Higgs boson pair production provides direct experimental access to the trilinear Higgs self-coupling and hence plays a central role in the energy frontier physics program. This paper presents the status of the searches for Di-Higgs production at the LHC as the field prepares for legacy analyses of the full Run 3 dataset. In the last decade, expected sensitivities have progressed from order-of-magnitude limits on the cross section to within reach of the Standard Model prediction. The first joint ATLAS and CMS combination, using Run 2 datasets of 126–\(140\ \mathrm{fb}^{-1}\) at \(13\ \mathrm{TeV}\), reaches an expected upper limit of \(1.7\) times the SM HH production rate in the absence of signal. The three most sensitive decay channels, \(b\bar{b}\gamma\gamma\), \(b\bar{b}\tau^{+}\tau^{-}\), and \(b\bar{b}b\bar{b}\), are used to examine two developments behind this progress. The first is the increase in sensitivity enabled by machine-learning advances in reconstruction, triggering, and analysis techniques, beyond the gain expected from luminosity alone. The second is the growing impact of background and signal modeling, including theoretical uncertainties. Current searches remain statistically limited overall, but their dominant systematic uncertainties already reduce the sensitivity and will determine how effectively the larger LHC and HL-LHC datasets could be used.



