Dark Energy Survey Year 3 results: Simulation-based cosmological inference with wavelet harmonics, scattering transforms, and moments of weak lensing mass maps. II. cosmological results

We present a simulation-based cosmological analysis using a combination of Gaussian and non-Gaussian statistics of the weak lensing mass (convergence) maps from the first three years (Y3) of the Dark Energy Survey (DES). We implement: 1) second and third moments; 2) wavelet phase harmonics; 3) the scattering transform. Our analysis is fully based on simulations, spans a space of seven wCDM cosmological parameters, and forward models the most relevant sources of systematics inherent in the data: masks, noise variations, clustering of the sources, intrinsic alignments, and shear and redshift calibration. We implement a neural network compression of the summary statistics, and we estimate the parameter posteriors using a simulation-based inference approach. Including and combining different non-Gaussian statistics is a powerful tool that strongly improves constraints over Gaussian statistics (in our case, the second moments) ; in particular, the Figure of Merit FoM (S₈, ₌) is improved by 70 percent (CDM) and 90 percent (wCDM). When all the summary statistics are combined, we achieve a 2 percent constraint on the amplitude of fluctuations parameter S₈ ₈ (₌/0. 3) ^0. 5, obtaining S₈ = 0. 794 0. 017 (CDM) and S₈ = 0. 817 0. 021 (wCDM). The constraints from different statistics are shown to be internally consistent (with a p-value>0. 1 for all combinations of statistics examined). We compare our results to other weak lensing results from the DES Y3 data, finding good consistency; we also compare with results from external datasets, such as constraints from the Cosmic Microwave Background, finding statistical agreement, with discrepancies no greater than <2. 2.