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In these two papers, the authors use mock maps to establish a method for studying the abundance and calibrating the weak-lensing based mass of galaxy clusters. They set up a likelihood function, thus obtaining cosmological constraints from a sample of 1,005 clusters detected with the South Pole Telescope, in combination with further cluster data from the Dark Energy Survey, the Wide-field Infrared Survey Explorer, and the Hubble Space Telescope.
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Bocquet et al. (2024) studied this question.
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