Next Generation Virgo Cluster Survey. XXI. The weak lensing masses of the CFHTLS and NGVS RedGOLD galaxy clusters and calibration of the optical richness

Abstract: We measured stacked weak lensing cluster masses for a sample of 1325 galaxy clusters detected by the RedGOLD algorithm in the Canada-France-Hawaii Telescope Legacy Survey W1 and the Next Generation Virgo Cluster Survey at $0.2<z<0.5$, in the optical richness range $10<\lambda<70$. After a selection of our best richness subsample ($20<\lambda<50$), this is the most comprehensive lensing study of a $\sim 100\%$ complete and $\sim 90\%$ pure optical cluster catalogue in this redshift range, with a total of 346 clusters in $\sim164~deg^2$. We test three different mass models, and our best model includes a basic halo model, with a Navarro Frenk and White profile, and correction terms that take into account cluster miscentering, non-weak shear, the two-halo term, the contribution of the Brightest Cluster Galaxy, and an a posteriori correction for the intrinsic scatter in the mass-richness relation. With this model, we obtain a mass-richness relation of $\log{M_{\rm 200}/M_{\odot}}=(14.48\pm0.04)+(1.14\pm0.23)\log{(\lambda/40)}$ (statistical uncertainties). This result is consistent with other published lensing mass-richness relations. When compared to X-ray masses and mass proxies, we find that on average weak lensing masses are $\sim 10\%$ higher than those derived in the X-ray in the range $2\times10^{13}M_{\rm \odot}<E(z) M^{X}_{\rm 200}<2\times10^{14}M_{\rm \odot}$, in agreement with most previous results and simulations. We also give the coefficients of the scaling relations between the lensing mass and X-ray mass proxies, $L_X$ and $T_X$, and compare them with previous results.