Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Planck 2018 results. V. CMB power spectra and likelihoods

Abstract

We describe the legacy Planck cosmic microwave background (CMB) likelihoods derived from the 2018 data release. The overall approach is similar in spirit to the one retained for the 2013 and 2015 data release, with a hybrid method using different approximations at low (ℓ < 30) and high (ℓ ≥ 30) multipoles, implementing several methodological and data-analysis refinements compared to previous releases. With more realistic simulations, and better correction and modelling of systematic effects, we can now make full use of the CMB polarization observed in the High Frequency Instrument (HFI) channels. The low-multipole EE cross-spectra from the 100 GHz and 143 GHz data give a constraint on the ΛCDM reionization optical-depth parameter τ to better than 15% (in combination with the TT low-ℓ data and the high-ℓ temperature and polarization data), tightening constraints on all parameters with posterior distributions correlated with τ. We also update the weaker constraint on τ from the joint TEB likelihood using the Low Frequency Instrument (LFI) channels, which was used in 2015 as part of our baseline analysis. At higher multipoles, the CMB temperature spectrum and likelihood are very similar to previous releases. A better model of the temperature-to-polarization leakage and corrections for themore » effective calibrations of the polarization channels (i.e., the polarization efficiencies) allow us to make full use of polarization spectra, improving the ΛCDM constraints on the parameters θMC, ωc, ωb, and H0 by more than 30%, and ns by more than 20% compared to TT-only constraints. Extensive tests on the robustness of the modelling of the polarization data demonstrate good consistency, with some residual modelling uncertainties. At high multipoles, we are now limited mainly by the accuracy of the polarization efficiency modelling. Using our various tests, simulations, and comparison between different high-multipole likelihood implementations, we estimate the consistency of the results to be better than the 0.5 σ level on the ΛCDM parameters, as well as classical single-parameter extensions for the joint likelihood (to be compared to the 0.3 σ levels we achieved in 2015 for the temperature data alone on ΛCDM only). Minor curiosities already present in the previous releases remain, such as the differences between the best-fit ΛCDM parameters for the ℓ < 800 and ℓ > 800 ranges of the power spectrum, or the preference for more smoothing of the power-spectrum peaks than predicted in ΛCDM fits. These are shown to be driven by the temperature power spectrum and are not significantly modified by the inclusion of the polarization data. Overall, the legacy Planck CMB likelihoods provide a robust tool for constraining the cosmological model and represent a reference for future CMB observations.« less

Authors:
; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; « less
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
Contributing Org.:
Planck Collaboration
OSTI Identifier:
1676388
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Astronomy and Astrophysics
Additional Journal Information:
Journal Volume: 641; Journal ID: ISSN 0004-6361
Publisher:
EDP Sciences
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmic background radiation; cosmology: observations; cosmological parameters; methods: data analysis

