The impact of the cosmic variance on $H_0$ on cosmological analyses

Abstract

The current $3.8\sigma$ tension between local (arXiv:1804.10655) and global (arXiv:1605.02985) measurements of $H_0$ cannot be fully explained by the concordance $\Lambda$CDM model. It could be produced by unknown systematics or by physics beyond the standard model. On the other hand, it is well known that linear perturbation theory predicts a cosmic variance on the Hubble parameter $H_0$, which leads to systematic errors on its local determination. Here, we study how including in the likelihood the cosmic variance on $H_0$ affects statistical inference. In particular we consider the $\gamma$CDM, $w$CDM and $\gamma w$CDM parametric extensions of the standard model, which we constrain with the latest CMB, BAO, SNe Ia, RSD and $H_0$ data. We learn two important lessons. First, the systematic error from cosmic variance is - independently of the model - approximately ${\sigma }_{\text{cv}}\approx 0.88$ km s${}^{-1}$ Mpc${}^{-1}$ (1.2\% $H_0^{\text{loc}}$) when considering the redshift range $0.0233\le z\le 0.15$, which is relative to the main analysis of (arXiv:1804.10655), and ${\sigma }_{\text{cv}}\approx 1.5$ km s${}^{-1}$ Mpc${}^{-1}$ (2.1\% $H_0^{\text{loc}}$) when considering the wider redshift range $0.01\le z\le 0.15$. Although ${\sigma }_{\text{cv}}$ affects the total error budget on local $H_0$, it does not significantly alleviate the tension which remains at $\approx 3\sigma$. Second, cosmic variance, besides shifting the constraints, can change the results of model selection: much of the statistical advantage of non-standard models is to alleviate the now-reduced tension. We conclude that, when constraining non-standard models it is important to include the cosmic variance on $H_0$ if one wants to use the local determination of the Hubble constant by Riess et al. (arXiv:1804.10655). Doing the contrary could potentially bias the conclusions.

arXiv comment17 pages, 12 figures, 9 tables. Analysis updated with Pantheon supernovas and latest RSD data and local $H_0$ determination. Results and conclusions revised; v3 reflects version accepted for publication in PRD, improved discussion. mBayes is available at https://github.com/valerio-marra/mBayes

References in corpus (60)

• Planck 2015 results. XIII. Cosmological parameters
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Baryonic Features in the Matter Transfer Function
• A 2.4% Determination of the Local Value of the Hubble Constant
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Small Scale Cosmological Perturbations: An Analytic Approach
• Cluster Abundance Constraints on Quintessence Models
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• Cosmicflows-3
• Can interacting dark energy solve the $H_0$ tension?
• Cosmic Confusion: Degeneracies among Cosmological Parameters Derived from Measurements of Microwave Background Anisotropies
• Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
• Reconstructing the history of structure formation using redshift distortions
• Planck 2015 results. XIV. Dark energy and modified gravity
• Reconciling Planck with the local value of $H_0$ in extended parameter space
• The WiggleZ Dark Energy Survey: Improved Distance Measurements to z = 1 with Reconstruction of the Baryonic Acoustic Feature
• H0 Revisited
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• $H_0$ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method
• Evolution of the $f{\sigma }_8$ tension with the Planck15/$\Lambda$CDM determination and implications for modified gravity theories
• KiDS-450: Testing extensions to the standard cosmological model
• Evidence for a ~300 Mpc Scale Under-density in the Local Galaxy Distribution
• A Local Hubble Bubble from SNe Ia?
• Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
• The $H_0$ tension in light of vacuum dynamics in the Universe
• Cosmic variance and the measurement of the local Hubble parameter
• A Vacuum Phase Transition Solves $H_0$ Tension
• Clarifying the Hubble constant tension with a Bayesian hierarchical model of the local distance ladder
• A blinded determination of $H_0$ from low-redshift Type Ia supernovae, calibrated by Cepheid variables
• Sample variance in the local measurements of the Hubble constant
• The value of H_0 in the inhomogeneous Universe
• Determining $H_0$ with Bayesian hyper-parameters
• Search for sterile neutrinos in holographic dark energy cosmology: Reconciling Planck observation with the local measurement of the Hubble constant
• How the Dark Energy Can Reconcile \textit{Planck} with Local Determination of the Hubble Constant
• Cosmic variance of the local Hubble flow in large-scale cosmological simulations
• Cosmological discordances: a new measure, marginalization effects, and application to geometry vs growth current data sets
• The Price of Shifting the Hubble Constant
• Expectations for the Difference Between Local and Global Measurements of the Hubble Constant
• Cosmological constraints and comparison of viable $f(R)$ models
• On the local variation of the Hubble constant
• No Hubble Bubble in the Local Universe
• Implications of Cosmic Microwave Background Anisotropies for Large Scale Variations in Hubble's Constant
• Probing spatial homogeneity with LTB models: a detailed discussion
• Conservative cosmology: combining data with allowance for unknown systematics
• The KBC Void: Consistency with Supernovae Type Ia and the Kinematic SZ Effect in a $\Lambda$LTB Model
• Measuring Hubble's Constant in our Inhomogeneous Universe
• Constraining the local variance of $H_0$ from directional analyses
• The variance of the locally measured Hubble parameter explained with different estimators
• Not a Copernican observer: biased peculiar velocity statistics in the local Universe
• A cosmological exclusion plot: Towards model-independent constraints on modified gravity from current and future growth rate data
• The Local Value of $H_0$ in an Inhomogeneous Universe
• Frames of most uniform Hubble flow
• Cosmic flows and the expansion of the Local Universe from nonlinear phase-space reconstructions
• Model-independent constraints on modified gravity from current data and from the Euclid and SKA future surveys
• The effect of interacting dark energy on local measurements of the Hubble constant
• Limits on the global Hubble constant and the age of the universe

