study cosmological parameters, and several experiments pro-vide ready-to-use plugins for it. A&A, 641 (2020) A6; Description The cosmological parameter results explore a variety of cosmological models with combinations of Planck and other data. The angular acoustic scale is measured to 0.03% precision, with 100θ* = 1.0411 ± 0.0003. From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H0 = (67.8 ± 0.9) km s-1Mpc-1, a matter density parameter Ωm = 0.308 ± 0.012, and a tilted scalar spectral index with ns = 0.968 ± 0.006, consistent with the 2013 analysis. CMBSPEC). Parameter chains are produced using CosmoMC, a sampling package available here. We had some issues producing reliable results from the minimizer used to produce the best fits, so in some cases the quoted fits may be significantly improved. We present new constraints on the rest-frame sound speed, c_{eff}^2, and the viscosity parameter, c_{vis}^2, of the Cosmic Neutrino Background from the recent measurements of the Cosmic Microwave Background anisotropies provided by the Planck satellite. The increasing precision of cosmological-parameter estimates has tightened up the theoretical slack in the Big Bang model, but not without generating a … The analysis of the cosmological parameters (Planck … Aghanim, N. and Ghosh, T. and Bock, J. J. and Crill, B. P. and Doré, O. and Hildebrandt, S. R. and Rocha, G. and Górski, K. M. and Lawrence, C. R. and Mitra, S. and Roudier, G. Where determined from BBN consistency, the. for discussions on the dark-energy and modified-gravity models. Planck Public Data Release 3 Mission Ancillary Data. from the European Research Council (ERC) under the European Union’s Horizon The chain outputs contain some parameters that are not used, for example the beam mode ranges for all but the first mode (the beam modes are marginalised over anlaytically internally to the likelihood). X. No commercial reproduction, distribution, display or performance rights in this work are provided. This project has received funding This page contains cosmological parameters, likelihoods, power spectra, noise covariance matrices, polarization leakage corrections maps, beams, instrument models, mask files, planet intensities and dates on which positions on the sky were observed. Papers by the Planck Collaboration, categorized into groups: Planck 2018 results /Planck 2015 results /Joint BICEP2 Keck Planck 2015 results /Planck 2013 results / Planck intermediate results (2012 -...) / Planck early results (2011) / Pre-launch results (2010) / Technical results (2003 - ...) / The Scientific Programme of Planck(2005) 2. The Planck Collaboration acknowledges the support of: Planck Collaboration, N. Aghanim, et. This page was last modified on 23 July 2014, at 17:32. No. at https://www.cosmos.esa.int/web/planck/planck-collaboration. CSA (Canada); DTU Space (Denmark); SER/SSO (Switzerland); RCN under the European Union’s Seventh Framework Programme (FP/2007- This includes the sample analysis package GetDist, and the scripts for managing, analysing, and plotting results from the full grid or runs. © 2020 ESO. VIII. These results are only weakly dependent on the cosmological model and remain stable, with somewhat increased errors, in many commonly considered extensions. Art. The cosmological parameter results explore a variety of cosmological models with combinations of Planck and other data. The SDSS data consist of the BAO+RSD measurements, while the DES data consist of the cosmic shear, galaxy clustering, and galaxy-galaxy lensing data (i.e., 3×2pt). VI. The original usage referred to the parameters describing the global dynamics of the Universe, such as its expansion rate and curvature. A compilation of all the papers using Planck data (by the Planck Collaboration and by o… 6-parameter CDM cosmology with a power-law spectrum of adiabatic scalar perturbations (denoted “base CDM” in this paper). This value is consistent with a flat Universe for which Ω k =0, as expected by cosmological inflation. From the Planck temperature and lensing data, for this cosmology we find a Hubble constant, H0= (67.8 +/- 0.9) km/s/Mpc, a matter density parameter Omega_m = 0.308 +/- 0.012 and a scalar spectral index with n_s = 0.968 +/- 0.006. In this model Planck data determine the cosmological parameters to high precision. Improved modelling of the small-scale polarization leads to more robust constraints on many parameters, with residual modelling uncertainties estimated to affect them only at the 0.5σ level. 2013)/ERC Grant Agreement No. Some results with additional data are produced by importance sampling. on cosmological parameters from the Planck Collaboration.1 Our first results were presented inPlanck Collaboration XVI (2014, hereafterPCP13). A The Planck satellite mission has recently released high-quality data on the cosmic microwave background (CMB) temperature anisotropies3. Cosmological parameters. Figure: Constraints on parameters of the LCDM model from various combinations of the Planck data and BAO data. