Overcoming Systematics in Sunyaev-Zel'dovich Effect Distance Measurements

Mathematics – Logic

Scientific paper

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Scientific paper

We use an ensemble of numerical cluster simulations to examine the expected statistical and systematic uncertainties encountered when using interferometric Sunyaev-Zel'dovich (SZ) and X-ray observations to measure distances. We use clusters evolved within four cosmological models of interest, including an Omega_ {0}=0.3 model with and without Lambda_ {0} and a model with Omega =1. Cluster asphericities are common in all our models, because there is significant cluster accretion at the present epoch. We find that these realistic departures from spherical symmetry result in a ~ 20% random SZ distance uncertainty and only a small systematic. On the other hand, the gradual drop in intracluster medium temperature with distance from the cluster center introduces a systematic distance error of similar scale when clusters are analyzed using isothermal models. We estimate to what extent the Chandra and XMM X-ray telescopes will allow more sophisticated cluster analyses that will reduce systematic errors in SZ distance estimates.

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