Title: Cosmological Constraints with Second and Third-order Shear Statistics
Abstract: Weak lensing higher-order statistics have recently been applied to Stage III surveys to capture the non-Gaussian information of the shear field. While many approaches rely on simulations, certain statistics can be modeled analytically, such as the bispectrum and its real-space counterpart, the three-point correlation function. I will present the works of Gomes et al. (2025a, 2503.03964), Gomes et al. (2025b, 2508.14018), and Sugiyama et al. (2025, 2508.14019), where we develop a framework for the joint cosmological analysis of the two-point correlation function and the skewness of the mass aperture statistic, a compressed representation of the full three-point function. Applying this methodology to DES and HSC data, we obtain a significant improvement in cosmological constraints. I will also discuss ongoing developments in the modeling of intrinsic alignments, which will be essential for future third-order shear analyses.