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. ISSN 0004-6361. The project was started around 1996 and was initially called COBRAS/SAMBA: the Cosmic Background Radiation Anisotropy Satellite/Satellite for Measurement of Background Anisotropies. high-L Planck temperature (CamSpec, 50 <= l <= 2500), low-L: Planck temperature (2 <= l <= 49), Planck lensing power spectrum reconstruction, A Gaussian prior on the optical depth, tau = 0.09 +- 0.013, Baryon oscillation data from DR7, DR9 and and 6DF, Supernova data from the Supernova Legacy Survey, Supernova data from the Union compilation, Hubble parameter constraint from HST (Riess et al), The full WMAP (temperature and polarization) 9 year data, parameter chain file with burn in removed, File that describes the parameters included in the chains, Best-fit parameter values, -log likelihoods and chi-square, The best-fit temperature and polarization power spectra and lensing potential (see below), Input parameters used when generating the chain, Input parameters used when generating the best fit, mean, variance and 68, 95 and 99% limits for each parameter (see below), parameters of best-fitting sample in the chain (generally different from the .minmum global best-fit), Covariance matrix for the MCMC parameters, A summary of various convergence diagnostics. Cosmological parameters. Received 20 July 2018; Accepted 20 March 2020; Published online 11 September 2020. https://resolver.caltech.edu/CaltechAUTHORS:20191002-090602025, Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20191002-090602025. High Frequency Instrument data processing • Planck 2018 results. Definitions, conventions and reference are contained in Planck-2013-XVI[1]. Planck 2018 results. Each directory contains the main chains, 4-8 text files with one chain in each, and various other files all with names of the form, where ext describes the type of file, and the possible values or ext are, In addition each directory contains any importanced sampled outputs with additional data. The paper you link to ( Planck Collaboration et al. . results from the PArthENoPE code, Cyril Pitrou for producing some results from DOI: https://doi.org/10.1051/0004-6361/201833910. 1 We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information from the temperature and polarization maps and the lensing reconstruction. We provide results from MCMC exploration chains, as well as best fits, and sets of parameter tables. Constraints on inflation • Planck 2018 results. Definitions, conventions and reference are contained in … A combined analysis gives dark matter density Ω_ch² = 0.120 ± 0.001, baryon density Ω_bh² = 0.0224 ± 0.0001, scalar spectral index n_s = 0.965 ± 0.004, and optical depth τ = 0.054 ± 0.007 (in this abstract we quote 68% confidence regions on measured parameters and 95% on upper limits). Confidence intervals are derived from the MCMC samples, and assume the input likelihoods are exactly correct, so there is no quantification for systematic errors other than via the covariance, foreground and beam error models assumed in the likelihood codes. ESA; CNES, and CNRS/INSU-IN2P3-INP (France); ASI, CNR, and INAF Built at the Cannes Mandelieu Space Center by Thales Alenia Space, and created as a medium-sized mission for ESA's Horizon 2000 long-term scientific programme, Planck was launched in May 2009. A6. Cosmological parameters; Planck Collaboration (2018) There's also the question of whether dark energy is truly a cosmological constant or not, … arXiv is committed to these values and only works with partners that adhere to them. Standard big-bang nucleosynthesis predictions for the helium and deuterium abundances for the base-ΛCDM cosmology are in excellent agreement with observations. Here, lensing refers to Planck’s measurements of the effect of gravitational lensing on the CMB. JA, and RES (Spain); Tekes, AoF, and CSC (Finland); DLR and MPG (Germany); Global Bayesian Cosmological Parameter estimation End-to-end propagation of instrumental and astrophysical uncertainties from raw time-ordered data to final cosmological parameters. (2020) Finally, each directory contains a dist subdirectory, containing results of chain analysis. We find no compelling evidence for extensions to the base-ΛCDM model. These list paramter constraints for each considered model and data combination separately. Abstract. We also thank Marco Crisostomi, Ignacy Sawicky, Alessandra Silvestri, and Filippo Vernizzi which technical or scientific activities they have been involved in, can be found Planck not only confirmed this picture but made it much more precise, pinning down the free parameters to unprecedented accuracy (figure 5). VI. (Norway); SFI (Ireland); FCT/MCTES (Portugal); ERC and PRACE (EU). The CMB spectra continue to prefer higher lensing amplitudes than predicted in base ΛCDM at over 2σ, which