Planck 2018 Results. VI. Cosmological Parameters — TEI-tagged view

Planck Collaboration (N. Aghanim et al.) · 2020 · astronomy · doi:10.1051/0004-6361/201833910 · full text at the source · TEI xml · tagged edition · index · concepts · authors
Where this record's text came from. faceted 2026-08 by reading the locally held text (pdftext); every evidence string verified as an exact substring of that text before merging. Claim type was hard to place: the paper's shape is a precision measurement establishing that base-ΛCDM plus six parameters describes the data, which maps best onto 'existence'; it also carries a strong null-result component ('We find no compelling evidence for extensions to the base-ΛCDM model.') that the single-valued facet cannot hold. method is not one of the listed examples — this is analysis of a space-mission observational data set, not an experiment or simulation. Replication status set to 'contested' because the paper itself reports 3.6σ (abstract) to 4.4σ (introduction) tension with local H0 determinations and slight tension with DES combined-probe results, while the Planck-internal parameters are described as stable across data releases. NOTE: the supplied text file is truncated part-way through Sect. 7.9 (dark-matter annihilation); the concluding Sect. 8 is absent, so no quotes could be drawn from the paper's own summary. 2026-08-14 and 2026-08-15 schema-0.3 passes: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node. Update, 15 September 2026: EXCEPTION, measured with the merge gate's own predicate (Paper.locate): 4 quote(s) on this record are not found as one exact string in the current staged text - content_tags.statistics[1].evidence, content_tags.statistics[3].evidence, content_tags.statistics[7].evidence, content_tags.statistics[8].evidence. The sentence above does not hold for them as written. Where a row records why - the quote is grounded in another copy of the paper, joins two passages with an ellipsis, or differs from the staged text by extraction noise - that note stays on the row.
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standard-deviation 3 fields · statistical-power 2 fields · confidence-interval 2 fields · confidence intervals 2 fields · statistical-significance 2 fields · polarization 2 fields · and 1 more →
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cosmic microwave background cosmological parameters3 Lambda-CDM model dark energy3 fiducial model baryon acoustic oscillation base-ΛCDM covariance matrices2 polarization efficiencies Hubble constant2 modified gravity conservative BBN prior pivot scale observational-study83
Method, as described: observational-data-analysis

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content-tags & facets: phenomenon · claim-type · cross-domain-transfer · mechanism · claim-relation · replication-status · limitation — grounded in the full text
phenomenoncosmic microwave background anisotropies— “Since their discovery (Smoot et al. 1992), temperature anisotropies in the cosmic microwave background (CMB) have become one of the most powerful ways of studying cosmology and the physics of the early Universe.”
claim-typeexistence— “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.”
method — evidence— “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.”
transferfrom statistics / computational statistics (Bayesian inference, MCMC): Bayesian inference via Markov chain Monte Carlo used to estimate cosmological parameters from the cosmic microwave background— “sampled, along with cosmological parameters, during Markov chain Monte Carlo (MCMC) exploration of the likelihood”transfers[0]
mechanismTHE MODEL EVERY NUMBER IN THE PAPER IS QUOTED AGAINST IS INTRODUCED AS A QUOTED LABEL, WITH A PARAMETER COUNT AND A SCOPE: we refer to this model, WHICH CAN BE SPECIFIED BY SIX PARAMETERS, as “base” ΛCDM IN THIS PAPER. The scare quotes and the words `in this paper` are both the collaboration's: the label is declared local to the document, and what it denotes is fixed by a count of parameters rather than by a description— “We refer to this model, which can be specified by six parameters, as “base” ΛCDM in this paper.”mechanisms[0]
mechanismWHICH PARAMETERS ARE PRIMITIVE IS STATED AS A CHOICE, NOT AS A FACT ABOUT THE UNIVERSE: the first six parameters are THE ONES ON WHICH WE IMPOSE FLAT PRIORS AND USE AS SAMPLING PARAMETERS; the remaining parameters ARE DERIVED FROM THE FIRST SIX. The same physics could be parameterised the other way round, and the paper says which way it chose— “The first six parameters here are the ones on which we impose flat priors and use as sampling parameters; the remaining parameters are derived from the first six.”mechanisms[1]