Citation Formats

Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Benabed, K., Bernard, J. -P., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., Boulanger, F., Bucher, M., Burigana, C., Butler, R. C., Calabrese, E., Cardoso, J. -F., Carron, J., Casaponsa, B., Challinor, A., Chiang, H. C., Colombo, L. L., Combet, C., Crill, B. P., Cuttaia, F., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Delouis, J. -M., Di Valentino, E., Diego, J. M., Doré, O., Douspis, M., Ducout, A., Dupac, X., Dusini, S., Efstathiou, G., Elsner, F., Enßlin, T. A., Eriksen, H. K., Fantaye, Y., Fernandez-Cobos, R., Finelli, F., Frailis, M., Fraisse, A. A., Franceschi, E., Frolov, A., Galeotta, S., Galli, S., Ganga, K., Génova-Santos, R. T., Gerbino, M., Ghosh, T., Giraud-Héraud, Y., González-Nuevo, J., Górski, K. M., Gratton, S., Gruppuso, A., Gudmundsson, J. E., Hamann, J., Handley, W., Hansen, F. K., Herranz, D., Hivon, E., Huang, Z., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kiiveri, K., Kim, J., Kisner, T. S., Krachmalnicoff, N., Kunz, M., Kurki-Suonio, H., Lagache, G., Lamarre, J. -M., Lasenby, A., Lattanzi, M., Lawrence, C. R., Le Jeune, M., Levrier, F., Lewis, A., Liguori, M., Lilje, P. B., Lilley, M., Lindholm, V., López-Caniego, M., Lubin, P. M., Ma, Y. -Z., Macías-Pérez, J. F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Marcos-Caballero, A., Maris, M., Martin, P. G., Martínez-González, E., Matarrese, S., Mauri, N., McEwen, J. D., Meinhold, P. R., Melchiorri, A., Mennella, A., Migliaccio, M., Millea, M., Miville-Deschênes, M. -A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Moss, A., Natoli, P., Nørgaard-Nielsen, H. U., Pagano, L., Paoletti, D., Partridge, B., Patanchon, G., Peiris, H. V., Perrotta, F., Pettorino, V., Piacentini, F., Polenta, G., Puget, J. -L., Rachen, J. P., Reinecke, M., Remazeilles, M., Renzi, A., Rocha, G., Rosset, C., Roudier, G., Rubiño-Martín, J. A., Ruiz-Granados, B., Salvati, L., Sandri, M., Savelainen, M., Scott, D., Shellard, E. S., Sirignano, C., Sirri, G., Spencer, L. D., Sunyaev, R., Suur-Uski, A. -S., Tauber, J. A., Tavagnacco, D., Tenti, M., Toffolatti, L., Tomasi, M., Trombetti, T., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Vittorio, N., Wandelt, B. D., Wehus, I. K., Zacchei, A., and Zonca, A. Planck 2018 results. V. CMB power spectra and likelihoods. United States: N. p., 2020. Web. doi:10.1051/0004-6361/201936386.
Copy to clipboard
Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Benabed, K., Bernard, J. -P., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., Boulanger, F., Bucher, M., Burigana, C., Butler, R. C., Calabrese, E., Cardoso, J. -F., Carron, J., Casaponsa, B., Challinor, A., Chiang, H. C., Colombo, L. L., Combet, C., Crill, B. P., Cuttaia, F., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Delouis, J. -M., Di Valentino, E., Diego, J. M., Doré, O., Douspis, M., Ducout, A., Dupac, X., Dusini, S., Efstathiou, G., Elsner, F., Enßlin, T. A., Eriksen, H. K., Fantaye, Y., Fernandez-Cobos, R., Finelli, F., Frailis, M., Fraisse, A. A., Franceschi, E., Frolov, A., Galeotta, S., Galli, S., Ganga, K., Génova-Santos, R. T., Gerbino, M., Ghosh, T., Giraud-Héraud, Y., González-Nuevo, J., Górski, K. M., Gratton, S., Gruppuso, A., Gudmundsson, J. E., Hamann, J., Handley, W., Hansen, F. K., Herranz, D., Hivon, E., Huang, Z., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kiiveri, K., Kim, J., Kisner, T. S., Krachmalnicoff, N., Kunz, M., Kurki-Suonio, H., Lagache, G., Lamarre, J. -M., Lasenby, A., Lattanzi, M., Lawrence, C. R., Le Jeune, M., Levrier, F., Lewis, A., Liguori, M., Lilje, P. B., Lilley, M., Lindholm, V., López-Caniego, M., Lubin, P. M., Ma, Y. -Z., Macías-Pérez, J. F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Marcos-Caballero, A., Maris, M., Martin, P. G., Martínez-González, E., Matarrese, S., Mauri, N., McEwen, J. D., Meinhold, P. R., Melchiorri, A., Mennella, A., Migliaccio, M., Millea, M., Miville-Deschênes, M. -A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Moss, A., Natoli, P., Nørgaard-Nielsen, H. U., Pagano, L., Paoletti, D., Partridge, B., Patanchon, G., Peiris, H. V., Perrotta, F., Pettorino, V., Piacentini, F., Polenta, G., Puget, J. -L., Rachen, J. P., Reinecke, M., Remazeilles, M., Renzi, A., Rocha, G., Rosset, C., Roudier, G., Rubiño-Martín, J. A., Ruiz-Granados, B., Salvati, L., Sandri, M., Savelainen, M., Scott, D., Shellard, E. S., Sirignano, C., Sirri, G., Spencer, L. D., Sunyaev, R., Suur-Uski, A. -S., Tauber, J. A., Tavagnacco, D., Tenti, M., Toffolatti, L., Tomasi, M., Trombetti, T., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Vittorio, N., Wandelt, B. D., Wehus, I. K., Zacchei, A., & Zonca, A. Planck 2018 results. V. CMB power spectra and likelihoods. United States. https://doi.org/10.1051/0004-6361/201936386
