Measuring the Higgs trilinear coupling is one of the most important physics drivers of the high-luminosity LHC and future colliders given its insight into the mechanism of electroweak symmetry breaking. After a review of proposed collider probes for this interaction, the speaker will demonstrate how a nonstandard value for this coupling predicts unitarity violation at high energies. Depending on the theoretical assumptions, this occurs at energies above 5-13 Tera Electron Volts (TeV) for an order one trilinear modification. This gives a model-independent argument for the energy scale where new physics has to appear by motivating an energy target for future colliders.
