Planck intermediate results: XVI. Profile likelihoods for cosmological parameters

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

doi:10.1051/0004-6361/201323003

Planck intermediate results: XVI. Profile likelihoods for cosmological parameters

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

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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 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.

Original language	English
Article number	A54
Journal	Astronomy and Astrophysics
Volume	566
Number of pages	10
ISSN	0004-6361
DOIs	https://doi.org/10.1051/0004-6361/201323003
Publication status	Published - 2014

Keywords

astro-ph.CO
Cosmic background radiation
Cosmological parameters
Cosmology: observations
Cosmology: theory
Methods: statistical
Cosmic ray measurement
Statistical methods
Cosmology: observation
Methods:statistical
Cosmology

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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., ... Battaner, E. (2014). Planck intermediate results: XVI. Profile likelihoods for cosmological parameters. Astronomy and Astrophysics, 566, Article A54. https://doi.org/10.1051/0004-6361/201323003

@article{c9ace742e07c4ef18595a86faf697533,

title = "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 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. {\textcopyright} ESO 2014.",

keywords = "astro-ph.CO, Cosmic background radiation, Cosmological parameters, Cosmology: observations, Cosmology: theory, Methods: statistical, Cosmic ray measurement, Statistical methods, Cosmology: observation, Methods:statistical, Cosmology",

author = "J.G. Bartlett and J.-F. Cardoso and J. Delabrouille and K. Ganga and Y. Giraud-H{\'e}raud and M. Piat and M. Remazeilles and C. Rosset and G. Roudier and A. L{\"a}hteenm{\"a}ki and M. Kunz and P. Natoli and G. Polenta and N. Mandolesi and M. Ashdown and M. Hobson and A. Lasenby and H.C. Chiang and R. Kneissl and J.R. Bond and P.G. Martin and M.-A. Miville-Desch{\^e}nes and A.J. Banday and J.-P. Bernard and P. Bielewicz and O. Forni and M. Giard and T.R. Jaffe and L. Montier and E. Pointecouteau and I. Ristorcelli and O. Dor{\'e} and S.R. Hildebrandt and G. Rocha and C. Hern{\'a}ndez-Monteagudo and R. Keskitalo and R. Rebolo and A. Chamballu and D. Yvon and Allan Hornstrup and Michael Linden-V{\o}rnle and Oxborrow, {Carol Anne} and V. Pettorino and M. Tucci and L. Toffolatti and J.P. Rachen and L.P.L. Colombo and E. Pierpaoli and A. Benoit-L{\'e}vy and A. Liddle and K.M. Huffenberger and M. Juvela and E. Keih{\"a}nen and H. Kurki-Suonio and M. Savelainen and A.-S. Suur-Uski and J. Valiviita and W.C. Jones and M. White and L. Knox and P.M. Lubin and A. Zonca and B.D. Wandelt and M. Liguori and S. Matarrese and C. Burigana and {De Bernardis}, P. and S. Masi and A. Melchiorri and F. Nati and L. Pagano and F. Piacentini and M. Bersanelli and D. Maino and A. Mennella and M. Tomasi and A. Gregorio and P. Mazzotta and P.R. Christensen and P. Naselsky and J.A. Rubi{\~n}o-Mart{\'i}n and X. Dupac and R. Leonardi and L. Mendes and J.A. Tauber and G. Umana and {De Zotti}, G. and M. Frailis and S. Galeotta and M. Maris and F. Pasian and A. Zacchei and M. Massardi and F. Cuttaia and {De Rosa}, A. and F. Finelli and E. Franceschi and A. Gruppuso and G. Morgante and D. Paoletti and S. Ricciardi and M. Sandri and L. Terenzi and L. Valenziano and F. Villa and S. Donzelli and S. Mitra and D.L. Clements and A.H. Jaffe and D. Novikov and B. Rusholme and H. Dole and N. Aghanim and J. Aumont and M. Douspis and G. Lagache and F. Pajot and J.-L. Puget and K. Benabed and F.R. Bouchet and S. Colombi and S. Galli and E. Hivon and A. Moneti and J.-F. Sygnet and L. Popa and D.L. Harrison and M. Migliaccio and D. Sutton and H.K. Eriksen and F.K. Hansen and P.B. Lilje and R.B. Barreiro and J.M. Diego and J. Gonz{\'a}lez-Nuevo and D. Herranz and M. L{\'o}pez-Caniego and E. Mart{\'i}nez-Gonz{\'a}lez and P. Vielva and K.M. G{\'o}rski and W.A. Holmes and C.R. Lawrence and D. Pietrobon and L.A. Wade and A. Bonaldi and R.D. Davies and R.J. Davis and C. Dickinson and B. Maffei and F. Noviello and F. Couchot and S. Henrot-Versill{\'e} and O. Perdereau and S. Plaszczynski and {Rouill{\'e} D'orfeuil}, B. and M. Spinelli and M. Tristram and A. Catalano and J.-M. Lamarre and M. Arnaud and J. Bobin and G.W. Pratt and J.-L. Starck and F. Sureau and J.F. Mac{\'i}as-P{\'e}rez and L. Perotto and C. Renault and {Van Tent}, B. and T.S. Kisner and T.A. En{\ss}lin and W. Hovest and J. Knoche and M. Reinecke and T. Riller and J.A. Murphy and I. Novikov and G. Savini and C. Baccigalupi and L. Danese and F. Perrotta and P.A.R. Ade and D. Munshi and L.D. Spencer and E. Battaner",