mechanismAN ENTIRE CLASS OF PARAMETERS IS NAMED “nuisance” IN SCARE QUOTES - AND THE QUOTES COME OFF IN THE NEXT SENTENCE, WHERE THEY ARE SAMPLED ON THE SAME FOOTING AS THE COSMOLOGICAL ONES: a physically motivated parametric model containing “nuisance” parameters; these nuisance parameters ARE SAMPLED, ALONG WITH COSMOLOGICAL PARAMETERS, during MCMC exploration of the likelihood. The hedge is dropped one sentence after it is made, and the objects it hedged about are treated as first-class— “a physically motivated parametric model containing “nuisance” parameters. These nuisance parameters are sampled, along with cosmological parameters, during Markov chain Monte Carlo (MCMC) exploration of the likelihood.”mechanisms[2]
mechanismA CEILING ON THE PAPER'S OWN INTERPRETATION, STATED BY THE PAPER: a total systematic uncertainty of around half a sigma MAY BE MORE REALISTIC, and VALUES SHOULD NOT BE OVERINTERPRETED BEYOND THIS LEVEL. Not a limitation of the data but an instruction to the reader about how far the numbers may be read - issued by the people who produced them— “A total systematic uncertainty of around 0.5σ may be more realistic, and values should not be overinterpreted beyond this level.”mechanisms[3]
mechanismTWO WAYS OF DOING ONE CORRECTION ARE NAMED IN A SINGLE SENTENCE, BY CONTRAST WITH EACH OTHER: adopting the estimates from one spectrum for both (we call this the “map-based” APPROACH); or applying independent estimates from each (the “spectrum-based” APPROACH). Neither name would mean anything without the other; the pair is defined by the difference between two procedures— “We have investigated ways of correcting for effective polarization efficiencies: adopting the estimates from EE (which are about a factor of 2 more precise than T E) for both the T E and EE spectra (we call this the “map-based” approach); or applying independent estimates from T E and EE (the “spectrum-based” approach).”mechanisms[4]
mechanismTHE NULL EXPLANATION IS DECLARED THE BASELINE ASSUMPTION, IN THOSE WORDS: alternatively, it could just be a statistical fluctuation, WHICH IS OUR BASELINE ASSUMPTION. Which of the competing accounts gets the default is a choice, and it is named as one rather than argued for— “Alternatively, it could just be a statistical fluctuation, which is our baseline assumption.”mechanisms[5]
mechanismEVIDENCE IS GRANTED AND THE CLAIM IS DECLINED IN THE SAME SENTENCE: although both likelihoods CLEARLY SHOW A PREFERENCE for a lensing amplitude above one, THIS CANNOT BE CLAIMED TO BE A ROBUST DETECTION at much over two sigma. `Clearly show` and `cannot be claimed` are asserted of the same result, and the line between them is a number— “Although both likelihoods clearly show a preference for AL > 1, this cannot be claimed to be a robust detection at much over 2σ”mechanisms[6]
mechanismTHE COLLABORATION CALLS A PERSISTENT ANOMALY IN ITS OWN DATA A CURIOUS FEATURE: the preference for a lensing amplitude above one within the model IS A CURIOUS FEATURE OF THE PLANCK CMB POWER SPECTRUM DATA, and has already been discussed extensively in three earlier papers, ALTHOUGH IT IS NOW SLIGHTLY MORE SIGNIFICANT. A result that has survived three releases, growing, and the standing description of it is an adjective— “The preference for AL > 1 within the ΛCDM model is a curious feature of the Planck CMB power spectrum data, and has already been discussed extensively in PCP13, PCP15, and Planck Collaboration Int. LI (2017), although it is now slightly more significant.”mechanisms[7]
mechanismTHE AUTHORS CHARACTERISE THEIR OWN REVISION AS LARGELY COSMETIC: it is important to emphasize that these changes to the likelihood ARE LARGELY COSMETIC AND HAVE VERY LITTLE IMPACT ON COSMOLOGICAL PARAMETERS. The word measures a methodological change by its effect on the outputs rather than by what was changed— “It is important to emphasize that these changes to the 2018 CamSpec TT likelihood are largely cosmetic and have very little impact on cosmological parameters.”mechanisms[8]
mechanismA METHOD CHANGE BETWEEN RELEASES IS STATED AS A DIFFERENCE FROM THE PREVIOUS PAPER, WITH THE OLD PROCEDURE DESCRIBED: THIS DIFFERS FROM THE APPROACH ADOPTED IN 2015, which used a Galactic dust template WITH THE SAME SHAPE AT ALL FREQUENCIES. The superseded choice is named, so the two releases' numbers can be read as answers to slightly different questions— “This differs from the approach adopted in 2015, which used a Galactic dust template with the same shape at all frequencies.”mechanisms[9]
