Triple Higgs Boson Self-Coupling in a γγ Collider

We analyzed the double production and the triple self-coupling of the standard model Higgs boson at future γγ collider energies, with the reactions γγ → t t-bar HH. We evaluated the total cross section for t t-bar HH and calculated the total number of events considering the complete set of Feynman diagrams at tree-level and for different values of the triple coupling κλHHH. The numerical computation was done for the energy which is expected to be available at a possible Future Linear γγ Collider with a center-of-mass energy 500-3000 GeV and luminosities of 1000 and 5000 fb-1. We found that the number of events for the process γγ → t t-bar HH taking into account the decay products of both t and H, is enough to obtain relevant information about the triple Higgs boson self-coupling.