Cosmological Inference for the Euclid Mission: Scientific Validation, Prospects, and Future

The Euclid mission has entered a decisive phase, bridging years of theoretical preparation with the first steps toward cosmological exploitation. In this talk, I will present recent progress in the scientific validation of Euclid’s cosmological inference pipelines — from the modeling of large-scale structure observables and their theoretical predictions, to the construction and testing of the official likelihoods within the Science Ground Segment. I will highlight the role of the Cosmological Likelihood for Observables in Euclid (CLOE) and its validation, focusing on the photometric primary probe of Euclid, which together establish the foundation for robust cosmological analysis. Finally, I will outline the prospects and future directions for cosmological inference as Euclid moves toward its first major data release, paving the way for transformative discoveries in the dark Universe.