In the Standard Model, electroweak symmetry breaking follows from a simple Ginzburg–Landau φ4 potential, and the self-couplings of the Higgs boson are uniquely determined in terms of its mass and its vacuum expectation value. Measuring those self-interactions independently is the crucial step we need in order to probe the structure of the Higgs potential.
In this talk I will discuss the determination of the Higgs trilinear coupling at future colliders, and in particular at the HL-LHC, using an effective field theory approach. I will argue that a global analysis of the Higgs interactions is necessary, and I will analyze the interplay between the direct constraints from double-Higgs production and the indirect bounds that can be obtained from single-Higgs processes.
