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Dietrich, J P; Bocquet, S; Schrabback, T; Applegate, D; Hoekstra, H; Grandis, S; Mohr, J J; Allen, S W; Bayliss, M B; Benson, B A; Bleem, L E; Brodwin, M; Bulbul, E; Capasso, R; Chiu, I; Crawford, T M; Gonzalez, A H; de Haan, T; Klein, M; von der Linden, A; Mantz, A B; Marrone, D P; McDonald, M; Raghunathan, S; Rapetti, D; Reichardt, C L; Saro, A; Stalder, B; Stark, A; Stern, C; Stubbs, C
Monthly notices of the Royal Astronomical Society, 03/2019, Volume: 483, Issue: 3Journal Article
Uncertainty in the mass-observable scaling relations is currently the limiting factor for galaxy cluster based cosmology. Weak gravitational lensing can provide a direct mass calibration and reduce the mass uncertainty. We present new ground-based weak lensing observations of 19 South Pole Telescope (SPT) selected clusters and combine them with previously reported space-based observations of 13 galaxy clusters to constrain the cluster mass scaling relations with the Sunyaev-Zel'dovich effect (SZE), the cluster gas mass $M_\mathrm{gas}$, and $Y_\mathrm{X}$, the product of $M_\mathrm{gas}$ and X-ray temperature. We extend a previously used framework for the analysis of scaling relations and cosmological constraints obtained from SPT-selected clusters to make use of weak lensing information. Here, we introduce a new approach to estimate the effective average redshift distribution of background galaxies and quantify a number of systematic errors affecting the weak lensing modelling. These errors include a calibration of the bias incurred by fitting a Navarro-Frenk-White profile to the reduced shear using $N$-body simulations. We blind the analysis to avoid confirmation bias. We are able to limit the systematic uncertainties to 6.4% in cluster mass (68% confidence). Our constraints on the mass-X-ray observable scaling relations parameters are consistent with those obtained by earlier studies, and our constraints for the mass-SZE scaling relation are consistent with the the simulation-based prior used in the most recent SPT-SZ cosmology analysis. We can now replace the external mass calibration priors used in previous SPT-SZ cosmology studies with a direct, internal calibration obtained on the same clusters.
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