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Title: BeyondPlanck: XII. Cosmological parameter constraints with end-to-end error propagation

Abstract

We present cosmological parameter constraints estimated using the Bayesian BEYONDPLANCK analysis framework. This method supports seamless end-to-end error propagation from raw time-ordered data onto final cosmological parameters. As a first demonstration of the method, we analyzed time-ordered Planck LFI observations, combined with selected external data (WMAP 33–61 GHz, Planck HFI DR4 353 and 857 GHz, and Haslam 408 MHz) in the form of pixelized maps that are used to break critical astrophysical degeneracies. Overall, all the results are generally in good agreement with previously reported values from Planck 2018 and WMAP, with the largest relative difference for any parameter amounting about 1σ when considering only temperature multipoles between 30 ≤ ℓ ≤ 600. In cases where there are differences, we note that the BEYONDPLANCK results are generally slightly closer to the high-ℓ HFI-dominated Planck 2018 results than previous analyses, suggesting slightly less tension between low and high multipoles. Using low-ℓ polarization information from LFI and WMAP, we find a best-fit value of τ = 0.066 ± 0.013, which is higher than the low value of τ = 0.052 ± 0.008 derived from Planck 2018 and slightly lower than the value of 0.069 ± 0.011 derived from the joint analysis ofmore » official LFI and WMAP products. Most importantly, however, we find that the uncertainty derived in the BEYONDPLANCK processing is about 30 % greater than when analyzing the official products, after taking into account the different sky coverage. We argue that this uncertainty is due to a marginalization over a more complete model of instrumental and astrophysical parameters, which results in more reliable and more rigorously defined uncertainties. We find that about 2000 Monte Carlo samples are required to achieve a robust convergence for a low-resolution cosmic microwave background (CMB) covariance matrix with 225 independent modes, and producing these samples takes about eight weeks on a modest computing cluster with 256 cores.« less

Authors:
ORCiD logo; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; « less
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
Planck Collaboration
OSTI Identifier:
2008308
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Astronomy and Astrophysics
Additional Journal Information:
Journal Volume: 675; Journal ID: ISSN 0004-6361
Publisher:
EDP Sciences
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmic background radiation; cosmological parameters; cosmology: observations

