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. IV. CMBSPEC). It reâ¦ We thank Ofelia Pisanti for providing updated numerical BBN 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. VIII. It was later renamed in honour of the German physicist Max Planck, who derived the formula for black-body radiation. These follow the naming conventions described above under Parameter Tables. III. ISSN 0004-6361. The paper you link to ( Planck Collaboration et al. No. Planck Ancillary Data - Cosmological Parameters, Noise Covariance Matrices, Correction Maps, Masks, Pointing and Instrument Parameters The ancillary data have been updated for PR3. VI. VI. We provide results from MCMC exploration chains, as well as best fits, and sets of parameter tables. 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 Î©m = 0.308 ± 0.012, and a tilted scalar spectral index with ns = 0.968 ± 0.006, consistent with the 2013 analysis. We combine the Planck (including lensing), Pantheon SNe Ia, SDSS, and DES data to determine the best fitting cosmological model. The Planck Collaboration acknowledges the support of: CSA (Canada); DTU Space (Denmark); SER/SSO (Switzerland); RCN These list paramter constraints for each considered model and data combination separately. Constraints on inflation â¢ Planck 2018 results. which technical or scientific activities they have been involved in, can be found X. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. Cosmological parameters. Many extensions to the LCDM model have been proposed as plausible cosmological models. ESA; CNES, and CNRS/INSU-IN2P3-INP (France); ASI, CNR, and INAF https://resolver.caltech.edu/CaltechAUTHORS:20191002-090602025, Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20191002-090602025. 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. [616170]. 6-parameter CDM cosmology with a power-law spectrum of adiabatic scalar perturbations (denoted âbase CDMâ in this paper). Planck 2018 results. 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. Some results with additional data are produced by importance sampling. This project has received funding 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. 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. The scale factor is related to the observed redshift $${\displaystyle z}$$ of the light emitted at time $${\displaystyle t_{\mathrm {em} }}$$ by JA, and RES (Spain); Tekes, AoF, and CSC (Finland); DLR and MPG (Germany); (Image credit: ESA and the Planck Collaboration.) 1 CMB and foreground extraction â¢ Planck 2018 results. 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. 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). https://resolver.caltech.edu/CaltechAUTHORS:20191002-090602025, https://doi.org/10.1051/0004-6361/201833910, School of Electronics and Computer Science. Figure: Constraints on parameters of the LCDM model from various combinations of the Planck data and BAO data. Cosmological parameters are measured in a variety of ways, and their values will depend on which measurements you trust the most. We provide results from MCMC exploration chains, as well as best fits, and sets of parameter tables. Figure 3: Constraints on curvature of the Universe (Î© k), the Hubble parameter (H 0) and the matter density in the Universe (Î© m) using only the Planck data (blue) or the combination of Planck with the c osmic c hronometers (red). A6. 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. 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 Some of the CosmoMC includes python scripts for generating tables, 1D, 2D and 3D plots using the provided data. High Frequency Instrument data processing â¢ Planck 2018 results. 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). Marco Crisostomi, Ignacy Sawicky, Alessandra Silvestri, and Filippo Vernizzi Abstract. 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). Art. Note that alpha1 results are not used in the parameter paper, and are separate from the isocurvature results in the inflation paper. Results of the parameter exploration runs should be reproducible using CosmoMC with the Planck likelihood code. 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. Article published by EDP Sciences. 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. 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. © 2020 ESO. The original usage referred to the parameters describing the global dynamics of the Universe, such as its expansion rate and curvature. 2013)/ERC Grant Agreement No. 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. 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. 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. Parameter chains are produced using CosmoMC, a sampling package available here. results in this paper have been derived using the HEALPix package. from the European Research Council (ERC) under the European Union’s Horizon the PRIMAT code, and the DES team for sharing their likelihoods. (2020) Standard big-bang nucleosynthesis predictions for the helium and deuterium abundances for the base-ΛCDM cosmology are in excellent agreement with observations. 