Integrated cosmological probes: Concordance quantified

Abstract

Assessing the consistency of parameter constraints derived from different cosmological probes is an important way to test the validity of the underlying cosmological model. In an earlier work [Nicola et al., 2017], we computed constraints on cosmological parameters for $\Lambda$CDM from an integrated analysis of CMB temperature anisotropies and CMB lensing from Planck, galaxy clustering and weak lensing from SDSS, weak lensing from DES SV as well as Type Ia supernovae and Hubble parameter measurements. In this work, we extend this analysis and quantify the concordance between the derived constraints and those derived by the Planck Collaboration as well as WMAP9, SPT and ACT. As a measure for consistency, we use the Surprise statistic [Seehars et al., 2014], which is based on the relative entropy. In the framework of a flat $\Lambda$CDM cosmological model, we find all data sets to be consistent with one another at a level of less than 1$\sigma$. We highlight that the relative entropy is sensitive to inconsistencies in the models that are used in different parts of the analysis. In particular, inconsistent assumptions for the neutrino mass break its invariance on the parameter choice. When consistent model assumptions are used, the data sets considered in this work all agree with each other and $\Lambda$CDM, without evidence for tensions.

17 pages, 4 figures, 2 tables, updated following referee's comments, now includes discussion of the Riess et al., 2016 Hubble parameter measurement, matches version accepted by JCAP

References in corpus (35)

• Planck 2015 results. XIII. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• A 2.4% Determination of the Local Value of the Hubble Constant
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• The Eighth Data Release of the Sloan Digital Sky Survey: First Data from SDSS-III
• CfA3: 185 Type Ia Supernova Light Curves from the CfA
• The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview
• A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope
• Dynamical dark energy in light of the latest observations
• Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
• H0 Revisited
• A measurement of secondary cosmic microwave background anisotropies with two years of South Pole Telescope observations
• The SDSS Coadd: 275 deg^2 of Deep SDSS Imaging on Stripe 82
• The DES Science Verification Weak Lensing Shear Catalogues
• The Atacama Cosmology Telescope: A Measurement of the Cosmic Microwave Background Power Spectrum at 148 and 218 GHz from the 2008 Southern Survey
• No evidence for extensions to the standard cosmological model
• Measuring the effective complexity of cosmological models
• The Atacama Cosmology Telescope: A Measurement of the 600< ell <8000 Cosmic Microwave Background Power Spectrum at 148 GHz
• Combining cosmological datasets: hyperparameters and Bayesian evidence
• CosmoHammer: Cosmological parameter estimation with the MCMC Hammer
• Is there concordance within the concordance $\Lambda$CDM model?
• Cosmological discordances: a new measure, marginalization effects, and application to geometry vs growth current data sets
• Information Gains from Cosmic Microwave Background Experiments
• Planck confronts large scale structure: methods to quantify discordance
• Cosmological Parameters from pre-Planck CMB Measurements: a 2017 Update
• Quantifying Tensions between CMB and Distance Datasets in Models with Free Curvature or Lensing Amplitude
• Integrated approach to cosmology: Combining CMB, large-scale structure and weak lensing
• Quantifying Concordance in Cosmology
• Forecasts of non-Gaussian parameter spaces using Box-Cox transformations
• Information Gains from Cosmological Probes
• Gaussianisation for fast and accurate inference from cosmological data
• Integrated Cosmological Probes: Extended Analysis
• Normal Parameters for an Analytic Description of the CMB Cosmological Parameter Likelihood

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• Bayesian Evidences for Dark Energy models in light of current obsevational data
• Developing a unified pipeline for large-scale structure data analysis with angular power spectra -- III. Implementing the multi-tracer technique to constrain neutrino masses
• Data-Space Validation of High-Dimensional Models by Comparing Sample Quantiles