The variance of the locally measured Hubble parameter explained with different estimators

Abstract

We study the expected variance of measurements of the Hubble constant, $H_0$, as calculated in either linear perturbation theory or using non-linear velocity power spectra derived from $N$-body simulations. We compare the variance with that obtained by carrying out mock observations in the N-body simulations, and show that the estimator typically used for the local Hubble constant in studies based on perturbation theory is different from the one used in studies based on N-body simulations. The latter gives larger weight to distant sources, which explains why studies based on N-body simulations tend to obtain a smaller variance than that found from studies based on the power spectrum. Although both approaches result in a variance too small to explain the discrepancy between the value of $H_0$ from CMB measurements and the value measured in the local universe, these considerations are important in light of the percent determination of the Hubble constant in the local universe.

arXiv comment16 pages, 5 figures. v2: Minor corrections in text; results unchanged

References in corpus (27)

• Planck 2015 results. XIII. Cosmological parameters
• The cosmological simulation code GADGET-2
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• A 2.4% Determination of the Local Value of the Hubble Constant
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• H0 Revisited
• Toward a New Geometric Distance to the Active Galaxy NGC 4258. III. Final Results and the Hubble Constant
• A Local Hubble Bubble from SNe Ia?
• Planck intermediate results. LI. Features in the cosmic microwave background temperature power spectrum and shifts in cosmological parameters
• Cosmic variance and the measurement of the local Hubble parameter
• The value of H_0 in the inhomogeneous Universe
• Scale dependence of cosmological backreaction
• Determining $H_0$ with Bayesian hyper-parameters
• Cosmic variance of the local Hubble flow in large-scale cosmological simulations
• Expectations for the Difference Between Local and Global Measurements of the Hubble Constant
• Do we care about the distance to the CMB? Clarifying the impact of second-order lensing
• On the local variation of the Hubble constant
• Implications of Cosmic Microwave Background Anisotropies for Large Scale Variations in Hubble's Constant
• Residual Hubble-bubble effects on supernova cosmology
• What is the distance to the CMB?
• Measuring Hubble's Constant in our Inhomogeneous Universe
• Inhomogeneity-induced variance of cosmological parameters
• The Local Value of $H_0$ in an Inhomogeneous Universe
• Kinematic Bias in Cosmological Distance Measurement
• Measuring the velocity field from type Ia supernovae in an LSST-like sky survey

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