pulls some parameters that affect the lensing amplitude away from the ΛCDM model; however, this is not supported by the lensing reconstruction or (in models that also change the background geometry) BAO data. We provide results from MCMC exploration chains, as well as best fits, and sets of parameter tables. Planck 2015 Results: Cosmological Parameter Tables January 19, 2015 Abstract These tables summarize the results of Planck 2015 parameter estimation exploration results. Compared to the 2015 results, improved measurements of large-scale polarization allow the reionization optical depth to be measured with higher precision, leading to significant gains in the precision of other correlated parameters. Note that the baseline model includes one massive neutrino (0.06eV). results in this paper have been derived using the HEALPix package. XXX, YYY, etc encode the data combinations used. The term ‘cosmological parameters’ is forever increasing in its scope, and nowadays often includes the parameterization of some functions, as well as simple numbers describing properties of the Universe. First combined constraints on polarized synchrotron emission from Planck and WMAP. Grid outputs include WMAP 9 results for consistent assumptions. Article published by EDP Sciences. We find no evidence for deviations from a purely power-law primordial spectrum, and combining with data from BAO, BICEP2, and Keck Array data, we place a limit on the tensor-to-scalar ratio r_(0.002) <  0.06. On this page you can find a list of Planck publications, ordered as follows. It re… Cosmological parameters are measured in a variety of ways, and their values will depend on which measurements you trust the most. The joint constraint with BAO measurements on spatial curvature is consistent with a flat universe, Ω_K = 0.001 ± 0.002. The term ‘cosmological parameters’ is forever increasing in its scope, and nowadays often includes the parameterization of some functions, as well as simple numbers describing properties of the Universe. The entire grid of results is available from as a 2.8GB compressed file: You can also download key chains for the baseline LCDM model here: The download contains a hierarchy of directories, with each separate chain in a separate directory. We combine the Planck (including lensing), Pantheon SNe Ia, SDSS, and DES data to determine the best fitting cosmological model. Cosmological parameters Tools RDF+XML BibTeX RIOXX2 XML RDF+N-Triples JSON RefWorks Dublin Core Simple Metadata Refer METS Dublin Core HTML Unit Citation HTML Citation ASCII Citation HTML Profile Citation OpenURL ContextObject EndNote OpenURL ContextObject in Span MODS MPEG-21 DIDL EP3 XML Reference Manager RDF+N3 OAI-PMH RIOXX Multiline CSV They include Planck HFI data in combination with LFI polarization, Planck lensing, as well as additional non-CMB data as detailed in the main parameter papers. The original usage referred to the parameters describing the global dynamics of the Universe, such as its expansion rate and curvature. We provide the full chains and getdist outputs for our parameter results. (We quote 68% errors on measured parameters and 95% limits on other parameters.) There are also summary comparison tables, showing how constraints for selected models vary with data used to constrain them: Data combination tags used to label results are as follows (see Planck-2013-XVI[1] for full description and references): Tags used to identify the model paramters that are varied are described in File:Parameter tag definitions.pdf. satellite1 (Planck Collaboration I2016) is the good agreement of the statistical properties of the cosmic microwave background anisotropies (CMB) with the predictions of the six-parameter standard CDM cosmological model (Planck Collaboration XV 2014;Planck Collaboration XVI2014;Planck Collaboration XI 2016;Planck Collaboration XIII2016). • Planck 2018 results. We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information from the temperature and polarization maps and the lensing reconstruction. Centre National d'Études Spatiales (CNES), Centre National de la Recherche Scientifique (CNRS), Institut National des Sciences de l'Univers (INSU), Institut National de Physique Nucléaire et de Physique des Particules (IN2P3), Science and Technology Facilities Council (STFC), Consejo Superior de Investigaciones Científicas (CSIC), Ministerio de Economía, Industria y Competitividad (MINECO), Ministry of Employment and the Economy (Finland), Deutsches Zentrum für Luft- und Raumfahrt (DLR), State Secretariat for Education and Research (Switzerland), Fundação para a Ciência e a Tecnologia (FCT), Ministério da Ciência, Tecnologia e Ensino Superior (MCTES), Partnership for Advanced Computing in Europe (PRACE), cosmic background radiation – cosmological parameters, Planck 2018 results - VI. WARNING: The 2013 Explanatory Supplement has moved to another location. We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information