Triple Higgs boson production at a 100 TeV proton-proton collider

We consider triple higgs boson production at a future 100 tev proton-proton collider. we perform a survey of viable final states and compare and contrast triple production to higgs boson pair production. focussing on the $$ hhhto left(boverline{b}right)left(boverline{b}right)left(gamma gamma right) $$ final state, we construct a baseline analysis for the standard model scenario and simple deformations, demonstrating that the process merits investigation in the high-luminosity phase of the future collider as a new probe of the self-coupling sector of the higgs boson.