Systematic Errors in the Hubble Constant Measurement from the Sunyaev-Zel'dovich effect

Abstract

The Hubble constant estimated from the combined analysis of the Sunyaev-Zel'dovich effect and X-ray observations of galaxy clusters is systematically lower than those from other methods by 10-15 percent. We examine the origin of the systematic underestimate using an analytic model of the intracluster medium (ICM), and compare the prediction with idealistic triaxial models and with clusters extracted from cosmological hydrodynamical simulations. We identify three important sources for the systematic errors; density and temperature inhomogeneities in the ICM, departures from isothermality, and asphericity. In particular, the combination of the first two leads to the systematic underestimate of the ICM spectroscopic temperature relative to its emission-weighed one. We find that these three systematics well reproduce both the observed bias and the intrinsic dispersions of the Hubble constant estimated from the Sunyaev-Zel'dovich effect.

26 pages, 7 figures, accepted for publication in ApJ, Minor changes

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• Deriving the Hubble constant using Planck and XMM-Newton observations of galaxy clusters
• Measuring $H_0$ using X-ray and SZ effect observations of dynamically relaxed galaxy clusters
• Extracting Galaxy Cluster Gas Inhomogeneity from X-ray Surface Brightness: A Statistical Approach and Application to Abell 3667
• Constraining Intra-cluster Gas Models with AMiBA13
• Evolution of axis ratios from phase space dynamics of triaxial collapse