The LHC provides a unique opportunity to study the self-interaction of the Higgs boson through the rare process of Higgs boson pair production. This process directly probes the structure of the Higgs potential and the mechanism of electroweak symmetry breaking, offering a path to test the Standard Model at a fundamental level and search for deviations hinting at new physics. The rate of di-Higgs production is extremely small, requiring advanced analysis techniques and large datasets. Key final states involve the decay of both Higgs bosons to well-identified particles, such as b-quarks or photons, and rely on high-precision detector technologies and sophisticated reconstruction algorithms. Observing and measuring di-Higgs production is one of the flagship goals of the LHC physics program and will remain central in the upcoming high-luminosity era and planning for future colluders, where the increased sensitivity may open the door to discovering new interactions in the Higgs sector.
