Abstract

ABSTRACT We perform weak-lensing tomographic peak studies using the first year of shear data from the Hyper Suprime-Cam Subaru Strategic Program (HSC-SSP) survey. The effective area used in our analyses after field selection, masking, and boundary exclusions is $\sim 58 \deg ^2$. The source galaxies are divided into low- and high-redshift bins, with 0.2 ≤ zp ≤ 0.85 and 0.85 ≤ zp ≤ 1.5, respectively. We utilize our halo-based theoretical peak model, including the projection effect of large-scale structures, to derive cosmological constraints from the observed tomographic high-peak abundances with the signal-to-noise ratio in the range of νN = [3.5, 5.5]. These high peaks are closely associated with the lensing effects of massive clusters of galaxies. Thus, the inclusion of their member galaxies in the shear catalogue can lead to significant source clustering and dilute their lensing signals. We account for this systematic effect in our theoretical modelling. In addition, the impacts of baryonic effects, galaxy intrinsic alignments, as well as residual uncertainties in shear and photometric redshift calibrations are also analysed. Within the flat ΛCDM model, the derived constraint is $S_8=\sigma _8(\Omega _{\rm m}/0.3)^{0.5} =0.758_{-0.076}^{+0.033}$ and $0.768_{-0.057}^{+0.030}$ with the source clustering information measured from the two cluster catalogues CAMIRA and WZL, respectively. The asymmetric uncertainties are due to the different degeneracy direction of (Ωm, σ8) from high-peak abundances compared with that from the cosmic shear two-point correlations, which gives rise to the power index α ≈ 0.5. Fitting to our constraints, we obtain α ≈ 0.38 and $\Sigma _8=\sigma _8(\Omega _{\rm m}/0.3)^{\alpha }=0.772_{-0.032}^{+0.028}$ (CAMIRA) and $0.781_{-0.033}^{+0.028}$ (WZL). In comparison with the results from non-tomographic peak analyses, the 1σ uncertainties on Σ8 are reduced by a factor of ∼1.3.

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