We present a stacked weak-lensing analysis of an approximately mass-selected sample of 50 galaxy clusters at 0.15 < z < 0.3 , based on observations with Suprime-Cam on the Subaru Telescope Based in part on observations obtained at the Subaru Observatory under the Time Exchange program operated between the Gemini Observatory and the Subaru Observatory . Based in part on data collected at Subaru Telescope and obtained from the SMOKA , which is operated by the Astronomy Data Center , National Astronomical Observatory of Japan . .
We develop a new method for selecting lensed background galaxies from which we estimate that our sample of red background galaxies suffers just 1 \% contamination .
We detect the stacked tangential shear signal from the full sample of 50 clusters , based on this red sample of background galaxies , at a total signal-to-noise ratio of { S / N } = 32.7 .
The Navarro-Frenk-White model is an excellent fit to the data , yielding sub-10 % statistical precision on mass and concentration : \mathrel { M _ { vir } } = 7.19 ^ { +0.53 } _ { -0.50 } \times 10 ^ { 14 } \mathrel { h ^ { -1 } M _ { % \odot } } , \mathrel { c _ { vir } } = 5.41 ^ { +0.49 } _ { -0.45 } ( c _ { 200 } = 4.22 ^ { +0.40 } _ { -0.36 } ) .
Tests of a range of possible systematic errors , including shear calibration and stacking-related issues , indicate that they are sub-dominant to the statistical errors .
The concentration parameter obtained from stacking our approximately mass-selected cluster sample is broadly in line with theoretical predictions .
Moreover , the uncertainty on our measurement is comparable with the differences between the different predictions in the literature .
Overall our results highlight the potential for stacked weak-lensing methods to probe the mean mass density profile of cluster-scale dark matter halos with upcoming surveys , including Hyper-Suprime-Cam , Dark Energy Survey , and KIDS .