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Unbiased and precise mass calibration of galaxy clusters is crucial to fullyexploit galaxy clusters as cosmological probes. Stacking of weak lensing signalallows us to measure observable-mass relations down to less massive halos haloswithout extrapolation. We propose a Bayesian inference method to constrain theintrinsic scatter of the mass proxy in stacked analyses. The scatter of thestacked data is rescaled with respect to the individual scatter based on thenumber of binned clusters. We apply this method to the galaxy clusters detectedwith the AMICO (Adaptive Matched Identifier of Clustered Objects) algorithm inthe third data release of the Kilo-Degree Survey. The results confirm theoptical richness as a low scatter mass proxy. Based on the optical richness andthe calibrated weak lensing mass-richness relation, mass of individual objectsdown to ~10^13 solar masses can be estimated with a precision of ~20 per cent.

CoMaLit -- VI. Intrinsic scatter in stacked relations. The weak lensing AMICO galaxy clusters in KiDS-DR3