Copy to clipboard
Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Benabed, K., Bernard, J. -P., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., Boulanger, F., Bucher, M., Burigana, C., Butler, R. C., Calabrese, E., Cardoso, J. -F., Carron, J., Casaponsa, B., Challinor, A., Chiang, H. C., Colombo, L. L., Combet, C., Crill, B. P., Cuttaia, F., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Delouis, J. -M., Di Valentino, E., Diego, J. M., Doré, O., Douspis, M., Ducout, A., Dupac, X., Dusini, S., Efstathiou, G., Elsner, F., Enßlin, T. A., Eriksen, H. K., Fantaye, Y., Fernandez-Cobos, R., Finelli, F., Frailis, M., Fraisse, A. A., Franceschi, E., Frolov, A., Galeotta, S., Galli, S., Ganga, K., Génova-Santos, R. T., Gerbino, M., Ghosh, T., Giraud-Héraud, Y., González-Nuevo, J., Górski, K. M., Gratton, S., Gruppuso, A., Gudmundsson, J. E., Hamann, J., Handley, W., Hansen, F. K., Herranz, D., Hivon, E., Huang, Z., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kiiveri, K., Kim, J., Kisner, T. S., Krachmalnicoff, N., Kunz, M., Kurki-Suonio, H., Lagache, G., Lamarre, J. -M., Lasenby, A., Lattanzi, M., Lawrence, C. R., Le Jeune, M., Levrier, F., Lewis, A., Liguori, M., Lilje, P. B., Lilley, M., Lindholm, V., López-Caniego, M., Lubin, P. M., Ma, Y. -Z., Macías-Pérez, J. F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Marcos-Caballero, A., Maris, M., Martin, P. G., Martínez-González, E., Matarrese, S., Mauri, N., McEwen, J. D., Meinhold, P. R., Melchiorri, A., Mennella, A., Migliaccio, M., Millea, M., Miville-Deschênes, M. -A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Moss, A., Natoli, P., Nørgaard-Nielsen, H. U., Pagano, L., Paoletti, D., Partridge, B., Patanchon, G., Peiris, H. V., Perrotta, F., Pettorino, V., Piacentini, F., Polenta, G., Puget, J. -L., Rachen, J. P., Reinecke, M., Remazeilles, M., Renzi, A., Rocha, G., Rosset, C., Roudier, G., Rubiño-Martín, J. A., Ruiz-Granados, B., Salvati, L., Sandri, M., Savelainen, M., Scott, D., Shellard, E. S., Sirignano, C., Sirri, G., Spencer, L. D., Sunyaev, R., Suur-Uski, A. -S., Tauber, J. A., Tavagnacco, D., Tenti, M., Toffolatti, L., Tomasi, M., Trombetti, T., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Vittorio, N., Wandelt, B. D., Wehus, I. K., Zacchei, A., and Zonca, A. Fri . "Planck 2018 results. V. CMB power spectra and likelihoods". United States. https://doi.org/10.1051/0004-6361/201936386. https://www.osti.gov/servlets/purl/1676388.
Copy to clipboard
@article{osti_1676388,
title = {Planck 2018 results. V. CMB power spectra and likelihoods},
author = {Aghanim, N. and Akrami, Y. and Ashdown, M. and Aumont, J. and Baccigalupi, C. and Ballardini, M. and Banday, A. J. and Barreiro, R. B. and Bartolo, N. and Basak, S. and Benabed, K. and Bernard, J. -P. and Bersanelli, M. and Bielewicz, P. and Bock, J. J. and Bond, J. R. and Borrill, J. and Bouchet, F. R. and Boulanger, F. and Bucher, M. and Burigana, C. and Butler, R. C. and Calabrese, E. and Cardoso, J. -F. and Carron, J. and Casaponsa, B. and Challinor, A. and Chiang, H. C. and Colombo, L. L. and Combet, C. and Crill, B. P. and Cuttaia, F. and de Bernardis, P. and de Rosa, A. and de Zotti, G. and Delabrouille, J. and Delouis, J. -M. and Di Valentino, E. and Diego, J. M. and Doré, O. and Douspis, M. and Ducout, A. and Dupac, X. and Dusini, S. and Efstathiou, G. and Elsner, F. and Enßlin, T. A. and Eriksen, H. K. and Fantaye, Y. and Fernandez-Cobos, R. and Finelli, F. and Frailis, M. and Fraisse, A. A. and Franceschi, E. and Frolov, A. and Galeotta, S. and Galli, S. and Ganga, K. and Génova-Santos, R. T. and Gerbino, M. and Ghosh, T. and Giraud-Héraud, Y. and González-Nuevo, J. and Górski, K. M. and Gratton, S. and Gruppuso, A. and Gudmundsson, J. E. and Hamann, J. and Handley, W. and Hansen, F. K. and Herranz, D. and Hivon, E. and Huang, Z. and Jaffe, A. H. and Jones, W. C. and Keihänen, E. and Keskitalo, R. and Kiiveri, K. and Kim, J. and Kisner, T. S. and Krachmalnicoff, N. and Kunz, M. and Kurki-Suonio, H. and Lagache, G. and Lamarre, J. -M. and Lasenby, A. and Lattanzi, M. and Lawrence, C. R. and Le Jeune, M. and Levrier, F. and Lewis, A. and Liguori, M. and