http://arxiv.org/abs/2210.07446
An excess up-scattering mass bias on weak lensing cluster mass estimate is a statistical bias that an observed weak lensing mass ($M_{\rm obs}$) of a cluster of galaxies is, in a statistical sense, larger than its true mass ($M_{\rm true}$) because of a higher chance of up-scattering than that of down-scattering due to random noises in a weak lensing cluster shear profile. This non-symmetric scattering probability is caused by a monotonically decreasing cluster mass function with increasing mass. We examine this bias (defined by $b=M_{\rm obs}/M_{\rm true}$) in weak lensing shear-selected clusters, and present an empirical model for mitigating it. In so doing, we perform the standard weak lensing mass estimate of realistic mock clusters, and find that the weak lensing mass estimate based on the standard $\chi^2$ analysis gives a statistically correct confidence intervals, but resulting best-fit masses are biased high on average. Our correction method uses the framework of the standard Bayesian statistics with the prior of the probability distribution of the cluster mass and concentration parameter from recent empirical models. We test our correction method using mock weak lensing clusters, and find that the method works well with resulting corrected $M_{\rm obs}$-bin averaged mass biases being close to unity within $\sim 10$ percent. We applied the correction method to weak lensing shear-selected cluster sample of Hamana et al. (2020), and present bias corrected weak lensing cluster masses.
T. Hamana
Mon, 17 Oct 22
49/56
Comments: 16 pages, 10 figures, accepted for PASJ, comments welcome
You must be logged in to post a comment.