Higher Order Weak Lensing Statistics in Euclid

The Euclid satellite, launched in 2023, is now delivering exquisite data allowing us to test our cosmological models through various probes. Cosmic shear is one such probe focusing on extracting the cosmological information from the weak lensing effect by the large scale structure. Its classical analysis involves two point correlation functions which extract the Gaussian part of this signal. In this presentation, I will introduce so-called higher-order statistics which can additionally extract the non-Gaussian information embedded at the small scale of the large scale structure. Based on two recent papers (Euclid Collaboration: Ajani et al. 2023; Euclid Collaboration: Vinciguerra et al. 2025) I will demonstrate how these new estimators can improve the scientific goals of the Euclid mission, in particular tightening the forecasts on the dark energy equation of state by a factor of 3, and will present realistic setup and ongoing work to apply them to the first data release of Euclid planned next year.