  After the discovery of a Higgs boson at the LHC, the next important step is
to measure its couplings to fermions and bosons to unravel its true nature. In
order to ultimately test the shape of the scalar potential that triggers the
electroweak symmetry breaking, it is crucial to measure the triple Higgs
coupling at the LHC. We then review the theoretical predictions of the main
Standard Model Higgs pair production mechanisms that are needed for such a
measurement and present the latest developments in the phenomenological
analyses in view of a high luminosity LHC.
