Grandis, S and Klein, M and Desai, Shantanu and et al, .
(2020)
Validation of Selection Function, Sample Contamination
and Mass Calibration in Galaxy Cluster Samples.
arxiv.org.
Abstract
We construct and validate the selection function of the MARD-Y3 sample. This sample was selected through optical follow-up of the 2nd ROSAT faint source catalog
(2RXS) with Dark Energy Survey year 3 (DES-Y3) data. The selection function is
modeled by combining an empirically constructed X-ray selection function with an incompleteness model for the optical follow-up. We validate the joint selection function
by testing the consistency of the constraints on the X-ray flux–mass and richness–
mass scaling relation parameters derived from different sources of mass information:
(1) cross-calibration using SPT-SZ clusters, (2) calibration using number counts in
X-ray, in optical and in both X-ray and optical while marginalizing over cosmological
parameters, and (3) other published analyses. We find that the constraints on the
scaling relation from the number counts and SPT-SZ cross-calibration agree, indicating that our modeling of the selection function is adequate. Furthermore, we apply a
largely cosmology independent method to validate selection functions via the computation of the probability of finding each cluster in the SPT-SZ sample in the MARD-Y3
sample and vice-versa. This test reveals no clear evidence for MARD-Y3 contamination, SPT-SZ incompleteness or outlier fraction. Finally, we discuss the prospects of
the techniques presented here to limit systematic selection effects in future cluster
cosmological studies.
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