Citation Formats

Paradiso, S., Colombo, L. L., Andersen, K. J., Aurlien, R., Banerji, R., Basyrov, A., Bersanelli, M., Bertocco, S., Brilenkov, M., Carbone, M., Eriksen, H. K., Eskilt, J. R., Foss, M. K., Franceschet, C., Fuskeland, U., Galeotta, S., Galloway, M., Gerakakis, S., Gjerløw, E., Hensley, B., Herman, D., Iacobellis, M., Ieronymaki, M., Ihle, H. T., Jewell, J. B., Karakci, A., Keihänen, E., Keskitalo, R., Maggio, G., Maino, D., Maris, M., Partridge, B., Reinecke, M., San, M., Suur-Uski, A. -S., Svalheim, T. L., Tavagnacco, D., Thommesen, H., Watts, D. J., Wehus, I. K., and Zacchei, A. BeyondPlanck: XII. Cosmological parameter constraints with end-to-end error propagation. United States: N. p., 2023. Web. doi:10.1051/0004-6361/202244060.
Paradiso, S., Colombo, L. L., Andersen, K. J., Aurlien, R., Banerji, R., Basyrov, A., Bersanelli, M., Bertocco, S., Brilenkov, M., Carbone, M., Eriksen, H. K., Eskilt, J. R., Foss, M. K., Franceschet, C., Fuskeland, U., Galeotta, S., Galloway, M., Gerakakis, S., Gjerløw, E., Hensley, B., Herman, D., Iacobellis, M., Ieronymaki, M., Ihle, H. T., Jewell, J. B., Karakci, A., Keihänen, E., Keskitalo, R., Maggio, G., Maino, D., Maris, M., Partridge, B., Reinecke, M., San, M., Suur-Uski, A. -S., Svalheim, T. L., Tavagnacco, D., Thommesen, H., Watts, D. J., Wehus, I. K., & Zacchei, A. BeyondPlanck: XII. Cosmological parameter constraints with end-to-end error propagation. United States. https://doi.org/10.1051/0004-6361/202244060
Paradiso, S., Colombo, L. L., Andersen, K. J., Aurlien, R., Banerji, R., Basyrov, A., Bersanelli, M., Bertocco, S., Brilenkov, M., Carbone, M., Eriksen, H. K., Eskilt, J. R., Foss, M. K., Franceschet, C., Fuskeland, U., Galeotta, S., Galloway, M., Gerakakis, S., Gjerløw, E., Hensley, B., Herman, D., Iacobellis, M., Ieronymaki, M., Ihle, H. T., Jewell, J. B., Karakci, A., Keihänen, E., Keskitalo, R., Maggio, G., Maino, D., Maris, M., Partridge, B., Reinecke, M., San, M., Suur-Uski, A. -S., Svalheim, T. L., Tavagnacco, D., Thommesen, H., Watts, D. J., Wehus, I. K., and Zacchei, A. Wed . "BeyondPlanck: XII. Cosmological parameter constraints with end-to-end error propagation". United States. https://doi.org/10.1051/0004-6361/202244060. https://www.osti.gov/servlets/purl/2008308.
@article{osti_2008308,
title = {BeyondPlanck: XII. Cosmological parameter constraints with end-to-end error propagation},
author = {Paradiso, S. and Colombo, L. L. and Andersen, K. J. and Aurlien, R. and Banerji, R. and Basyrov, A. and Bersanelli, M. and Bertocco, S. and Brilenkov, M. and Carbone, M. and Eriksen, H. K. and Eskilt, J. R. and Foss, M. K. and Franceschet, C. and Fuskeland, U. and Galeotta, S. and Galloway, M. and Gerakakis, S. and Gjerløw, E. and Hensley, B. and Herman, D. and Iacobellis, M. and Ieronymaki, M. and Ihle, H. T. and Jewell, J. B. and Karakci, A. and Keihänen, E. and Keskitalo, R. and Maggio, G. and Maino, D. and Maris, M. and Partridge, B. and Reinecke, M. and San, M. and Suur-Uski, A. -S. and Svalheim, T. L. and Tavagnacco, D. and Thommesen, H. and Watts, D. J. and Wehus, I. K. and Zacchei, A.},
abstractNote = {We present cosmological parameter constraints estimated using the Bayesian BEYONDPLANCK analysis framework. This method supports seamless end-to-end error propagation from raw time-ordered data onto final cosmological parameters. As a first demonstration of the method, we analyzed time-ordered Planck LFI observations, combined with selected external data (WMAP 33–61 GHz, Planck HFI DR4 353 and 857 GHz, and Haslam 408 MHz) in the form of pixelized maps that are used to break critical astrophysical degeneracies. Overall, all the results are generally in good agreement with previously reported values from Planck 2018 and WMAP, with the largest relative difference for any parameter amounting about 1σ when considering only temperature multipoles between 30 ≤ ℓ ≤ 600. In cases where there are differences, we note that the BEYONDPLANCK results are generally slightly closer to the high-ℓ HFI-dominated Planck 2018 results than previous analyses, suggesting slightly less tension between low and high multipoles. Using low-ℓ polarization information from LFI and WMAP, we find a best-fit value of τ = 0.066 ± 0.013, which is higher than the low value of τ = 0.052 ± 0.008 derived from Planck 2018 and slightly lower than the value of 0.069 ± 0.011 derived from the joint analysis of official LFI and WMAP products. Most importantly, however, we find that the uncertainty derived in the BEYONDPLANCK processing is about 30 % greater than when analyzing the official products, after taking into account the different sky coverage. We argue that this uncertainty is due to a marginalization over a more complete model of instrumental and astrophysical parameters, which results in more reliable and more rigorously defined uncertainties. We find that about 2000 Monte Carlo samples are required to achieve a robust convergence for a low-resolution cosmic microwave background (CMB) covariance matrix with 225 independent modes, and producing these samples takes about eight weeks on a modest computing cluster with 256 cores.},
doi = {10.1051/0004-6361/202244060},
journal = {Astronomy and Astrophysics},
number = ,
volume = 675,
place = {United States},
year = {Wed Jun 28 00:00:00 EDT 2023},
month = {Wed Jun 28 00:00:00 EDT 2023}
}

Works referenced in this record:

The Atacama Cosmology Telescope: cosmological parameters from three seasons of data
journal, October 2013

  • Sievers, Jonathan L.; Hlozek, Renée A.; Nolta, Michael R.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
  • DOI: 10.1088/1475-7516/2013/10/060

Beyondplanck
journal, June 2023


Structure in the COBE differential microwave radiometer first-year maps
journal, September 1992