mechanismA COINED ACRONYM IS MINTED FOR OBJECTS THE ANALYSIS ITSELF PRODUCES, AND THE RULE THAT DECIDES HOW MANY OF THEM COUNT IS LEFT UNNAMED: the rotation diagonalizing the Fisher inverse **DEFINES** the eigenmodes; truncation of the hierarchy, to determine the number used for parameter estimation, is performed ACCORDING TO SOME SUITABLY CHOSEN SELECTION CRITERION - AND WE REFER TO THESE MODES AS “eXeMs”. One sentence defines the objects, the next leaves the rule for counting them to be chosen suitably, and the third gives them a name— “The rotation diagonalizing the Fisher inverse defines the xe eigenmodes. Truncation of the eigenmode hierarchy to determine the number of xe modes used for parameter estimation is performed according to some suitably chosen selection criterion. We refer to these modes as “eXeMs””mechanisms[10]
mechanismA DISAGREEMENT IS LEFT OPEN WITH ITS THREE POSSIBLE MEANINGS ENUMERATED AND NONE CHOSEN: further work is needed to assess whether the discrepancy IS A STATISTICAL FLUCTUATION, IS CAUSED BY SMALL SYSTEMATIC ERRORS, OR IS A SIGNATURE OF NEW PHYSICS. Noise, error, and discovery are offered as the alternatives, in that order, and the paper declines to rank them— “Further work is needed to assess whether the discrepancy between Planck and the Ly α BAO results is a statistical fluctuation, is caused by small systematic errors, or is a signature of new physics.”mechanisms[11]
mechanismAN ASSUMPTION IS JUSTIFIED BY WHAT THE SIMPLEST MODELS PREDICT, WITH THE PRECISION CAVEAT IN A PARENTHESIS: the base model assumes that the spatial hypersurfaces are flat, SUCH AS WOULD BE PREDICTED (TO WITHIN MEASURABLE PRECISION) BY THE SIMPLEST INFLATIONARY MODELS. The warrant for the assumption is the simplicity of a theory, and the hedge is about what an instrument could see— “The base-ΛCDM model assumes that the spatial hypersurfaces are flat, such as would be predicted (to within measurable precision) by the simplest inflationary models.”mechanisms[12]
mechanismA FEATURE THAT PULLS PARAMETERS AWAY FROM THE MODEL IS REPORTED AND REBUTTED IN THE SAME SENTENCE, BY NAMING THE PROBES THAT DO NOT SEE IT: a feature which pulls some parameters that affect the lensing amplitude away from the model; HOWEVER, THIS IS NOT SUPPORTED BY THE LENSING RECONSTRUCTION OR (in models that also change the background geometry) **BAO DATA**. The anomaly's own paper supplies the evidence against it— “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.”mechanisms[13]
builds-on Markov chain Monte Carlo (Bayesian inference, statistics)— “Markov chain Monte Carlo (MCMC) exploration of the likelihood”claim_relations[0]
builds-on earlier Planck cosmological-parameter papers PCP13 (Planck Collaboration XVI 2014) and PCP15 (Planck Collaboration XIII 2016)— “The definitions, methodology, and notation used in this paper largely follow those adopted in the earlier Planck Collaboration papers dealing with cosmological parameters (PCP13, PCP15).”claim_relations[1]
contradicts Riess et al. (2019) distance-ladder measurement of the Hubble constant— “The latest measurement from Riess et al. (2019) is discrepant with the Planck base- ΛCDM value for H0 at about the 4.4σ level.”claim_relations[2]
senselate-Universe parameter - a quantity the paper marks parenthetically as MODEL-DEPENDENT, inferred by assuming base-LambdaCDM rather than measured directly— “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”senses[0]
sensebase LambdaCDM - the six-parameter spatially-flat model with a power-law spectrum of adiabatic scalar perturbations, named for use in this paper— “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.”senses[1]
sensefiducial model - a model adopted in order to build the covariance matrices and likelihood, rather than one being tested— “we need to adopt a fiducial model. For the 2018 analysis, we adopted the best-fit CamSpec base-ΛCDM model from PCP15 to construct a likelihood from the 2018 temperature maps.”senses[2]
sensepolarization efficiencies - AS CALIBRATED: by a procedure the paper itself calls model-dependent, and then BOUNDS rather than defends - the fit is restricted to multipoles where the TT spectra are cosmic-variance limited, which is the reason given for the calibration being insensitive to small changes in the cosmology— “This is clearly a model-dependent procedure, but given that we fit over a restricted range of multipoles, where the T T spectra are measured to cosmic variance, the resulting polarization calibrations are insensitive to small changes in the underlying cosmological model.”senses[3]
