Weak-lensing calibration of a stellar mass-based mass proxy for redMaPPer and Voronoi Tessellation clusters in SDSS Stripe 82

Abstract

We present the first weak lensing calibration of ${\mu }_{\star }$, a new galaxy cluster mass proxy corresponding to the total stellar mass of red and blue members, in two cluster samples selected from the SDSS Stripe 82 data: 230 redMaPPer clusters at redshift $0.1\le z<0.33$ and 136 Voronoi Tessellation (VT) clusters at $0.1\le z<0.6$. We use the CS82 shear catalog and stack the clusters in ${\mu }_{\star }$ bins to measure a mass-observable power law relation. For redMaPPer clusters we obtain $M_0=(1.77\pm 0.36)\times 10^{14}{h}^{-1}{M}_{\odot }$, $\alpha =1.74\pm 0.62$. For VT clusters, we find $M_0=(4.31\pm 0.89)\times 10^{14}{h}^{-1}{M}_{\odot }$, $\alpha =0.59\pm 0.54$ and $M_0=(3.67\pm 0.56)\times 10^{14}{h}^{-1}{M}_{\odot }$, $\alpha =0.68\pm 0.49$ for a low and a high redshift bin, respectively. Our results are consistent, internally and with the literature, indicating that our method can be applied to any cluster finding algorithm. In particular, we recommend that ${\mu }_{\star }$ be used as the mass proxy for VT clusters. Catalogs including ${\mu }_{\star }$ measurements will enable its use in studies of galaxy evolution in clusters and cluster cosmology.

Updated to be consistent with the published version

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