Lilje, P. B. and Lilley, M. and Lindholm, V. and López-Caniego, M. and Lubin, P. M. and Ma, Y. -Z. and Macías-Pérez, J. F. and Maggio, G. and Maino, D. and Mandolesi, N. and Mangilli, A. and Marcos-Caballero, A. and Maris, M. and Martin, P. G. and Martínez-González, E. and Matarrese, S. and Mauri, N. and McEwen, J. D. and Meinhold, P. R. and Melchiorri, A. and Mennella, A. and Migliaccio, M. and Millea, M. and Miville-Deschênes, M. -A. and Molinari, D. and Moneti, A. and Montier, L. and Morgante, G. and Moss, A. and Natoli, P. and Nørgaard-Nielsen, H. U. and Pagano, L. and Paoletti, D. and Partridge, B. and Patanchon, G. and Peiris, H. V. and Perrotta, F. and Pettorino, V. and Piacentini, F. and Polenta, G. and Puget, J. -L. and Rachen, J. P. and Reinecke, M. and Remazeilles, M. and Renzi, A. and Rocha, G. and Rosset, C. and Roudier, G. and Rubiño-Martín, J. A. and Ruiz-Granados, B. and Salvati, L. and Sandri, M. and Savelainen, M. and Scott, D. and Shellard, E. S. and Sirignano, C. and Sirri, G. and Spencer, L. D. and Sunyaev, R. and Suur-Uski, A. -S. and Tauber, J. A. and Tavagnacco, D. and Tenti, M. and Toffolatti, L. and Tomasi, M. and Trombetti, T. and Valiviita, J. and Van Tent, B. and Vielva, P. and Villa, F. and Vittorio, N. and Wandelt, B. D. and Wehus, I. K. and Zacchei, A. and Zonca, A.},
abstractNote = {We describe the legacy Planck cosmic microwave background (CMB) likelihoods derived from the 2018 data release. The overall approach is similar in spirit to the one retained for the 2013 and 2015 data release, with a hybrid method using different approximations at low (ℓ < 30) and high (ℓ ≥ 30) multipoles, implementing several methodological and data-analysis refinements compared to previous releases. With more realistic simulations, and better correction and modelling of systematic effects, we can now make full use of the CMB polarization observed in the High Frequency Instrument (HFI) channels. The low-multipole EE cross-spectra from the 100 GHz and 143 GHz data give a constraint on the ΛCDM reionization optical-depth parameter τ to better than 15% (in combination with the TT low-ℓ data and the high-ℓ temperature and polarization data), tightening constraints on all parameters with posterior distributions correlated with τ. We also update the weaker constraint on τ from the joint TEB likelihood using the Low Frequency Instrument (LFI) channels, which was used in 2015 as part of our baseline analysis. At higher multipoles, the CMB temperature spectrum and likelihood are very similar to previous releases. A better model of the temperature-to-polarization leakage and corrections for the effective calibrations of the polarization channels (i.e., the polarization efficiencies) allow us to make full use of polarization spectra, improving the ΛCDM constraints on the parameters θMC, ωc, ωb, and H0 by more than 30%, and ns by more than 20% compared to TT-only constraints. Extensive tests on the robustness of the modelling of the polarization data demonstrate good consistency, with some residual modelling uncertainties. At high multipoles, we are now limited mainly by the accuracy of the polarization efficiency modelling. Using our various tests, simulations, and comparison between different high-multipole likelihood implementations, we estimate the consistency of the results to be better than the 0.5 σ level on the ΛCDM parameters, as well as classical single-parameter extensions for the joint likelihood (to be compared to the 0.3 σ levels we achieved in 2015 for the temperature data alone on ΛCDM only). Minor curiosities already present in the previous releases remain, such as the differences between the best-fit ΛCDM parameters for the ℓ < 800 and ℓ > 800 ranges of the power spectrum, or the preference for more smoothing of the power-spectrum peaks than predicted in ΛCDM fits. These are shown to be driven by the temperature power spectrum and are not significantly modified by the inclusion of the polarization data. Overall, the legacy Planck CMB likelihoods provide a robust tool for constraining the cosmological model and represent a reference for future CMB observations.},
doi = {10.1051/0004-6361/201936386},
journal = {Astronomy and Astrophysics},
number = ,
volume = 641,
place = {United States},
year = {Fri Sep 11 00:00:00 EDT 2020},
month = {Fri Sep 11 00:00:00 EDT 2020}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1051/0004-6361/201936386
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal

Figures / Tables:

Fig. 1 Fig. 1: Top: Commander 2018 low-$ℓ$ temperature map masked with the Commander 2018 mask. Middle and bottom: differences between the Commander 2018 map and the Commander 2015 map (middle) and the SMICA-dedicated low-$ℓ$ map (bottom).
All figures and tables (100 total)
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Polarization Analysis
journal, June 2007

  • Page, L.; Hinshaw, G.; Komatsu, E.
  • The Astrophysical Journal Supplement Series, Vol. 170, Issue 2
  • DOI: 10.1086/513699

Pico: Parameters for the Impatient Cosmologist
journal, January 2007

  • Fendt, William A.; Wandelt, Benjamin D.
  • The Astrophysical Journal, Vol. 654, Issue 1
  • DOI: 10.1086/508342

Power spectra based Planck constraints on compensated isocurvature, and forecasts for LiteBIRD and CORE space missions
journal, April 2017

Planck 2015 results : X. Diffuse component separation: Foreground maps
journal, September 2016

Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000

  • Lewis, Antony; Challinor, Anthony; Lasenby, Anthony
  • The Astrophysical Journal, Vol. 538, Issue 2
  • DOI: 10.1086/309179

Tilted physics: A cosmologically dipole-modulated sky
journal, July 2011

Planck 2015 results : XII. Full focal plane simulations
journal, September 2016

Likelihood Analysis of CMB Temperature and Polarization Power Spectra
text, January 2008

HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005

  • Gorski, K. M.; Hivon, E.; Banday, A. J.
  • The Astrophysical Journal, Vol. 622, Issue 2
  • DOI: 10.1086/427976

Estimating the power spectrum of the cosmic microwave background
journal, February 1998

Planck 2013 results. XVI. Cosmological parameters
journal, October 2014

The Atacama Cosmology Telescope: two-season ACTPol spectra and parameters
journal, June 2017

  • Louis, Thibaut; Grace, Emily; Hasselfield, Matthew
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
  • DOI: 10.1088/1475-7516/2017/06/031

Planck 2018 results: I. Overview and the cosmological legacy of Planck
journal, September 2020

Myths and truths concerning estimation of power spectra: the case for a hybrid estimator
journal, April 2004

Planck 2018 results: IV. Diffuse component separation
journal, September 2020

CMB polarization can constrain cosmology better than CMB temperature
journal, September 2014