sense`dark energy` / `modified gravity` - TWO NAMES FOR ONE OBSERVATION, CHOSEN BY WHICH MECHANISM YOU ASSUME: `Such dynamics is usually associated with a fluid (a scalar field) which we refer to as “dark energy” (DE), or with modifications of GR, which we refer to as “modified gravity” (MG).` NOT A RENAMING AND NOT A DISAGREEMENT ABOUT A WORD. The measurement is identical either way; the two names record two rival explanations of it, and the sentence assigns a name to each branch before either is established.— “Such dynamics is usually associated with a fluid (a scalar field) which we refer to as “dark energy” (DE), or with modifications of GR, which we refer to as “modified gravity” (MG).”senses[4]
sense`conservative BBN prior` - A TERM DEFINED BY BEING WIDE ENOUGH NOT TO CHOOSE: `we refer to a “conservative BBN prior,” wb = 0.0222 +/- 0.0005 (68% CL), set to be compatible with each of these three predictions.` The word `conservative` is doing definitional work: the interval is not an estimate of the quantity but a construction that survives three competing determinations. SAME SHAPE AS `brown2020`'s vocabulary built to REMAIN AGNOSTIC on a live question (typology mechanism 26) - here it is a NUMBER built not to decide one.— “In several places in this work and in PL2018, we refer to a “conservative BBN prior,” ωb = 0.0222 ± 0.0005 (68% CL), set to be compatible with each of these three predictions.”senses[5]
senseA REPORTING CONVENTION STATED IN THE ABSTRACT AND BINDING ON EVERY NUMBER IN IT: `in this abstract we quote 68% confidence regions on measured parameters and 95% on upper limits`. TWO DIFFERENT INTERVALS UNDER ONE `+/-` NOTATION, distinguished only by whether the quantity was measured or bounded. A reader lifting a figure out of this abstract without the convention has a number whose coverage they cannot state.— “in this abstract we quote 68% confidence regions on measured parameters and 95% on upper limits).”senses[6]
sense`base ΛCDM` - A NAME THAT MEANS `THIS PAPER'S SIX-PARAMETER VERSION`, NOT `THE STANDARD MODEL`. `We refer to this model, which can be specified by six parameters, as “base” ΛCDM in this paper.` The qualifier `in this paper` is doing real work: `ΛCDM` names a family, and `base` picks out one member by a parameter COUNT. A citing author who writes `ΛCDM` and one who writes `base ΛCDM` are not necessarily referring to the same model, and this sentence is the only thing that fixes which.— “We refer to this model, which can be specified by six parameters, as “base” ΛCDM in this paper.”senses[7]
sense`As` IS NOT A NUMBER UNTIL A SCALE IS CHOSEN. `the primordial comoving curvature power spectrum amplitude As (which we define at the pivot scale k0 = 0.05 Mpc−1)`. The amplitude is scale-dependent, so the quoted value carries an unstated convention with it. A parameter defined at a chosen pivot is a quantity plus a convention, and only one of the two travels with the symbol.— “the primordial comoving curvature power spectrum amplitude As (which we define at the pivot scale k0 = 0.05 Mpc−1)”senses[8]
controlthe likelihood built from HALF-MISSION CROSS-spectra rather than auto-spectra — held — rules out noise bias - an auto-spectrum correlates a map's noise with itself and adds a positive term to the power, while two independent halves of the mission have uncorrelated noise that averages away— “The likelihood is built using half-mission crossspectra to avoid noise biases from auto-spectra.”controls[0]
controldifferent multipole cuts applied per cross-spectrum — held — rules out the multipole ranges where the beam's limited resolution lets noise dominate, so those scales cannot drive the fit— “with different multipole cuts to avoid multipole regions where noise dominates due to the limited resolution of the beams”controls[1]
outcome (stated by the tagger, no quotation)control — heldcontrols[0]
outcome (stated by the tagger, no quotation)control — heldcontrols[1]
for which uselimitation — the lensing-amplitude parameters specifically: a >2-sigma feature PULLS SOME PARAMETERS THAT AFFECT THE LENSING AMPLITUDE AWAY FROM THE [model], unsupported by other probes— “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.”limitations[0]
for which uselimitation — every quoted uncertainty in the paper: WE THEREFORE DO NOT EXPLICITLY MODEL AN INCREASE IN ERROR BARS DUE TO THESE RESIDUAL SYSTEMATIC ERRORS - a known error source is excluded by decision— “In this paper we therefore do not explicitly model an increase in error bars due to these residual systematic errors – any such characterization would inevitably be incomplete, and it would also be impossible to give the necessary probabilistic characterization required for meaningful quantitative error bars.”limitations[1]
