Probing the Higgs potential and beyond with multi-Higgs production at LHC

Higgs boson pair production has received much attention in recent years, in part due to the ATLAS and CMS experiments achieving much greater sensitivity to this process than was initially expected. The theoretical implications are broad, ranging from probing the form of the Higgs potential (with consequences for cosmology via the electroweak phase transition) to constraining theories beyond the Standard Model that predict new particles that might decay into Higgs bosons or modify known interactions in ways that can be described using effective field theories. More recently, both experiments have additionally begun studying triple Higgs boson production to set the first constraints on the Higgs quartic coupling and further explore the space of extended scalar sector models. This talk will present a view of where the field currently stands on multi-Higgs physics (with a few highlights from the speaker's work with ATLAS) and where it is going in the HL-LHC era and beyond.