Higgs boson pair (HH) production is a key process to probe the structure of the scalar potential and to test the Standard Model (SM). Beyond providing access to the Higgs self-coupling, HH production is sensitive to a wide class of new physics effects. In the Higgs Effective Field Theory (HEFT) framework, simultaneous scans of multiple anomalous couplings allow a comprehensive exploration of deviations in the Higgs self-interaction as well as in its couplings to fermions and gluons.
After a brief overview of the main production mechanisms and experimental challenges, the most recent HH search results at the Large Hadron Collider will be presented, including results on the combination of the different decay channels. Particular emphasis will be given to the newly published results in the HH → bbγγ final state, which combines the large branching fraction of H→bb with the excellent diphoton mass resolution of H→γγ, making it one of the most sensitive channels despite the small branching ratio. The implications of these results in the HEFT framework will be discussed, together with projections for the combined HH program and for individual decay channels at the High-Luminosity LHC.