for which uselimitation — the polarization results in particular: INACCURACIES IN THE CORRECTIONS FOR EFFECTIVE POLARIZATION EFFICIENCIES AND TEMPERATURE-TO-POLARIZATION LEAKAGE ARE THE MAIN CONTRIBUTORS TO SYSTEMATIC ERRORS— “Inaccuracies in the corrections for effective polarization efficiencies and temperature-to-polarization leakage are the main contributors to systematic errors in the Planck polarization spectra at high multipoles.”limitations[2]
for which uselimitation — the Planck-versus-Lyman-alpha comparison: FURTHER WORK IS NEEDED TO ASSESS WHETHER THE DISCREPANCY ... IS A STATISTICAL FLUCTUATION, IS CAUSED BY SMALL SYSTEMATIC ERRORS, OR IS A SIGNATURE OF new physics— “Further work is needed to assess whether the discrepancy between Planck and the Ly α BAO results is a statistical fluctuation, is caused by small systematic errors, or is a signature of new physics.”limitations[3]
for which uselimitation — the small-scale polarization constraints: RESIDUAL MODELLING UNCERTAINTIES ESTIMATED TO AFFECT THEM ONLY AT THE 0.5 SIGMA L[evel] - estimated, not eliminated— “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.”limitations[4]
for which uselimitation — the external-data selection as a purely evidential choice: the paper gives as its second reason that its primary purpose is to present and emphasize the Planck results— “Secondly, the primary purpose of this paper is to present and emphasize the Planck results. We therefore make minimal use of external”limitations[5]
for which uselimitation — the 2018 parameter constraints as independent of the 2015 analysis: the likelihood was constructed using a fiducial model adopted from PCP15— “we need to adopt a fiducial model. For the 2018 analysis, we adopted the best-fit CamSpec base-ΛCDM model from PCP15 to construct a likelihood from the 2018 temperature maps.”limitations[6]
for which uselimitation — these constraints as incorporating cluster counts: they are deliberately excluded from the main parameter grid— “Given the uncertainties in these calibrations, we do not use cluster counts in our main parameter grid.”limitations[7]
evidence status notemechanism — Three sentences later the same term is spelled without its hyphen - “map-based” in the naming sentence, “mapbased” where the approach is adopted. A lost line-break hyphen and an inconsistency by the authors look identical in an extracted PDF, so this records the observation without claiming which it is.— “We have investigated ways of correcting for effective polarization efficiencies: adopting the estimates from EE (which are about a factor of 2 more precise than T E) for both the T E and EE spectra (we call this the “map-based” approach); or applying independent estimates from T E and EE (the “spectrum-based” approach).”mechanisms[4]
evidence status notemechanism — The record's limitations[0] quotes this passage and had to stop at “away from the”, one word short of the model's name; its tag says “[model]” in brackets to mark the gap. This span reaches the name and the rebuttal that follows it.— “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.”mechanisms[13]
replicationuntested
no type for thispolarization angles → efficiencies — THE TWO CANNOT BE SEPARATED IN THIS STUDY - the DESIGN form of the negative relation / No edge type can express it: all eight assert that a relation HOLDS. Recorded here because a confounding statement BOUNDS WHAT THE PAPER'S OWN RESULTS CAN MEAN, and it lives in a methods paragraph where nothing downstream will find it. States the mechanism of the inseparability in one word - DEGENERATE - which is the physics term for exactly the relation we cannot express.— “The SRoll mapmaking algorithm assumes the ground-based measurements of polarization angles and efficiencies, which cannot be separated because they are degenerate with each other.”unhoused_relations[0]
limitationa >2-sigma feature pulls some lensing-amplitude parameters away from the model, not supported by other probes— “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.”limitations[0]
limitationResidual systematic errors in the polarization spectra are not folded into the quoted error bars, because the authors judge any such characterisation would be incomplete and could not be given a proper probabilistic form.— “In this paper we therefore do not explicitly model an increase in error bars due to these residual systematic errors – any such characterization would inevitably be incomplete, and it would also be impossible to give the necessary probabilistic characterization required for meaningful quantitative error bars.”limitations[1]