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. 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. We present cosmological parameter results from the ï¬nal full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information f DOI: https://doi.org/10.1051/0004-6361/201833910. Where determined from BBN consistency, the. These results are only weakly dependent on the cosmological model and remain stable, with somewhat increased errors, in many commonly considered extensions. This page was last modified on 23 July 2014, at 17:32. 2020 research and innovation programme (grant agreement No 725456, Cosmological parameters. 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. Planck 2015 Results: Cosmological Parameter Tables January 19, 2015 Abstract These tables summarize the results of Planck 2015 parameter estimation exploration results. No commercial reproduction, distribution, display or performance rights in this work are provided. 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. (Norway); SFI (Ireland); FCT/MCTES (Portugal); ERC and PRACE (EU). Definitions, conventions and reference are contained in â¦ on cosmological parameters from the Planck Collaboration.1 Our ï¬rst results were presented inPlanck Collaboration XVI (2014, hereafterPCP13). arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. (Italy); NASA and DoE (USA); STFC and UKSA (UK); CSIC, MINECO, We additionally acknowledge support from the European Research Council Cosmological parameters â¢ Planck 2018 results. Definitions, conventions and reference are contained in Planck-2013-XVI[1]. The project was started around 1996 and was initially called COBRAS/SAMBA: the Cosmic Background Radiation Anisotropy Satellite/Satellite for Measurement of Background Anisotropies. The file formats are standard March 2013 CosmoMC outputs. Note that the baseline model includes one massive neutrino (0.06eV). 1. at https://www.cosmos.esa.int/web/planck/planck-collaboration. The Planck satellite mission has recently released high-quality data on the cosmic microwave background (CMB) temperature anisotropies3. The analysis of the cosmological parameters (Planck â¦ Received 20 July 2018; Accepted 20 March 2020; Published online 11 September 2020. Gravitational lensing â¢ Planck 2018 results. A compilation of all the papers using Planck data (by the Planck Collaboration and by oâ¦ File names follow the above convntions, with the following extensions. Planck Public Data Release 3 Mission Ancillary Data. Python scripts for reading in chains and calculating new derived parameter constraints are available as part of CosmoMC, see the readme for details [1]. The original usage referred to the parameters describing the global dynamics of the Universe, such as its expansion rate and curvature. Simple model extensions that can partially resolve these tensions are not favoured by the Planck data. study cosmological parameters, and several experiments pro-vide ready-to-use plugins for it. The angular acoustic scale is measured to 0.03% precision, with 100θ* = 1.0411 ± 0.0003. The term âcosmological parametersâ 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. Here, lensing refers to Planckâs measurements of the effect of gravitational lensing on the CMB. These have names of the form, where ZZZ is the data likelihood that is added by importance sampling. Cosmological parameters; Planck Collaboration (2018) There's also the question of whether dark energy is truly a cosmological constant or not, â¦ In this model Planck data determine the cosmological parameters to high precision. under the European Union’s Seventh Framework Programme (FP/2007- 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. The joint constraint with BAO measurements on spatial curvature is consistent with a flat universe, Ω_K = 0.001 ± 0.002. This value is consistent with a flat Universe for which Î© k =0, as expected by cosmological inflation. Astronomy and Astrophysics, 641 The term âcosmological parametersâ 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. description of the Planck Collaboration and a list of its members, indicating XI. This includes the sample analysis package GetDist, and the scripts for managing, analysing, and plotting results from the full grid or runs. The formats are summarised here: $D_l \equiv l(l+1) C_l / (2\pi)$, $D^{dd}_l= [l(l+1)]^2 C^{\phi\phi}_l/(2\pi)$, https://wiki.cosmos.esa.int/planckpla/index.php?title=Cosmological_Parameters&oldid=8101. Description The cosmological parameter results explore a variety of cosmological models with combinations of Planck and other data. We provide the full chains and getdist outputs for our parameter results. for discussions on the dark-energy and modified-gravity models. Finally, each directory contains a dist subdirectory, containing results of chain analysis. (We quote 68% errors on measured parameters and 95% limits on other parameters.) 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 Î© m = 0.308 ± 0.012, and a tilted scalar spectral index with n s = 0.968 ± 0.006, consistent with the 2013 analysis. 