Measuring the Mass Dependent Bias of the Spatial Correlation Function Using the C4 Cluster Catalog

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We measure the bias of the cluster correlation function, and obtain its dependence on mass through the use of a new cluster mass estimator. Our data are based on analysis of 2000 clusters within z=0.15 from the most recent version of the C4 cluster catalog - one of the largest spectroscopic cluster catalogs available, with a highly complete and well-understood selection function. We explore two different methods for measuring the covariance and errors of our correlation functions - the Jackknife and Bootstrap methods - and compare the predictions from these methods for a mock catalog with known bias. We then measure the bias by comparing the correlation function for sub-samples of our catalog against an unbiased theoretical correlation function derived from a large suite of simulations. By measuring the bias in multiple luminosity bins, we relate the bias to luminosity as a mass proxy and then measure the average mass of the clusters in each bin by stacking the caustic surfaces. This allows us to present the correlation function bias as a function of mass, which will improve our ability to link observation and theory in the formation of structure.

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