Quasi-2D weak lensing cosmological constraints using the PDF-SYM method

Cosmic shear statistics, such as the two-point correlation function (2PCF), can be evaluated with the PDF-SYM method instead of the traditional weighted-sum approach. It makes use of the full PDF information of the shear estimators, and does not require weightings on the shear estimators, which can in principle introduce additional systematic biases. This work presents our constraints on S₈ and Ω_m from the shear-shear correlations using the PDF-SYM method. The data we use is from the z-band images of the Dark Energy Camera Legacy Survey (DECaLS), which covers about 10000 deg² with more than 100 million galaxies. The shear catalog is produced by the Fourier_Quad method, and well tested on the real data itself with the field-distortion effect. Our main approach is called quasi-2D as we do use the photo-z information of each individual galaxy, but without dividing the galaxies into redshift bins. We mainly use galaxy pairs within the redshift interval between 0.2 and 1.3, and the angular range from 4.7 to 180 arcmin. Our analysis yields S₈ = 0.762 ± 0.026 and Ω_m = 0.234 ± 0.075, with the baryon effects and the intrinsic alignments included. The results are robust against redshift uncertainties. We check the consistency of our results by deriving the cosmological constraints from auto-correlations of γ₁ and γ₂ separately, and find that they are consistent with each other, but the constraints from the γ₁ component are much weaker than that from γ₂. It implies a much worse data quality of γ₁, which is likely due to additional shear uncertainties caused by CCD electronics (according to the survey strategy of DECaLS). We also perform a pure 2D analysis, which gives S₈ = 0.81 ^+0.03_−0.04 and Ω_m = 0.25 ^+0.06_−0.05 . Our findings demonstrate the potential of the PDF-SYM method for precision cosmology.