Planck 2015 results : XI. CMB power spectra, likelihoods, and robustness of parameters
journal, September 2016

Planck pre-launch status: HFI beam expectations from the optical optimisation of the focal plane
journal, September 2010

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

Joint Bayesian Component Separation and CMB Power Spectrum Estimation
journal, March 2008

  • Eriksen, H. K.; Jewell, J. B.; Dickinson, C.
  • The Astrophysical Journal, Vol. 676, Issue 1
  • DOI: 10.1086/525277

Planck 2018 results: VII. Isotropy and statistics of the CMB
journal, September 2020

Planck 2018 results: VIII. Gravitational lensing
journal, September 2020

Planck 2018 results: XII. Galactic astrophysics using polarized dust emission
journal, September 2020

Effect of aberration on partial-sky measurements of the cosmic microwave background temperature power spectrum
journal, January 2014

Planck 2018 results: X. Constraints on inflation
journal, September 2020

Modelling the correlation between the thermal Sunyaev Zel'dovich effect and the cosmic infrared background: tSZ–CIB correlation
journal, November 2012

SRoll2: an improved mapmaking approach to reduce large-scale systematic effects in the Planck High Frequency Instrument legacy maps
journal, September 2019

Fast estimation of polarization power spectra using correlation functions
journal, May 2004

Planck 2013 results. XV. CMB power spectra and likelihood
journal, October 2014

A method for extracting maximum resolution power spectra from microwave sky maps
journal, May 1996

Cosmological parameters from CMB and other data: A Monte Carlo approach
journal, November 2002

Planck 2018 results: VI. Cosmological parameters
journal, September 2020

Planck pre-launch status: High Frequency Instrument polarization calibration
journal, September 2010

Planck 2013 results. VI. High Frequency Instrument data processing
journal, October 2014

Measurement of CIB power spectra over large sky areas from Planck HFI maps
journal, December 2016

  • Mak, Daisy Suet Ying; Challinor, Anthony; Efstathiou, George
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 1
  • DOI: 10.1093/mnras/stw3112

NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: FINAL MAPS AND RESULTS
journal, September 2013

  • Bennett, C. L.; Larson, D.; Weiland, J. L.
  • The Astrophysical Journal Supplement Series, Vol. 208, Issue 2
  • DOI: 10.1088/0067-0049/208/2/20

Planck 2013 results. XI. All-sky model of thermal dust emission
journal, October 2014

TEASING: a fast and accurate approximation for the low multipole likelihood of the cosmic microwave background temperature
journal, November 2009

QuickPol: Fast calculation of effective beam matrices for CMB polarization
journal, January 2017

Likelihood, Fisher information, and systematics of cosmic microwave background experiments
journal, June 2012

Measurements of the Temperature and E-mode Polarization of the CMB from 500 Square Degrees of SPTpol Data
journal, January 2018

  • Henning, J. W.; Sayre, J. T.; Reichardt, C. L.
  • The Astrophysical Journal, Vol. 852, Issue 2
  • DOI: 10.3847/1538-4357/aa9ff4

The Atacama Cosmology Telescope: likelihood for small-scale CMB data
journal, July 2013

Planck 2013 results. XXVII. Doppler boosting of the CMB: Eppur si muove
journal, October 2014

Do Baryons Trace Dark Matter in the Early Universe?
journal, December 2011

XSPECT, estimation of the angular power spectrum by computing cross-power spectra with analytical error bars
journal, April 2005

New estimates of the CMB angular power spectra from the WMAP 5 year low-resolution data
journal, November 2009

Planck 2018 results: II. Low Frequency Instrument data processing
journal, September 2020

Pico: Parameters for the Impatient Cosmologist
journal, January 2007

  • Fendt, William A.; Wandelt, Benjamin D.
  • The Astrophysical Journal, Vol. 654, Issue 1
  • DOI: 10.1086/508342

QUANTIFYING DISCORDANCE IN THE 2015 PLANCK CMB SPECTRUM
journal, February 2016

Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
journal, June 2007

  • Spergel, D. N.; Bean, R.; Dore, O.
  • The Astrophysical Journal Supplement Series, Vol. 170, Issue 2
  • DOI: 10.1086/513700