year = "2014",

doi = "10.1051/0004-6361/201323003",

language = "English",

volume = "566",

journal = "Astronomy and Astrophysics",

issn = "0004-6361",

publisher = "EDP Sciences",

}

Bartlett, JG, 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, HC, Kneissl, R, Bond, JR, Martin, PG, Miville-Deschênes, M-A, Banday, AJ, Bernard, J-P, Bielewicz, P, Forni, O, Giard, M, Jaffe, TR, Montier, L, Pointecouteau, E, Ristorcelli, I, Doré, O, Hildebrandt, SR, Rocha, G, Hernández-Monteagudo, C, Keskitalo, R, Rebolo, R, Chamballu, A, Yvon, D, Hornstrup, A , Linden-Vørnle, M , Oxborrow, CA, Pettorino, V, Tucci, M, Toffolatti, L, Rachen, JP, Colombo, LPL, Pierpaoli, E, Benoit-Lévy, A, Liddle, A, Huffenberger, KM, Juvela, M, Keihänen, E, Kurki-Suonio, H, Savelainen, M, Suur-Uski, A-S, Valiviita, J, Jones, WC, White, M, Knox, L, Lubin, PM, Zonca, A, Wandelt, BD, 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, PR, Naselsky, P, Rubiño-Martín, JA, Dupac, X, Leonardi, R, Mendes, L, Tauber, JA, 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, DL, Jaffe, AH, Novikov, D, Rusholme, B, Dole, H, Aghanim, N, Aumont, J, Douspis, M, Lagache, G, Pajot, F, Puget, J-L, Benabed, K, Bouchet, FR, Colombi, S, Galli, S, Hivon, E, Moneti, A, Sygnet, J-F, Popa, L, Harrison, DL, Migliaccio, M, Sutton, D, Eriksen, HK, Hansen, FK, Lilje, PB, Barreiro, RB, Diego, JM, González-Nuevo, J, Herranz, D, López-Caniego, M, Martínez-González, E, Vielva, P, Górski, KM, Holmes, WA, Lawrence, CR, Pietrobon, D, Wade, LA, Bonaldi, A, Davies, RD, Davis, RJ, 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, GW, Starck, J-L, Sureau, F, Macías-Pérez, JF, Perotto, L, Renault, C, Van Tent, B, Kisner, TS, Enßlin, TA, Hovest, W, Knoche, J, Reinecke, M, Riller, T, Murphy, JA, Novikov, I, Savini, G, Baccigalupi, C, Danese, L, Perrotta, F, Ade, PAR, Munshi, D, Spencer, LD & Battaner, E 2014, 'Planck intermediate results: XVI. Profile likelihoods for cosmological parameters', Astronomy and Astrophysics, vol. 566, A54. https://doi.org/10.1051/0004-6361/201323003

TY - JOUR

T1 - Planck intermediate results: XVI. Profile likelihoods for cosmological parameters

AU - Bartlett, J.G.

AU - Cardoso, J.-F.

AU - Delabrouille, J.

AU - Ganga, K.

AU - Giraud-Héraud, Y.

AU - Piat, M.

AU - Remazeilles, M.

AU - Rosset, C.

AU - Roudier, G.

AU - Lähteenmäki, A.

AU - Kunz, M.

AU - Natoli, P.

AU - Polenta, G.

AU - Mandolesi, N.

AU - Ashdown, M.

AU - Hobson, M.

AU - Lasenby, A.

AU - Chiang, H.C.

AU - Kneissl, R.

AU - Bond, J.R.

AU - Martin, P.G.

AU - Miville-Deschênes, M.-A.

AU - Banday, A.J.

AU - Bernard, J.-P.

AU - Bielewicz, P.

AU - Forni, O.

AU - Giard, M.

AU - Jaffe, T.R.

AU - Montier, L.

AU - Pointecouteau, E.

AU - Ristorcelli, I.

AU - Doré, O.

AU - Hildebrandt, S.R.

AU - Rocha, G.

AU - Hernández-Monteagudo, C.

AU - Keskitalo, R.

AU - Rebolo, R.

AU - Chamballu, A.

AU - Yvon, D.

AU - Hornstrup, Allan

AU - Linden-Vørnle, Michael

AU - Oxborrow, Carol Anne

AU - Pettorino, V.

