. KunzAfrican Institute for Mathematical Sciences, 6-8 Melrose Road, Muizenberg, Cape Town, South AfricaH. Kurki‐SuonioDepartment of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, FinlandG. LagacheInstitut d’Astrophysique Spatiale, CNRS (UMR 8617) Université Paris-Sud 11, Bâtiment 121, Orsay, FranceA. LähteenmäkiAalto University Metsähovi Radio Observatory and Dept of Radio Science and Engineering, PO Box 13000, 00076 Aalto, FinlandJ.‐M. LamarreLERMA, CNRS, Observatoire de Paris, 61 Avenue de l’Observatoire, Paris, FranceA. LasenbyAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKC. R. LawrenceJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAR. LeonardiEuropean Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, Madrid, SpainAndrew R. LiddleDepartment of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UKM. LiguoriDipartimento di Fisica e Astronomia G. Galilei, Università degli Studi diPadova, via Marzolo 8, 35131 Padova, ItalyP. B. LiljeInstitute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, NorwayM. Linden-VørnleDTU Space, National Space Institute, Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, DenmarkM. López-CaniegoInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainP. M. LubinDepartment of Physics, University of California, Santa Barbara, California, USAJ. F. Macías–PérezLaboratoire de Physique Subatomique et de Cosmologie, Université Joseph Fourier Grenoble I, CNRS/IN2P3, Institut National Polytechnique de Grenoble, 53 rue des Martyrs, 38026 Grenoble Cedex, FranceB. MaffeiJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKD MainoDipartimento di Fisica, Università degli Studi di Milano, via Celoria, 16, Milano, ItalyN. MandolesiAgenzia Spaziale Italiana, Viale Liegi 26, Roma, ItalyM. MarisINAF – Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, Italy
2014en
ABI

Аннотация

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.

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