${\mu }_{\star }$ Masses: Weak Lensing Calibration of the Dark Energy Survey Year 1 redMaPPer Clusters using Stellar Masses

Abstract

We present the weak lensing mass calibration of the stellar mass based ${\mu }_{\star }$ mass proxy for redMaPPer galaxy clusters in the Dark Energy Survey Year 1. For the first time we are able to perform a calibration of ${\mu }_{\star }$ at high redshifts, $z>0.33$. In a blinded analysis, we use $\sim 6,000$ clusters split into 12 subsets spanning the ranges $0.1⩽z<0.65$ and ${\mu }_{\star }$ up to $\sim 5.5\times 10^{13}{M}_{\odot }$, and infer the average masses of these subsets through modelling of their stacked weak lensing signal. In our model we account for the following sources of systematic uncertainty: shear measurement and photometric redshift errors, miscentring, cluster-member contamination of the source sample, deviations from the NFW halo profile, halo triaxiality and projection effects. We use the inferred masses to estimate the joint mass--${\mu }_{\star }$--$z$ scaling relation given by $⟨M_{200c}|{\mu }_{\star },z⟩=M_0({\mu }_{\star }/5.16\times 10^{12}{\mathrm{M}}_{\odot }{)}^{F_{{\mu }_{\star }}}((1+z)/1.35{)}^{G_z}$. We find $M_0=(1.14\pm 0.07)\times 10^{14}{\mathrm{M}}_{\odot }$ with $F_{{\mu }_{\star }}=0.76\pm 0.06$ and $G_z=-1.14\pm 0.37$. We discuss the use of ${\mu }_{\star }$ as a complementary mass proxy to the well-studied richness $\lambda$ for: $i)$ exploring the regimes of low $z$, $\lambda <20$ and high $\lambda$, $z\sim 1$; $ii)$ testing systematics such as projection effects for applications in cluster cosmology.

20 pages, 10 figures, submitted to MNRAS

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