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

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

Jan 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aas...21914312d&link_type=abstract

American Astronomical Society, AAS Meeting #219, #143.12

Astronomy and Astrophysics

Astronomy

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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