  • Smoot, G. F.; Bennett, C. L.; Kogut, A.
  • The Astrophysical Journal, Vol. 396
  • DOI: 10.1086/186504

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

Multi-resolution Bayesian CMB component separation through Wiener filtering with a pseudo-inverse preconditioner
journal, July 2019


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


Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets?
journal, May 1997

  • Tegmark, Max; Taylor, Andy N.; Heavens, Alan F.
  • The Astrophysical Journal, Vol. 480, Issue 1
  • DOI: 10.1086/303939

Parameter inference with estimated covariance matrices
journal, December 2015

  • Sellentin, Elena; Heavens, Alan F.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 456, Issue 1
  • DOI: 10.1093/mnrasl/slv190

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


Cosmic Microwave Background Likelihood Approximation for Banded Probability Distributions
journal, October 2013


Beyondplanck
journal, June 2023


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


New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope : Implications for the Hubble Constant
journal, March 2018

  • Riess, Adam G.; Casertano, Stefano; Yuan, Wenlong
  • The Astrophysical Journal, Vol. 855, Issue 2
  • DOI: 10.3847/1538-4357/aaadb7

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

Power Spectrum Estimation from High‐Resolution Maps by Gibbs Sampling
journal, December 2004

  • Eriksen, H. K.; O’Dwyer, I. J.; Jewell, J. B.
  • The Astrophysical Journal Supplement Series, Vol. 155, Issue 2
  • DOI: 10.1086/425219

Planck 2015 results : I. Overview of products and scientific results
journal, September 2016


A novel CMB polarization likelihood package for large angular scales built from combined WMAP and Planck LFI legacy maps
journal, November 2020


Planck 2018 results: V. CMB power spectra and likelihoods
journal, September 2020


On determining the spectrum of primordial inhomogeneity from the COBE DMR sky maps: Method
journal, August 1994

  • Gorski, Krzysztof M.
  • The Astrophysical Journal, Vol. 430
  • DOI: 10.1086/187444

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


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


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

KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
journal, February 2021


Planck intermediate results: LVII. Joint Planck LFI and HFI data processing
journal, November 2020


Beyondplanck
journal, June 2023


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


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


A flat Universe from high-resolution maps of the cosmic microwave background radiation
journal, April 2000

  • de Bernardis, P.; Ade, P. A. R.; Bock, J. J.
  • Nature, Vol. 404, Issue 6781
  • DOI: 10.1038/35010035

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


Application of Monte Carlo Algorithms to the Bayesian Analysis of the Cosmic Microwave Background
journal, July 2004

  • Jewell, J.; Levin, S.; Anderson, C. H.
  • The Astrophysical Journal, Vol. 609, Issue 1
  • DOI: 10.1086/383515

Beyondplanck
journal, June 2023


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


The Quest for B Modes from Inflationary Gravitational Waves
journal, September 2016


Improved limits on the tensor-to-scalar ratio using BICEP and P l a n c k data
journal, April 2022


Planck 2013 results. I. Overview of products and scientific results
journal, October 2014


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

NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
journal, September 2013

  • Hinshaw, G.; Larson, D.; Komatsu, E.
  • The Astrophysical Journal Supplement Series, Vol. 208, Issue 2
  • DOI: 10.1088/0067-0049/208/2/19

Estimation of Polarized Power Spectra by Gibbs Sampling
journal, February 2007

  • Larson, D. L.; Eriksen, H. K.; Wandelt, B. D.
  • The Astrophysical Journal, Vol. 656, Issue 2
  • DOI: 10.1086/509802

Optimized Large-Scale cmb Likelihood and Quadratic Maximum Likelihood Power Spectrum Estimation
journal, October 2015

  • Gjerløw, E.; Colombo, L. P. L.; Eriksen, H. K.
  • The Astrophysical Journal Supplement Series, Vol. 221, Issue 1
  • DOI: 10.1088/0067-0049/221/1/5

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


Global, exact cosmic microwave background data analysis using Gibbs sampling
journal, October 2004

  • Wandelt, Benjamin D.; Larson, David L.; Lakshminarayanan, Arun
  • Physical Review D, Vol. 70, Issue 8
  • DOI: 10.1103/PhysRevD.70.083511

Beyondplanck
journal, June 2023


Efficient sampling of fast and slow cosmological parameters
journal, May 2013


Planck constraints on the tensor-to-scalar ratio
journal, March 2021


Beyondplanck
journal, June 2023