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We perform a blinded cosmology analysis with cosmic shear two-pointcorrelation functions (2PCFs) measured from more than 25 million galaxies inthe Hyper Suprime-Cam three-year shear catalog in four tomographic redshiftbins ranging from 0.3 to 1.5. After conservative masking and galaxy selection,the survey covers 416 deg$^2$ of the northern sky with an effective galaxynumber density of 15 arcmin$^{-2}$ over the four redshift bins. The 2PCFsadopted for cosmology analysis are measured in the angular range: $7.1 <\theta/{\rm arcmin} < 56.6$ for $\xi_+$ and $31.2 <\theta/{\rm arcmin} < 248$for $\xi_-$, with a total signal-to-noise ratio of 26.6. We apply aconservative, wide, flat prior on the photometric redshift errors on the lasttwo tomographic bins, and the relative magnitudes of the cosmic shear amplitudeacross four redshift bins allow us to calibrate the photometric redshifterrors. With this flat prior on redshift errors, we find $\Omega_{\rmm}=0.256_{-0.044}^{+0.056}$ and $S_8\equiv \sigma_8 \sqrt{\Omega_{\rmm}/0.3}=0.769_{-0.034}^{+0.031}$ (both 68\% CI) for a flat $\Lambda$ cold darkmatter cosmology. We find, after unblinding, that our constraint on $S_8$ isconsistent with the Fourier space cosmic shear and the 3$\times$2pt analyses onthe same HSC dataset. We carefully study the potential systematics fromastrophysical and systematic model uncertainties in our fiducial analysis usingsynthetic data, and report no biases (including projection bias in theposterior space) greater than $0.5\sigma$ in the estimation of $S_8$. Ouranalysis hints that the mean redshifts of the two highest tomographic bins arehigher than initially estimated. In addition, a number of consistency tests areconducted to assess the robustness of our analysis. Comparing our result withPlanck-2018 cosmic microwave background observations, we find a ~$2\sigma$tension for the $\Lambda$CDM model.

Hyper Suprime-Cam Year 3 Results: Cosmology from Cosmic Shear Two-point Correlation Functions