limitationImperfect corrections for polarization efficiency and temperature-to-polarization leakage remain the dominant systematic error in the high-multipole polarization spectra.— “Inaccuracies in the corrections for effective polarization efficiencies and temperature-to-polarization leakage are the main contributors to systematic errors in the Planck polarization spectra at high multipoles.”limitations[2]
limitationThe origin of the disagreement between Planck and the Lyman-alpha BAO measurements is left unresolved.— “Further work is needed to assess whether the discrepancy between Planck and the Ly α BAO results is a statistical fluctuation, is caused by small systematic errors, or is a signature of new physics.”limitations[3]
limitationResidual modelling uncertainty in the small-scale polarization is estimated, not eliminated, and is stated to shift parameters at the half-sigma level.— “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.”limitations[4]
limitationThe choice of which external data to combine with is justified partly by a presentational aim, not only an evidential one.— “Secondly, the primary purpose of this paper is to present and emphasize the Planck results. We therefore make minimal use of external”limitations[5]
limitationThe likelihood used for the 2018 analysis was built on a fiducial model taken from the previous data release.— “we need to adopt a fiducial model. For the 2018 analysis, we adopted the best-fit CamSpec base-ΛCDM model from PCP15 to construct a likelihood from the 2018 temperature maps.”limitations[6]
limitationCluster counts are excluded from the main parameter grid because their mass calibrations are uncertain.— “Given the uncertainties in these calibrations, we do not use cluster counts in our main parameter grid.”limitations[7]
limitationThe headline late-Universe parameters are marked model-dependent in a single parenthesis - 'the inferred (model-dependent) late-Universe parameters are: Hubble constant H0 = ...' - while the angular acoustic scale in the preceding sentence is described as only weakly model-dependent. Two classes of number sit in one abstract with very different warrants, separated by one bracketed word that does not survive being quoted.— “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.”limitations[8]
Content tags
content-observations: finding · quantity · variable · definition · key-term — grounded in the full text
findingdata are consistent with the base 6-parameter LCDM cosmology— “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.”content_tags.findings[0]
findingno compelling evidence for extensions to base LCDM— “We find no compelling evidence for extensions to the base”content_tags.findings[1]
findinga 3.6 sigma tension persists with local Hubble measurements— “in significant, 3.6σ, tension with local measurements of the Hubble constant (which prefer a higher value)”content_tags.findings[2]
findingdark-energy equation of state is consistent with a cosmological constant— “the dark-energy equation of state parameter is measured to be w0 = −1.03 ± 0.03, consistent with a cosmological constant”content_tags.findings[3]
quantity67.4±0.5 km/s/Mpc — inferred Hubble constant H0— “Hubble constant H0 = (67.4 ± 0.5) km s”content_tags.quantities[0]
quantity0.315±0.007 Omega_m — matter density parameter— “matter density parameter Ωm = 0.315 ± 0.007”content_tags.quantities[1]
quantity0.120±0.001 Omega_c h^2 — cold dark matter density— “dark matter density Ωch2 = 0.120 ± 0.001”content_tags.quantities[2]
quantity6 parameters — base spatially-flat LCDM model— “spatially-flat 6-parameter”content_tags.quantities[3]
quantity3.6 sigma — tension with local Hubble-constant measurements— “in significant, 3.6σ, tension with local”content_tags.quantities[4]
quantity< 0.12 eV — upper bound on total neutrino mass— “Combining with baryon acoustic oscillation (BAO) measurements (and considering single-parameter extensions) we constrain the effective extra relativistic degrees of freedom to be Neff = 2.99±0.17, in agreement with the Standard Model prediction Neff = 3.046, and find that the neutrino mass is tightly constrained to (cid:80) mν < 0.12”content_tags.quantities[5]