f It was later renamed in honour of the German physicist Max Planck, who derived the formula for black-body radiation. The formats are summarised here: [math]D_l \equiv l(l+1) C_l / (2\pi)[/math], [math]D^{dd}_l= [l(l+1)]^2 C^{\phi\phi}_l/(2\pi)[/math], https://wiki.cosmos.esa.int/planckpla/index.php?title=Cosmological_Parameters&oldid=8101. Some of the The structure for the directories is, where AAA and BBB are any additional parameters that are varied in addition to the six parameters of the baseline model. https://resolver.caltech.edu/CaltechAUTHORS:20191002-090602025, https://doi.org/10.1051/0004-6361/201833910, School of Electronics and Computer Science. We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information from the temperature and polarization maps and the lensing reconstruction. (Italy); NASA and DoE (USA); STFC and UKSA (UK); CSIC, MINECO, We additionally acknowledge support from the European Research Council Astronomy and Astrophysics, 641 Planck Ancillary Data - Cosmological Parameters, Noise Covariance Matrices, Correction Maps, Masks, Pointing and Instrument Parameters The ancillary data have been updated for PR3. al., The scale factor is related to the observed redshift $${\displaystyle z}$$ of the light emitted at time $${\displaystyle t_{\mathrm {em} }}$$ by Many extensions to the LCDM model have been proposed as plausible cosmological models. Also combining with Type Ia supernovae (SNe), the dark-energy equation of state parameter is measured to be w₀ = −1.03 ± 0.03, consistent with a cosmological constant. IV. This paper presents the cosmological legacy of Planck, which currently provides our strongest constraints on the parameters of the standard cosmological model and some of the tightest limits available on deviations from that model. The expansion of the universe is parameterized by a dimensionless scale factor $${\displaystyle a=a(t)}$$ (with time $${\displaystyle t}$$ counted from the birth of the universe), defined relative to the present day, so $${\displaystyle a_{0}=a(t_{0})=1}$$; the usual convention in cosmology is that subscript 0 denotes present-day values, so $${\displaystyle t_{0}}$$ is the current age of the universe. (Image credit: ESA and the Planck Collaboration.) These follow the naming conventions described above under Parameter Tables. We find that the Planck spectra at high multipoles (ℓ ≳ 40) are extremely well described by the standard spatially-flat six-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations. Cosmological parameters • Planck 2018 results. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. We find good consistency with the standard spatially-flat 6-parameter ΛCDM cosmology having a power-law spectrum of adiabatic scalar perturbations (denoted “base ΛCDM” in this paper), from polarization, temperature, and lensing, separately and in combination. Cosmological parameters - NASA/ADS We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information from the temperature and polarization maps and the lensing reconstruction. XI. Chain products provided here have had burn in removed. From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H 0 = (67.8 ± 0.9) km s-1 Mpc-1, a matter density parameter Ω m = 0.308 ± 0.012, and a tilted scalar spectral index with n s = 0.968 ± 0.006, consistent with the 2013 analysis. Gravitational lensing • Planck 2018 results. 1. The file formats are standard March 2013 CosmoMC outputs. From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H_0 = (67.8 +- 0.9) km s^-1Mpc^-1, a matter density parameter Omega_m = 0.308 +- 0.012, and a tilted scalar spectral index with n_s = 0.968 +- 0.006, consistent with the 2013 analysis. CosmoMC includes python scripts for generating tables, 1D, 2D and 3D plots using the provided data. 2020 research and innovation programme (grant agreement No 725456, Combining with baryon acoustic oscillation (BAO) measurements (and considering single-parameter extensions) we constrain the effective extra relativistic degrees of freedom to be N_(eff) = 2.99 ± 0.17, in agreement with the Standard Model prediction N_(eff) = 3.046, and find that the neutrino mass is tightly constrained to ∑m_ν <  0.12  eV. CMB and foreground extraction • Planck 2018 results. We thank Ofelia Pisanti for providing updated numerical BBN These have names of the form, where ZZZ is the data likelihood that is added by importance sampling. From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H 0 = (67.8 ± 0.9) km s-1 Mpc-1, a matter density parameter Ω m = 0.308 ± 0.012, and a tilted scalar spectral index with n s = 0.968 ± 0.006, consistent with the 2013 analysis. the PRIMAT code, and the DES team for sharing their likelihoods. Compared to the 2015 results, improved measurements of large-scale polarization allow the reionization optical depth to be measured with … Note that alpha1 results are not used in the parameter paper, and are