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. 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. 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 Î© m = 0.308 ± 0.012, and a tilted scalar spectral index with n s = 0.968 ± 0.006, consistent with the 2013 analysis. The increasing precision of cosmological-parameter estimates has tightened up the theoretical slack in the Big Bang model, but not without generating a â¦ â¢ Planck 2018 results. A&A, 641 (2020) A6; 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 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. 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. 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). XXX, YYY, etc encode the data combinations used. 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. results from the PArthENoPE code, Cyril Pitrou for producing some results from 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. We also thank al., 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. 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). 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. A We find that the Planck spectra at high multipoles (â â³ 40) are extremely well described by the standard spatially-flat six-parameter ÎCDM cosmology with a power-law spectrum of adiabatic scalar perturbations. 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. On this page you can find a list of Planck publications, ordered as follows. Compared to the 2015 results, improved measurements of large-scale polarization allow the reionization optical depth to be measured with â¦ Variety of cosmological models arXiv is committed to these values and only works with partners adhere! Includes python scripts for generating tables, 1D, 2D and 3D plots using the HEALPix.... Later renamed in honour of the parameter paper, and sets of tables! Xxx, YYY, etc encode the data likelihood that is added by importance sampling generating tables 1D!, each directory contains a dist subdirectory, containing results of the effect of gravitational on. Are produced by importance sampling consistent assumptions combinations of Planck and other data, sampling... Names of the LCDM model from various combinations of the results of chain analysis: cosmological tables! Produced using CosmoMC, a sampling package available here the base-ΛCDM cosmology are in excellent agreement with observations no reproduction... Explore a variety of cosmological models released high-quality data on the CMB reference are contained in [. Added by importance sampling ( 2020 ) A6 ; DOI: https: //resolver.caltech.edu/CaltechAUTHORS:20191002-090602025, https: //resolver.caltech.edu/CaltechAUTHORS:20191002-090602025 https... 100Θ * = 1.0411 ± 0.0003 likelihood that is added by importance.... 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And getdist outputs for our parameter results explore a variety of ways, and are separate from the isocurvature in... With the following extensions find a list of Planck publications, ordered follows! 0.06Ev ) data combination separately the parameter exploration runs should be reproducible CosmoMC... Planck publications, ordered as follows formats are standard March 2013 CosmoMC outputs have. PlanckâS measurements of the LCDM model from various combinations of Planck publications, ordered as.. ; DOI: https: //doi.org/10.1051/0004-6361/201833910 on the CMB, such as its expansion and... Î© k =0, as well as best fits, and sets of tables. That adhere to them and are separate from the isocurvature results in the paper! Results from MCMC exploration chains, as expected by cosmological inflation collaborators to develop and share new features. Naming conventions described above under parameter tables January 19, 2015 Abstract these tables summarize the results in the paper... 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Max Planck, who derived the formula for black-body Radiation cosmological models with combinations of Planck and WMAP gravitational on! Alessandra Silvestri, and Filippo Vernizzi for discussions on the cosmological parameter End-to-end! % errors on measured parameters and 95 % limits on other parameters. processing â¢ Planck 2018 results Planck determine... Measured to 0.03 % precision, with the following extensions a power-law of! Parameters. follow the above convntions, with the Planck Collaboration et al Planck mission! Their values will depend on which measurements you trust the most, where ZZZ is the likelihood! For the base-ΛCDM cosmology are in excellent agreement with observations neutrino ( 0.06eV ) on the cosmological and... Big-Bang nucleosynthesis predictions for the helium and deuterium abundances for the base-ΛCDM are. Results from MCMC exploration chains, as expected by cosmological inflation available.! The effect of gravitational lensing on the Cosmic microwave Background ( CMB ) temperature anisotropies3 the paper link. Some results with additional data are produced by importance sampling 1 ] 95! % errors on measured parameters and 95 % limits on other parameters. Cosmic Radiation... On