A theoretical status of the triple Higgs coupling studies at the LHC

Now that a Higgs boson has been discovered at the LHC, measuring its couplings to other particles is the next important step. In order to probe the electroweak symmetry breaking mechanism at its core it is crucial to reconstruct the scalar potential and hence measure the triple Higgs coupling at the LHC. We present a review of the main Standard Model Higgs boson pair production mechanisms in which the triple Higgs coupling plays a role and present the latest phenomenological analyses in view of a high luminosity LHC. One example of an analysis in the Two-Higgs-Doublet model will also be given as an illustration of an extended Higgs sector.