Orientation Bias of Optically Selected Galaxy Clusters and Its Impact on Stacked Weak Lensing Analyses
J\"org P. Dietrich, Yuanyuan Zhang, Jeeseon Song, Christopher P., Davis, Timothy A. McKay, Leon Baruah, Matthew Becker, Christophe Benoist,, Michael Busha, Luiz A. N. da Costa, Jiangang Hao, Marcio A. G. Maia,, Christopher J. Miller, Ricardo Ogando, A. Kathy Romer, Eduardo Rozo

TL;DR
This study investigates the orientation bias in optically selected galaxy clusters and its effect on weak lensing mass estimates, revealing a significant overestimation that impacts cosmological parameter inference.
Contribution
The paper demonstrates that optical selection biases cause elongation along the line-of-sight, leading to overestimated weak-lensing masses in stacked galaxy clusters.
Findings
Optical selection biases induce elongation along the line-of-sight.
Weak lensing masses are overestimated by 3-6% due to orientation bias.
This bias affects cosmological parameter estimates from large surveys.
Abstract
Weak-lensing measurements of the averaged shear profiles of galaxy clusters binned by some proxy for cluster mass are commonly converted to cluster mass estimates under the assumption that these cluster stacks have spherical symmetry. In this paper we test whether this assumption holds for optically selected clusters binned by estimated optical richness. Using mock catalogues created from N-body simulations populated realistically with galaxies, we ran a suite of optical cluster finders and estimated their optical richness. We binned galaxy clusters by true cluster mass and estimated optical richness and measure the ellipticity of these stacks. We find that the processes of optical cluster selection and richness estimation are biased, leading to stacked structures that are elongated along the line-of-sight. We show that weak-lensing alone cannot measure the size of this orientation…
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