Precision QCD computation in the small x regime

A major focus of the scientific programs at the future Electron–Ion Collider and the upcoming upgrades to the Large Hadron Collider is the search for and study of a new state of nuclear matter known as the Color Glass Condensate (CGC). In this extreme regime, matter is dominated by an exceptionally dense system of gluons, the particles that bind quarks together inside protons and neutrons. Theoretical predictions from the CGC formalism have been compared with experimental data from HERA, RHIC, and the LHC, revealing intriguing hints of this phenomenon, although definitive evidence remains elusive. In this talk, I will provide an overview of the latest theoretical developments in CGC-based calculations, with an emphasis on state-of-the-art precision computations for a variety of processes at current and future particle colliders.