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• New physics in light of the $H_0$ tension: an alternative view
• Non-minimal dark sector physics and cosmological tensions
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Local determination of the Hubble constant and the deceleration parameter
• Can the $H_0$ tension be resolved in extensions to $\Lambda$CDM cosmology?
• Thermal Friction as a Solution to the Hubble Tension
• A new method to build the (inverse) distance ladder
• Hubble tension or a transition of the Cepheid SnIa calibrator parameters?
• Relieving the $H_0$ tension with a new interacting dark energy model
• Fitting $f(Q,T)$ gravity models with a $\Lambda$CDM limit using H(z) and Pantheon data
• Null test for interactions in the dark sector
• Quantifying the evidence for the current speed-up of the Universe with low and intermediate-redshift data. A more model-independent approach
• Exploring the evidence for a large local void with supernovae Ia data
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• Dynamical dark energy in the light of DESI 2024 data
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Can high-redshift Hubble diagrams rule out the standard model of cosmology in the context of cosmographic method?
• Exploration of interacting dynamical dark energy model with interaction term including the equation-of-state parameter: alleviation of the $H_0$ tension
• Smoothing the $H_0$ tension with a dynamical dark energy model
• Luminosity distance and anisotropic sky-sampling at low redshifts: a numerical relativity study
• MOG cosmology without dark matter and the cosmological constant
• The Copernican principle in light of the latest cosmological data
• A void in the Hubble tension? The end of the line for the Hubble bubble
• A Model-independent Test of Cosmic Isotropy with Low-z Pantheon Supernovae
• Do the observational data favor a local void?
• Estimated Age of the Universe in Fractional Cosmology
• A fundamental test for MOND
• No-go guide for the Hubble tension: late-time or local-scale new physics
• The Hubble constant tension with next-generation galaxy surveys
• Cosmological constrains on minimally and non-minimally coupled scalar field models
• Cosmological discordances III: more on measure properties, Large-Scale-Structure constraints, the Hubble constant and Planck
• The redshift dependence of the inferred $H_0$ in a local void solution to the Hubble tension
• Testing the local void hypothesis using baryon acoustic oscillation measurements over the last twenty years
• How does an incomplete sky coverage affect the Hubble Constant variance?
• A critical discussion on the $H_0$ tension
• Improving data-driven model-independent reconstructions and updated constraints on dark energy models from Horndeski cosmology
• Bayesian analysis of a Unified Dark Matter model with transition: can it alleviate the $H_0$ tension?
• Can dark matter-dark energy interaction alleviate the Cosmic Coincidence Problem?
• Testing anisotropic Hubble expansion
• Analysis of spin directions of galaxies in the DESI Legacy Survey
• The bulk flow motion and the Hubble-Lema\^ıtre law in the Local Universe with the ALFALFA survey
• The tension in the absolute magnitude of Type Ia supernovae
• Narrowing down the Hubble tension to the first two rungs of distance ladders
• Observational constraints in Delta Gravity: CMB and supernovas
• Dark Matter Cosmology with Varying Viscosity: a Possible Resolution to the $S_8$ Tension
• Reference level of the vacuum energy density of the Universe and astrophysical data
• Late-time and Big Bang nucleosynthesis constraints for generic modify gravity surveys
• Analysis of $\sim 10^6$ spiral galaxies from four telescopes shows large-scale patterns of asymmetry in galaxy spin directions
• Difficulties in reconciling non-negligible differences between the local and cosmological values of the gravitational coupling in extended Brans-Dicke theories
• Hubble tension and matter inhomogeneities: a theoretical perspective
• Large-scale asymmetry in galaxy spin directions -- analysis of galaxies with spectra in DES, SDSS, and DESI Legacy Survey
• Exploring parametrized dark energy models in interacting scenario
• Testing the local supervoid solution to the Hubble tension with direct distance tracers
• Constraints on the Hubble and matter density parameters with and without modelling the CMB anisotropies
• Challenges to a sharp change in $G$ as a solution to the Hubble tension
• A nontrivial footprint of standard cosmology in the future observations of low-frequency gravitational waves
• Revisiting cosmological diffusion models in Unimodular Gravity and the $H_0$ tension
• Fermionic wave functions and Grassmann fields as possible sources of dark energy
• Sample Variance for Supernovae Distance Measurements and the Hubble tension
• Probing cosmology with bright sirens from the CosmoDC2_BCO LSST synthetic catalog