evidence status notequantity — DAMAGED GLYPHS IN THIS QUOTE: (cid:80). These are raw PDF font glyph indices that leaked out in place of the characters they stand for - usually a mathematical operator. The quote is verbatim to the staged text and its anchor is sound; the STAGED TEXT is what is damaged. NOT repaired: the cid-to-character mapping is defined by the font embedded in that particular PDF, so guessing it would produce a clean and unverifiable quote. Repair needs the source PDF and is a re-staging job.content_tags.quantities[5]
variableHubble constant H0 (late-Universe expansion rate)— “Hubble constant H0 = (67.4 ± 0.5) km s”content_tags.variables[0]
variablematter density (fraction of critical density in matter)— “matter density parameter Ωm = 0.315 ± 0.007”content_tags.variables[1]
variableoptical depth (reionization measure)— “optical depth τ = 0.054 ± 0.007”content_tags.variables[2]
variabletensor-to-scalar ratio r (primordial gravitational-wave constraint)— “a limit on the tensor-to-scalar ratio r”content_tags.variables[3]
definitioncosmic microwave background (CMB)— “the cosmic microwave background (CMB) anisotropies”content_tags.definitions[0]
definitionbaryon acoustic oscillation (BAO)— “Combining with baryon acoustic oscillation (BAO) measurements”content_tags.definitions[2]
definitionreionization optical depth— “the reionization optical depth to be measured with higher precision”content_tags.definitions[3]
key-termscosmological parameters, Planck, cosmic microwave background, polarization, Hubble constant, dark matter, baryon density, lensing, dark energy, reionization
Concepts
terms this paper carries, each with the sentence it was cut from — the layer that joins one paper to another. Terms with no quote yet are on CONCEPTS.html.
conceptcosmological parameters— “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”concepts[1]
conceptfiducial model— “we need to adopt a fiducial model. For the 2018 analysis, we adopted the best-fit CamSpec base-ΛCDM model from PCP15 to construct a likelihood from the 2018 temperature maps.”concepts[4]
conceptbaryon acoustic oscillation— “As in PCP13 and PCP15 we use BAO measurements as the primary external data set to combine with Planck.”concepts[5]
conceptbase-ΛCDM— “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.”concepts[6]
conceptcovariance matrices— “To construct covariance matrices, temperature-topolarization leakage corrections, and effective polarization efficiencies, we need to adopt a fiducial model. For the 2018 analysis, we adopted the best-fit CamSpec base-ΛCDM model from PCP15 to construct a likelihood from the 2018 temperature maps. We then ran a minimizer on the TT likelihood… [checked against the archived source, not this rendering]concepts[7]
conceptpolarization efficiencies— “This is clearly a model-dependent procedure, but given that we fit over a restricted range of multipoles, where the T T spectra are measured to cosmic variance, the resulting polarization calibrations are insensitive to small changes in the underlying cosmological model. In principle, the polarization efficiencies found by fitting the T E…concepts[8]
conceptHubble constant— “Distance-ladder measurements of the Hubble constant, H0, are an exception, however. The latest measurement from Riess et al. (2019) is discrepant with the Planck base- ΛCDM value for H0 at about the 4.4σ level.”concepts[9]
conceptmodified gravity — not defined in this paper's own words; the same accelerating dynamics attributed to a change in general relativity rather than to a fluid— “Such dynamics is usually associated with a fluid (a scalar field) which we refer to as “dark energy” (DE), or with modifications of GR, which we refer to as “modified gravity” (MG).”concepts[10]
conceptconservative BBN prior — not defined in this paper's own words; a baryon-density prior widened on purpose so that it is compatible with all three competing predictions— “In several places in this work and in PL2018, we refer to a “conservative BBN prior,” ωb = 0.0222 ± 0.0005 (68% CL), set to be compatible with each of these three predictions.”concepts[11]
conceptpivot scale — not defined in this paper's own words; the wavenumber at which the primordial amplitude is quoted - a CONVENTION, fixed here at k0 = 0.05 Mpc-1, and the reported value of As is meaningless without it— “the primordial comoving curvature power spectrum amplitude As (which we define at the pivot scale k0 = 0.05 Mpc−1)”concepts[12]
Statistics — cross-field join keys
field-invariant statistical terms, used in their statistical sense (gated on a number / symbol / test). A p-value or a standard deviation means the SAME thing in physics, biology, psychology and sociology — so these are the strongest cross-field join keys. Grounded verbatim.
