3D-Matched-Filter Galaxy Cluster Finder I: Selection Functions and CFHTLS Deep Clusters

We present an optimized galaxy cluster finder, 3D-Matched-Filter (3D-MF), which utilizes galaxy cluster radial profiles, luminosity functions and redshift information to detect galaxy clusters in optical surveys. This method is an improvement over other matched-filter methods, most notably through implementing redshift slicing of the data to significantly reduce lineof-sight projections and related false positives. We apply our method to the Canada―France― Hawaii Telescope Legacy Survey (CFHTLS) Deep fields, finding ∼170 galaxy clusters deg ―2 in the 0.2 ≤ z ≤ 1.0 redshift range. Future surveys such as LSST and JDEM can exploit 3D-MF's automated methodology to produce complete and reliable galaxy cluster catalogues. We determine the reliability and accuracy of the statistical approach of our method through a thorough analysis of mock data from the Millennium Simulation. We detect clusters with 100 per cent completeness for M 200 ≥ 3.0 × 10 14 M ⊙ , 88 per cent completeness for M200 ≥ 1.0 x 10 14 M ⊙ and 72 per cent completeness well into the 10 13 M ⊙ cluster mass range. We show a 36 per cent multiple detection rate for cluster masses ≥ 1.5 x 10 13 M ⊙ and a 16 per cent false detection rate for galaxy clusters ≳5 x 10 13 M ⊙ , reporting that for clusters with masses ≲5 × 10 13 M ⊙ false detections may increase up to ∼24 per cent. Utilizing these selection functions we conclude that our galaxy cluster catalogue is the most complete CFHTLS Deep cluster catalogue to date.