Planck intermediate results XVI. Profile likelihoods for cosmological parameters

Planck Collaboration; P. A. R. Ade; N. Aghanim; M. Arnaud; M. Ashdown; J. Aumont; C. Baccigalupi; A. J. Banday; R. B. Barreiro; J. G. Bartlett; E. Battaner; K. Benabed; A. Benoit-Levy; J. -P. Bernard; M. Bersanelli; P. Bielewicz; J. Bobin; A. Bonaldi; J. R. Bond; F. R. Bouchet; C. Burigana; J. -F. Cardoso; A. Catalano; A. Chamballu; H. C. Chiang; P. R. Christensen; D. L. Clements; S. Colombi; L. P. L. Colombo; F. Couchot; F. Cuttaia; L. Danese; R. D. Davies; R. J. Davis; P. de Bernardis; A. de Rosa; G. de Zotti; J. Delabrouille; C. Dickinson; J. M. Diego; H. Dole; S. Donzelli; O. Dore; M. Douspis; X. Dupac; T. A. Ensslin; H. K. Eriksen; F. Finelli; O. Forni; M. Frailis; A. Liddle

doi:10.1051/0004-6361/201323003

Planck intermediate results XVI. Profile likelihoods for cosmological parameters

Planck Collaboration, P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett, E. Battaner, K. Benabed, A. Benoit-Levy, J. -P. Bernard, M. Bersanelli, P. Bielewicz, J. Bobin, A. Bonaldi, J. R. Bond, F. R. BouchetC. Burigana, J. -F. Cardoso, A. Catalano, A. Chamballu, H. C. Chiang, P. R. Christensen, D. L. Clements, S. Colombi, L. P. L. Colombo, F. Couchot, F. Cuttaia, L. Danese, R. D. Davies, R. J. Davis, P. de Bernardis, A. de Rosa, G. de Zotti, J. Delabrouille, C. Dickinson, J. M. Diego, H. Dole, S. Donzelli, O. Dore, M. Douspis, X. Dupac, T. A. Ensslin, H. K. Eriksen, F. Finelli, O. Forni, M. Frailis, A. Liddle

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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)

Original language	English
Article number	54
Number of pages	10
Journal	Astronomy & Astrophysics
Volume	566
DOIs	https://doi.org/10.1051/0004-6361/201323003
Publication status	Published - Jun 2014

Keywords / Materials (for Non-textual outputs)

cosmic background radiation
cosmology: observations
cosmology: theory
cosmological parameters
methods: statistical
BARYON ACOUSTIC-OSCILLATIONS
DARK ENERGY

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10.1051/0004-6361/201323003

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Planck Collaboration, 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-Levy, A., Bernard, J. .-P., Bersanelli, M., Bielewicz, P., Bobin, J., Bonaldi, A., Bond, J. R., ... Liddle, A. (2014). Planck intermediate results XVI. Profile likelihoods for cosmological parameters. Astronomy & Astrophysics, 566, Article 54. https://doi.org/10.1051/0004-6361/201323003

@article{0378383c7aa34eed91875ac8b925bbf6,

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 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)",

keywords = "cosmic background radiation, cosmology: observations, cosmology: theory, cosmological parameters, methods: statistical, BARYON ACOUSTIC-OSCILLATIONS, DARK ENERGY",

author = "{Planck Collaboration} and Ade, {P. A. R.} and N. Aghanim and M. Arnaud and M. Ashdown and J. Aumont and C. Baccigalupi and Banday, {A. J.} and Barreiro, {R. B.} and Bartlett, {J. G.} and E. Battaner and K. Benabed and A. Benoit-Levy and Bernard, {J. -P.} and M. Bersanelli and P. Bielewicz and J. Bobin and A. Bonaldi and Bond, {J. R.} and Bouchet, {F. R.} and C. Burigana and Cardoso, {J. -F.} and A. Catalano and A. Chamballu and Chiang, {H. C.} and Christensen, {P. R.} and Clements, {D. L.} and S. Colombi and Colombo, {L. P. L.} and F. Couchot and F. Cuttaia and L. Danese and Davies, {R. D.} and Davis, {R. J.} and {de Bernardis}, P. and {de Rosa}, A. and {de Zotti}, G. and J. Delabrouille and C. Dickinson and Diego, {J. M.} and H. Dole and S. Donzelli and O. Dore and M. Douspis and X. Dupac and Ensslin, {T. A.} and Eriksen, {H. K.} and F. Finelli and O. Forni and M. Frailis and A. Liddle",

year = "2014",

month = jun,

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

language = "English",

volume = "566",

journal = "Astronomy & Astrophysics",

issn = "0004-6361",

publisher = "EDP Sciences",

}

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, J-P, Bersanelli, M, Bielewicz, P, Bobin, J, Bonaldi, A, Bond, JR, Bouchet, FR, Burigana, C, Cardoso, J-F, 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 & Liddle, A 2014, 'Planck intermediate results XVI. Profile likelihoods for cosmological parameters', Astronomy & Astrophysics, vol. 566, 54. https://doi.org/10.1051/0004-6361/201323003

TY - JOUR

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

AU - Planck Collaboration

AU - Ade, P. A. R.

AU - Aghanim, N.

AU - Arnaud, M.

AU - Ashdown, M.

AU - Aumont, J.

AU - Baccigalupi, C.

AU - Banday, A. J.

AU - Barreiro, R. B.

AU - Bartlett, J. G.

AU - Battaner, E.

AU - Benabed, K.

AU - Benoit-Levy, A.

AU - Bernard, J. -P.

AU - Bersanelli, M.

AU - Bielewicz, P.

AU - Bobin, J.

AU - Bonaldi, A.

AU - Bond, J. R.

AU - Bouchet, F. R.

AU - Burigana, C.

AU - Cardoso, J. -F.

AU - Catalano, A.

AU - Chamballu, A.

AU - Chiang, H. C.

AU - Christensen, P. R.

AU - Clements, D. L.

AU - Colombi, S.

AU - Colombo, L. P. L.

AU - Couchot, F.

AU - Cuttaia, F.

AU - Danese, L.

AU - Davies, R. D.

AU - Davis, R. J.

AU - de Bernardis, P.

AU - de Rosa, A.

AU - de Zotti, G.

AU - Delabrouille, J.

AU - Dickinson, C.

AU - Diego, J. M.

AU - Dole, H.

AU - Donzelli, S.

AU - Dore, O.

AU - Douspis, M.

AU - Dupac, X.

AU - Ensslin, T. A.

AU - Eriksen, H. K.

AU - Finelli, F.

AU - Forni, O.

AU - Frailis, M.

AU - Liddle, A.

PY - 2014/6

Y1 - 2014/6

N2 - 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)

AB - 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)

KW - cosmic background radiation

KW - cosmology: observations

KW - cosmology: theory

KW - cosmological parameters

KW - methods: statistical

KW - BARYON ACOUSTIC-OSCILLATIONS

KW - DARK ENERGY

U2 - 10.1051/0004-6361/201323003

DO - 10.1051/0004-6361/201323003

M3 - Article

SN - 0004-6361

VL - 566

JO - Astronomy & Astrophysics

JF - Astronomy & Astrophysics

M1 - 54

ER -

Planck intermediate results XVI. Profile likelihoods for cosmological parameters

Abstract

Keywords / Materials (for Non-textual outputs)

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