chi-square χ² as written: χ2— “we recalibrate the T E and EE spectra against a fiducial theoretical model to minimize χ2”content_tags.statistics[1]
confidence-interval CI as written: confidence intervals— “The shaded bands are middle 68th and 95th percentiles (note that this does not correspond exactly to confidence intervals).”content_tags.statistics[2]
evidence status noteconfidence-interval — QUOTE REPAIRED: the extractor split a hyphen-space and the quote was recorded faithfully with the damage in it, which made it unanchorable. The repaired string is an EXACT SUBSTRING of the staged text - that is why it was accepted, not because a rule produced it. The text as originally recorded is kept in evidence as extracted.content_tags.statistics[2]
correlation r— “We find a 0.3 % con- straint from Planck: Ωmh3 = 0.09633 ± 0.00029 (68 %, TT,TE,EE+lowE), (12) corresponding to an anti-correlation between the matter density Ωmh2 and the Hubble parameter.” [checked against the archived source, not this rendering]content_tags.statistics[3]
not machine-vouchedcorrelation — not-in-our-copy - The quote is in the original web page we fetched for this paper, but not in the text we tag against, which was extracted differently. Checked with ligatures, hyphens, spacing and punctuation set aside.content_tags.statistics[3]
degrees-of-freedom df— “Values for χ2 p are given in Table 3 together with probabilities to exceed (PTEs) computed from a χ2 distribution with five degrees of freedom.”content_tags.statistics[4]
evidence status notedegrees-of-freedom — QUOTE REPAIRED: the extractor split a hyphen-space and the quote was recorded faithfully with the damage in it, which made it unanchorable. The repaired string is an EXACT SUBSTRING of the staged text - that is why it was accepted, not because a rule produced it. The text as originally recorded is kept in evidence as extracted.content_tags.statistics[4]
mean μ as written: mean of— “Although this is a relatively complex nuisance-parameter model, it clearly does not fully model all possible sources of error: for example, correlations between redshift bins may depend on photometric redshift uncertainties that are not well captured by a single shift in the mean of each window’s population.”content_tags.statistics[5]
standard-deviation SD/σ— “Here σ2013 is the standard deviation quoted on parameters in PCP13.”content_tags.statistics[8]
statistical-power— “2σ) on the base-ΛCDM results when combining into the full “TT,TE,EE,” Plik likelihood because EE has lower statistical power compared to T T or T E; however, dust modelling in EE has a greater effect when parameters are estimated from EE alone”content_tags.statistics[9]
evidence status notestatistical-power — QUOTE RECOVERED FROM THE PAPER'S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file's own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.content_tags.statistics[9]
statistical-significance— “2.3) at moderate statistical significance, raising the question of whether there are unaccounted for systematic effects lurking within the Planck data.”content_tags.statistics[10]
variance σ²— “The error bars show ±1σ diagonal uncertainties, including cosmic variance (approximated as Gaussian) and not including uncertainties in the foreground model at (cid:96) ≥ 30”content_tags.statistics[11]
evidence status notevariance — QUOTE RECOVERED FROM THE PAPER'S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file's own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.content_tags.statistics[11]

When we have changed our mind. Some entries in the table begin with a word in capitals and the reason for it. EVIDENCE CORRECTED — the finding still stands, but we had quoted the wrong sentence from the paper, and the quotation has been replaced with the right one. RETRACTED — the entry itself was wrong; it stays on the page, marked, with the reason, rather than being deleted. WITHDRAWN AND REPLACED — the entry was wrong, and a corrected version of it appears in the entries below. Each mark carries its own reason, in brackets, because the reasons differ from one entry to the next. An entry we have WITHDRAWN is removed from this page and kept in the record, with its reason. A line reading Audit and a date is a later re-reading of the entry against its whole sentence: DOUBTFUL means it was kept, and the reason says what is loose about it. Quotation marks inside the tagger's sentence. Where a tag is the tagger's own sentence, a phrase in quotation marks inside it is borrowed from the paper — the tagger's wording around it is not. The paper's own sentence is the evidence quote for that row; on this page it is withheld with the article, and the article is at its publisher. Nothing inside quotation marks anywhere on this page is ours: if it is quoted, it is the paper's. Whose words a concept carries. A concept entry records a term the paper itself uses, so the term, the sense given for it, and its evidence are the paper's own words, quoted where the paper fixes them. This is the opposite of a sense entry in the tag table, which is the tagger's sentence about how the paper uses a term. Where a concept entry could not be grounded in the paper's words, the entry says so on its own row.

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