Planck intermediate results : XLI. A map of lensing-induced
journal, December 2016

Planck 2013 results. XXX. Cosmic infrared background measurements and implications for star formation
journal, October 2014

Fast Spherical Harmonic Analysis: A Quick Algorithm for Generating and/or InvertingFull-Sky, High-Resolution Cosmic Microwave Background Anisotropy Maps
journal, October 1997

  • Muciaccia, P. F.; Natoli, P.; Vittorio, N.
  • The Astrophysical Journal, Vol. 488, Issue 2
  • DOI: 10.1086/310921

Compensated isocurvature perturbations and the cosmic microwave background
journal, December 2011

SRoll2: an improved mapmaking approach to reduce large-scale systematic effects in the Planck High Frequency Instrument legacy maps
journal, September 2019

WMAP 7 year constraints on CPT violation from large angle CMB anisotropies
journal, February 2012

Cosmic Microwave Background Likelihood Approximation by a Gaussianized Blackwell-Rao Estimator
journal, February 2009

Planck 2013 results. VII. HFI time response and beams
journal, October 2014

A simple empirically motivated template for the thermal Sunyaev-Zel’dovich effect
journal, May 2012

Planck 2015 results : VIII. High Frequency Instrument data processing: Calibration and maps
journal, September 2016

Residual noise covariance for Planck low-resolution data analysis
journal, November 2010

Planck 2015 results : XV. Gravitational lensing
journal, September 2016

Templates for the Sunyaev-Zel’Dovich Angular Power Spectrum
journal, January 2011

Likelihood analysis of CMB temperature and polarization power spectra
journal, May 2008

All-sky analysis of polarization in the microwave background
journal, February 1997

Hybrid estimation of cosmic microwave background polarization power spectra
journal, July 2006

MASTER of the Cosmic Microwave Background Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex Cosmic Microwave Background Data Sets
journal, March 2002

  • Hivon, Eric; Gorski, Krzysztof M.; Netterfield, C. Barth
  • The Astrophysical Journal, Vol. 567, Issue 1
  • DOI: 10.1086/338126

Planck 2018 results: III. High Frequency Instrument data processing and frequency maps
journal, September 2020

Planck 2018 results: IX. Constraints on primordial non-Gaussianity
journal, September 2020

CMB Polarization can constrain cosmology better than CMB temperature
text, January 2014

Planck 2015 results : IX. Diffuse component separation: CMB maps
journal, September 2016

Planck 2018 results: XI. Polarized dust foregrounds
journal, September 2020

Reionization optical depth determination from Planck HFI data with ten percent accuracy
journal, March 2020

Statistics of cosmic microwave background polarization
journal, June 1997

  • Kamionkowski, Marc; Kosowsky, Arthur; Stebbins, Albert
  • Physical Review D, Vol. 55, Issue 12
  • DOI: 10.1103/PhysRevD.55.7368
    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Re-evaluating evidence for Hawking points in the CMB
    journal, March 2020

    The flickering nuclear activity of Fornax A
    journal, January 2020

    CMB foreground measurements through broad-band radio spectro-polarimetry: prospects of the SKA-MPG telescope
    journal, June 2019

    • Basu, Aritra; Schwarz, Dominik J.; Klöckner, Hans-Rainer
    • Monthly Notices of the Royal Astronomical Society, Vol. 488, Issue 2
    • DOI: 10.1093/mnras/stz1637

    Local Bubble contribution to the 353-GHz dust polarized emission
    journal, November 2019

    A physical approach to modelling large-scale galactic magnetic fields
    journal, March 2019

    Extreme starlight polarization in a region with highly polarized dust emission
    journal, April 2019

    Reionization optical depth determination from Planck HFI data with ten percent accuracy
    journal, March 2020

    Gas shells and magnetic fields in the Orion-Eridanus superbubble
    journal, October 2019

    Link between E – B polarization modes and gas column density from interstellar dust emission
    journal, November 2019

    Statistics of non-polarized points in the CMB polarization maps
    text, January 2020

      Sort by:
      [ × clear filter / sort ]

      Figures / Tables found in this record:

