We present measurements of cosmic shear two-point correlation functions (TPCFs) from Hyper Suprime-Cam Subaru Strategic Program (HSC SSP) first-year data, and derived cosmological constraints based on a blind analysis. The HSC first-year shape catalog is divided into four tomographic redshift bins ranging from $z=0.3$ to 1.5 with equal widths of $\Delta z =0.3$. The unweighted galaxy number densities in each tomographic bin are 5.9, 5.9, 4.3, and 2.4 arcmin$^{-2}$ from lower to higher redshifts, respectively. We adopt the standard TPCF estimators, $\xi_\pm$, for our cosmological analysis, given that we find no evidence of the significant B-mode shear. The TPCFs are detected at high significance for all ten combinations of auto- and cross-tomographic bins over a wide angular range, yielding a total signal-to-noise ratio of 19 in the angular ranges adopted in the cosmological analysis, $7'<\theta<56'$ for $\xi_+$ and $28'<\theta<178'$ for $\xi_-$. We perform the standard Bayesian likelihood analysis for cosmological inference from the measured cosmic shear TPCFs, including contributions from intrinsic alignment of galaxies as well as systematic effects from PSF model errors, shear calibration uncertainty, and source redshift distribution errors. We adopt a covariance matrix derived from realistic mock catalogs constructed from full-sky gravitational lensing simulations that fully account for survey geometry and measurement noise. For a flat $\Lambda$ cold dark matter model, we find $S_8 \equiv \sigma_8\sqrt{\Omega_m/0.3}=0.804_{-0.029}^{+0.032}$, and $\Omega_m=0.346_{-0.100}^{+0.052}$. We carefully check the robustness of the cosmological results against astrophysical modeling uncertainties and systematic uncertainties in measurements, and find that none of them has a significant impact on the cosmological constraints.

中文翻译：

---

来自宇宙剪切两点相关函数与 HSC 调查第一年数据的宇宙学约束

我们展示了来自 Hyper Suprime-Cam Subaru 战略计划 (HSC SSP) 第一年数据的宇宙剪切两点相关函数 (TPCF) 的测量结果，并基于盲分析得出了宇宙学约束。HSC 第一年形状目录分为四个层析成像红移 bin，范围从 $z=0.3$ 到 1.5，宽度相等，$\Delta z =0.3$。每个断层扫描箱中未加权的星系数密度从较低到较高的红移分别为 5.9、5.9、4.3 和 2.4 arcmin$^{-2}$。我们采用标准的 TPCF 估计量 $\xi_\pm$ 进行我们的宇宙学分析，因为我们没有发现显着 B 模式剪切的证据。在很宽的角度范围内，对于自动和交叉断层扫描箱的所有十种组合，检测到的 TPCF 都具有很高的显着性，在宇宙学分析中采用的角度范围内，总信噪比为 19，$\xi_+$ 为 $7'<\theta<56'$，$\xi_$ 为 $28'<\theta<178'$ -$。我们对来自测量的宇宙剪切 TPCF 的宇宙学推断进行标准贝叶斯似然分析，包括来自星系内在对齐的贡献以及来自 PSF 模型误差、剪切校准不确定性和源红移分布误差的系统影响。我们采用了一个协方差矩阵，该矩阵源自真实的模拟目录，该目录由全天引力透镜模拟构建，完全考虑了测量几何和测量噪声。对于平坦的 $\Lambda$ 冷暗物质模型，我们发现 $S_8 \equiv \sigma_8\sqrt{\Omega_m/0.3}=0.804_{-0.029}^{+0.032}$，并且 $\Omega_m=0.346_{ -0.100}^{+0.052}$。