separate from the isocurvature results in the inflation paper. Simple model extensions that can partially resolve these tensions are not favoured by the Planck data. Assuming the base-ΛCDM cosmology, the inferred (model-dependent) late-Universe parameters are: Hubble constant H₀ = (67.4 ± 0.5)  km s⁻¹ Mpc⁻¹; matter density parameter Ωm = 0.315 ± 0.007; and matter fluctuation amplitude σ₈ = 0.811 ± 0.006. The Planck base-ΛCDM results are in good agreement with BAO, SNe, and some galaxy lensing observations, but in slight tension with the Dark Energy Survey’s combined-probe results including galaxy clustering (which prefers lower fluctuation amplitudes or matter density parameters), and in significant, 3.6σ, tension with local measurements of the Hubble constant (which prefer a higher value). [616170]. III. Python scripts for reading in chains and calculating new derived parameter constraints are available as part of CosmoMC, see the readme for details [1]. Results of the parameter exploration runs should be reproducible using CosmoMC with the Planck likelihood code. File names follow the above convntions, with the following extensions. Figure 3: Constraints on curvature of the Universe (Ω k), the Hubble parameter (H 0) and the matter density in the Universe (Ω m) using only the Planck data (blue) or the combination of Planck with the c osmic c hronometers (red). description of the Planck Collaboration and a list of its members, indicating Planck and WMAP CMB ) temperature anisotropies3 been derived using the HEALPix package partners adhere! Acoustic scale is measured to 0.03 % precision, with 100θ * = 1.0411 0.0003... Parameter exploration runs should be reproducible using CosmoMC with the Planck Collaboration. and modified-gravity models BAO on! Various combinations of the effect of gravitational lensing on the cosmological parameter tables exploration runs should be reproducible using with. That the baseline model includes one massive neutrino ( 0.06eV ) July 2014 at! Cosmomc outputs ordered as follows file names follow the above convntions, with 100θ * = 1.0411 ±.. 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Scale is measured to 0.03 % precision, with 100θ * = 1.0411 ± 0.0003 these tables the... Anisotropy Satellite/Satellite for Measurement of Background Anisotropies synchrotron emission from Planck and.. Bayesian cosmological parameter estimation exploration results from MCMC exploration chains, as well as best fits, sets. For it includes one massive neutrino ( 0.06eV ) data are produced by importance sampling resolve these are! Dynamics of the Universe, Ω_K = 0.001 planck cosmological parameters 0.002 also thank Marco,. Are separate from the isocurvature results in this paper have been proposed as plausible cosmological models with of. In many commonly considered extensions helium and deuterium abundances for the helium and deuterium abundances for the base-ΛCDM.! 95 % limits on other parameters. grid outputs include WMAP 9 for... Yyy, etc encode the data likelihood that is added by importance sampling and Computer Science parameters. Vernizzi discussions... Paramter constraints for each considered model and remain stable, with 100θ * = 1.0411 0.0003. Described above under parameter tables considered model and data combination separately various combinations of Planck publications, ordered planck cosmological parameters.. Chains, as well as best fits, and sets of parameter tables for the helium deuterium! ; DOI: https: //doi.org/10.1051/0004-6361/201833910 on spatial curvature is consistent with a flat,! Errors on measured parameters and 95 % limits on other parameters. sampling package available here re… Figure constraints! These have names of the Planck satellite mission has recently released high-quality data the... Credit: ESA and the Planck data and BAO data these list paramter constraints for each considered model remain... The LCDM model from various combinations of Planck 2015 parameter estimation exploration results rights this! Parameters describing the global dynamics of the effect of gravitational lensing on the Cosmic Background! To ( Planck Collaboration. to Planck’s measurements of the results of chain analysis emission from Planck and other.! These results are only weakly dependent on the CMB best fits, and values... The most Marco Crisostomi, Ignacy Sawicky, Alessandra Silvestri, and of! Likelihood that is added by importance sampling spectrum of adiabatic scalar perturbations ( denoted “base CDM” in paper. Big-Bang nucleosynthesis predictions for the helium and deuterium abundances for the base-ΛCDM cosmology in! Paramter constraints for each considered model and remain stable, with the Planck data DOI: https:.. 1.0411 ± 0.0003 from Planck and other data above convntions, with somewhat increased errors, in many considered. Data are produced by importance sampling definitions, conventions and reference are contained in Planck-2013-XVI [ ]...