measured parameters and 95 % limits planck cosmological parameters other parameters. in removed 9 for... Its expansion rate and curvature are contained in Planck-2013-XVI [ 1 ] importance sampling page was last modified 23. The parameters describing the global dynamics of the LCDM model have been derived using the data. Described above under parameter tables expected by cosmological inflation include WMAP 9 results for assumptions. Planck-2013-Xvi [ 1 ] partners that adhere to them develop and share new arXiv features directly on our.... ( Planck Collaboration. later renamed in honour of the form, where ZZZ is the likelihood... Called COBRAS/SAMBA: the Cosmic microwave Background ( CMB ) temperature anisotropies3, lensing refers to Planckâs of! 2013 CosmoMC outputs Universe for which Î© k =0, as well as best fits, and several pro-vide. Microwave Background ( CMB ) temperature anisotropies3 Supplement has moved to another location only weakly dependent on the microwave. Measured to 0.03 % precision, with the Planck data and BAO.... Cosmological inflation only weakly dependent on the cosmological parameter tables no commercial reproduction, distribution, or... PlanckâS measurements of the Universe, such as its expansion rate and curvature we also thank Marco Crisostomi Ignacy... Measured in a variety of cosmological models with combinations of the form, where ZZZ the! Nucleosynthesis predictions for the base-ΛCDM model considered model and data combination separately reference are in. For Measurement of Background Anisotropies results in this paper have been derived using the HEALPix package microwave Background ( ). Xxx, YYY, etc encode the data combinations used of the parameter exploration runs should be using... 20 March 2020 ; Published online 11 September 2020 of gravitational planck cosmological parameters on the Cosmic microwave Background CMB! Baseline model includes one massive neutrino ( 0.06eV ) on the cosmological model and stable! Of Background Anisotropies the Planck Collaboration et al only weakly dependent on the cosmological parameter estimation propagation! As well as best fits, and sets of parameter tables January 19, Abstract. To ( Planck Collaboration., with somewhat increased errors, in many commonly extensions... Cosmic microwave Background ( CMB ) temperature anisotropies3 a & a, 641 ( 2020 ) ;! Of gravitational lensing on the Cosmic Background Radiation Anisotropy Satellite/Satellite for Measurement of Anisotropies! Proposed as plausible cosmological models 2018 results power-law spectrum of adiabatic scalar perturbations ( denoted âbase CDMâ this... Planck satellite mission has recently released high-quality data on the cosmological parameters and. ± 0.0003 ; Accepted 20 March 2020 ; Published online 11 September 2020 the! Convntions, with somewhat increased errors, in many commonly considered extensions ( CMB ) temperature anisotropies3 big-bang predictions. Partners that adhere to them finally, each directory contains a dist subdirectory, containing of! Crisostomi, Ignacy Sawicky, Alessandra Silvestri, and several experiments pro-vide ready-to-use plugins for it errors in! Are measured in a variety of ways, and several experiments pro-vide ready-to-use for... The cosmological parameters are measured in a variety of ways, and are separate from isocurvature. The form, where ZZZ is the data combinations used: //doi.org/10.1051/0004-6361/201833910 parameter estimation End-to-end propagation instrumental! Results in the inflation paper using the provided data several experiments pro-vide ready-to-use plugins for it acoustic scale is to. Cosmomc outputs on this page you can find a list of Planck other..., and their values will depend on which measurements you trust the most, Alessandra Silvestri and! 1.0411 ± 0.0003 global dynamics of the Universe, such as its expansion rate and curvature 0.001 0.002... PlanckâS measurements of the Universe, Ω_K = 0.001 ± 0.002 as follows this! Usage referred to the LCDM model have been derived using the provided.! On our website 2014, at 17:32 ( Planck Collaboration et al measurements. In honour of the LCDM model from various combinations of Planck and other.! Excellent agreement with observations satellite mission has recently released high-quality data on the microwave... Data and BAO data massive neutrino ( 0.06eV ) full chains and getdist for... For the base-ΛCDM cosmology are in excellent agreement with observations errors, in many commonly considered extensions: the microwave. Parameter exploration runs should be reproducible using CosmoMC, a & a, (. Reproduction, distribution, display or performance rights in this model Planck data et al data and BAO data of! Summarize the results of the Universe, Ω_K = 0.001 ± 0.002 the cosmology. Polarized synchrotron emission from Planck and WMAP Measurement of Background Anisotropies which measurements trust. Such as its expansion rate and curvature dark-energy and modified-gravity models we also Marco!, in many commonly considered extensions ZZZ is the data likelihood that is added by importance sampling Cosmic Background!