      Fig. 1 (p. 6)figure
      Fig. 2 (p. 7)figure
      Fig. 3 (p. 7)figure
      Fig. 4 (p. 8)figure
      Fig. 5 (p. 8)figure
      Table 1 (p. 8)table
      Fig. 6 (p. 9)figure
      Fig. 7 (p. 10)figure
      Table 2 (p. 10)table
      Table 3 (p. 11)table
      Table 4 (p. 11)table
      Fig. 10 (p. 12)figure
      Fig. 8 (p. 12)figure
      Fig. 9 (p. 12)figure
      Table 5 (p. 13)table
      Table 6 (p. 13)table
      Table 7 (p. 14)table
      Fig. 11 (p. 15)figure
      Fig. 12 (p. 15)figure
      Fig. 13 (p. 16)figure
      Fig. 14 (p. 16)figure
      Fig. 15 (p. 17)figure
      Fig. 17 (p. 17)figure
      Fig.16 (p. 17)figure
      Fig. 18 (p. 18)figure
      Fig. 19 (p. 18)figure
      Fig. 20 (p. 18)figure
      Fig. 21 (p. 20)figure
      Table 8 (p. 20)table
      Fig. 22 (p. 21)figure
      Fig. 23 (p. 22)figure
      Fig. 24 (p. 22)figure
      Table 9 (p. 22)table
      Fig. 25 (p. 23)figure
      Table 10 (p. 23)table
      Fig.26 (p. 24)figure
      Fig. 27 (p. 25)figure
      Table 11 (p. 25)table
      Table 12 (p. 25)table
      Fig. 28 (p. 26)figure
      Fig. 29 (p. 28)figure
      Fig. 30 (p. 29)figure
      Table 13 (p. 29)table
      Fig. 31 (p. 30)figure
      Fig. 32 (p. 32)figure
      Table 14 (p. 32)table
      Fig. 33 (p. 33)figure
      Fig. 34 (p. 34)figure
      Fig. 35 (p. 35)figure
      Fig. 36 (p. 36)figure
      Fig. 37 (p. 37)figure
      Fig. 38 (p. 38)figure
      Fig. 39 (p. 38)figure
      Fig. 40 (p. 39)figure
      Fig. 41 (p. 41)figure
      Fig. 42 (p. 41)figure
      Fig. 43 (p. 42)figure
      Fig. 44 (p. 42)figure
      Fig. 45 (p. 42)figure
      Fig. 46 (p. 43)figure
      Fig. 47 (p. 43)figure
      Fig. 48 (p. 44)figure
      Table 15 (p. 44)table
      Fig. 49 (p. 46)figure
      Fig. 50 (p. 51)figure
      Fig. 51 (p. 52)figure
      Fig. 52 (p. 53)figure
      Table 16 (p. 55)table
      Fig. 53 (p. 56)figure
      Table 17 (p. 56)table
      Fig. 54 (p. 57)figure
      Table 18 (p. 57)table
      Table 19 (p. 57)table
      Fig. 55 (p. 58)figure
      Fig. 56 (p. 58)figure
      Fig. 57 (p. 60)figure
      Fig. 58 (p. 61)figure
      Fig. 59 (p. 62)figure
      Table 20 (p. 62)table
      Fig. 60 (p. 64)figure
      Fig. 61 (p. 64)figure
      Fig. 62 (p. 64)figure
      Fig. 63 (p. 65)figure
      Fig. 64 (p. 66)figure
      Fig. 65 (p. 67)figure
      Fig. 66 (p. 68)figure
      Fig. 67 (p. 69)figure
      Fig. 68 (p. 69)figure
      Fig. 69 (p. 70)figure
      Fig. 70 (p. 70)figure
      Fig. 71 (p. 71)figure
      Fig. 72 (p. 72)figure
      Fig. 73 (p. 73)figure
      Fig. 74 (p. 73)figure
      Fig. 75 (p. 74)figure
      Fig. 76 (p. 75)figure
      Fig. 77 (p. 75)figure
      Fig. 78 (p. 77)figure
      Fig. 79 (p. 78)figure
      Fig. 80 (p. 79)figure
        [ × clear filter / sort ]
        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

        Similar Records in DOE PAGES and OSTI.GOV collections: