Abstract
The Higgs boson is the first fundamental scalar to be discovered. A crucial task following this discovery is to directly measure its couplings to the Standard Model content. These include the self-couplings that can be probed via production of multiple Higgs bosons at hadron colliders. I will be discussing recent phenomenological advancements in this direction, focussing on Higgs boson pair and triple production at the Large Hadron Collider and a Future Circular hadron Collider (FCC).
Highlights
In this paper, I will be discussing ways of measuring the coupling between scalar particles at colliders
Triple Higgs boson production will probably be impossible to observe at the LHC, even after the HL-LHC
For the sake of completeness and without delving into detail, it is worth mentioning the recent studies that focus on indirect constraints on the triple Higgs coupling
Summary
I will be discussing ways of measuring the coupling between scalar particles at colliders. Let us consider a set of scalar particles Si, where, e.g., i = {1, 2, 3, 4}. Examples of the vertices that we would be interested in appear in figure 1. The relevant Lagrangian would contain interactions, e.g., of the form of. Ijk ijkl where λijk and λijkl are the relevant three- and four-point couplings and Λ is some mass scale characterising the interactions. If one of these particles happens to couple to the constituents of hadrons, say, S3, this would result in direct production, for example, of the final states S1S2 or S1S2S4
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