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We present cosmological constraints using the abundance of weak-lensing shear-selected galaxy clusters in the Hyper Suprime-Cam (HSC) Subaru Strategic Program. The clusters are selected on the mass maps constructed using the three-year (Y3) weak-lensing data with an area of 500~deg², resulting in a sample size of 129 clusters with high signal-to-noise ratios of 4. 7. Owing to the deep, wide-field, and uniform imaging of the HSC survey, this is by far the largest sample of shear-selected clusters, in which the selection solely depends on gravity and is free from any assumptions about the dynamical state. Informed by the optical counterparts, the shear-selected clusters span a redshift range of z0. 7 with a median of z0. 3. The lensing sources are securely selected at z0. 7 with a median of z1. 3, leading to nearly zero cluster member contamination. We carefully account for (1) the bias in the photometric redshift of sources, (2) the bias and scatter in the weak-lensing mass using a simulation-based calibration, and (3) the measurement uncertainty that is directly estimated on the mass maps using an injection-based method developed in a companion paper (Chen et al. submitted). In a blind analysis, the fully marginalized posteriors of the cosmological parameters are obtained as ₌ = 0. 50^+0. 28-₀. ₂₄, ₈ = 0. 685^+0. 161-₀. ₀₈₈, S₈₈ (₌/0. 3) ^0. 25 = 0. 835^+0. 041-₀. ₀₄₄, and ₈₌/₀. ₃ = 0. 993^+0. 084-₀. ₁₂₆ in a flat CDM model. We compare our cosmological constraints with other studies, including those based on cluster abundances, galaxy-galaxy lensing and clustering, and Cosmic Microwave Background observed by Planck, and find good agreement at levels of 2. abridged
Chiu et al. (Mon,) studied this question.