Weak lensing calibration of mass bias in the RBC X-ray galaxy cluster catalog

The use of large, X-ray selected galaxy cluster catalogs for cosmological analyses requires a thorough understanding of the X-ray mass estimates, including the possibility of biases due to the assumption of hydrostatic equilibrium. Weak gravitational lensing is an ideal method to shed light on such issues, due to its insensitivity to the cluster dynamical state. We perform a weak lensing calibration of 166 galaxy clusters from the RBC cluster catalog and compare our results to the hydrostatic X-ray masses from that catalog. To interpret the weak lensing signal in terms of cluster masses, we compare the lensing signal to simple theoretical Navarro-Frenk-White models and to simulated cluster lensing profiles, including complications such as cluster substructure, projected large-scale structure, and Malmquist bias. We find evidence of underestimation in the X-ray masses, as expected, with $ = 0.66_{-0.12}^{+0.07}$ for our best-fit model, a more than $4\sigma$ detection of a bias between X-ray and weak lensing masses. The biases in cosmological parameters in a typical cluster abundance measurement that ignores this mass bias will typically exceed the statistical errors.