AU - Tucci, M.

AU - Toffolatti, L.

AU - Rachen, J.P.

AU - Colombo, L.P.L.

AU - Pierpaoli, E.

AU - Benoit-Lévy, A.

AU - Liddle, A.

AU - Huffenberger, K.M.

AU - Juvela, M.

AU - Keihänen, E.

AU - Kurki-Suonio, H.

AU - Savelainen, M.

AU - Suur-Uski, A.-S.

AU - Valiviita, J.

AU - Jones, W.C.

AU - White, M.

AU - Knox, L.

AU - Lubin, P.M.

AU - Zonca, A.

AU - Wandelt, B.D.

AU - Liguori, M.

AU - Matarrese, S.

AU - Burigana, C.

AU - De Bernardis, P.

AU - Masi, S.

AU - Melchiorri, A.

AU - Nati, F.

AU - Pagano, L.

AU - Piacentini, F.

AU - Bersanelli, M.

AU - Maino, D.

AU - Mennella, A.

AU - Tomasi, M.

AU - Gregorio, A.

AU - Mazzotta, P.

AU - Christensen, P.R.

AU - Naselsky, P.

AU - Rubiño-Martín, J.A.

AU - Dupac, X.

AU - Leonardi, R.

AU - Mendes, L.

AU - Tauber, J.A.

AU - Umana, G.

AU - De Zotti, G.

AU - Frailis, M.

AU - Galeotta, S.

AU - Maris, M.

AU - Pasian, F.

AU - Zacchei, A.

AU - Massardi, M.

AU - Cuttaia, F.

AU - De Rosa, A.

AU - Finelli, F.

AU - Franceschi, E.

AU - Gruppuso, A.

AU - Morgante, G.

AU - Paoletti, D.

AU - Ricciardi, S.

AU - Sandri, M.

AU - Terenzi, L.

AU - Valenziano, L.

AU - Villa, F.

AU - Donzelli, S.

AU - Mitra, S.

AU - Clements, D.L.

AU - Jaffe, A.H.

AU - Novikov, D.

AU - Rusholme, B.

AU - Dole, H.

AU - Aghanim, N.

AU - Aumont, J.

AU - Douspis, M.

AU - Lagache, G.

AU - Pajot, F.

AU - Puget, J.-L.

AU - Benabed, K.

AU - Bouchet, F.R.

AU - Colombi, S.

AU - Galli, S.

AU - Hivon, E.

AU - Moneti, A.

AU - Sygnet, J.-F.

AU - Popa, L.

AU - Harrison, D.L.

AU - Migliaccio, M.

AU - Sutton, D.

AU - Eriksen, H.K.

AU - Hansen, F.K.

AU - Lilje, P.B.

AU - Barreiro, R.B.

AU - Diego, J.M.

AU - González-Nuevo, J.

AU - Herranz, D.

AU - López-Caniego, M.

AU - Martínez-González, E.

AU - Vielva, P.

AU - Górski, K.M.

AU - Holmes, W.A.

AU - Lawrence, C.R.

AU - Pietrobon, D.

AU - Wade, L.A.

AU - Bonaldi, A.

AU - Davies, R.D.

AU - Davis, R.J.

AU - Dickinson, C.

AU - Maffei, B.

AU - Noviello, F.

AU - Couchot, F.

AU - Henrot-Versillé, S.

AU - Perdereau, O.

AU - Plaszczynski, S.

AU - Rouillé D'orfeuil, B.

AU - Spinelli, M.

AU - Tristram, M.

AU - Catalano, A.

AU - Lamarre, J.-M.

AU - Arnaud, M.

AU - Bobin, J.

AU - Pratt, G.W.

AU - Starck, J.-L.

AU - Sureau, F.

AU - Macías-Pérez, J.F.

AU - Perotto, L.

AU - Renault, C.

AU - Van Tent, B.

AU - Kisner, T.S.

AU - Enßlin, T.A.

AU - Hovest, W.

AU - Knoche, J.

AU - Reinecke, M.

AU - Riller, T.

AU - Murphy, J.A.

AU - Novikov, I.

AU - Savini, G.

AU - Baccigalupi, C.

AU - Danese, L.

AU - Perrotta, F.

AU - Ade, P.A.R.

AU - Munshi, D.

AU - Spencer, L.D.

AU - Battaner, E.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - astro-ph.CO

KW - Cosmic background radiation

KW - Cosmological parameters

KW - Cosmology: observations

KW - Cosmology: theory

KW - Methods: statistical

KW - Cosmic ray measurement

KW - Statistical methods

KW - Cosmology: observation

KW - Methods:statistical

KW - Cosmology

U2 - 10.1051/0004-6361/201323003

DO - 10.1051/0004-6361/201323003

M3 - Journal article

SN - 0004-6361

VL - 566

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

M1 - A54

ER -

Planck intermediate results: XVI. Profile likelihoods for cosmological parameters

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