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We study Higgs boson pair production processes at future hadron and leptoncolliders including the photon collision option in several new physics models;i.e., the two-Higgs-doublet model, the scalar leptoquark model, the sequentialfourth generation fermion model and the vector-like quark model. Cross sectionsfor these processes can deviate significantly from the standard modelpredictions due to the one-loop correction to the triple Higgs boson couplingconstant. For the one-loop induced processes such as $gg \to hh$ and$\gamma\gamma\to hh$, where $h$ is the (lightest) Higgs boson and $g$ and$\gamma$ respectively represent a gluon and a photon, the cross sections canalso be affected by new physics particles via additional one-loop diagrams. Inthe two-Higgs-doublet model and scalar leptoquark models, cross sections of$e^+e^-\to hhZ$ and $\gamma\gamma\to hh$ can be enhanced due to thenon-decoupling effect in the one-loop corrections to the triple Higgs bosoncoupling constant. In the sequential fourth generation fermion model, the crosssection for $gg\to hh$ becomes very large because of the loop effect of thefermions. In the vector-like quark model, effects are small because the theoryhas decoupling property. Measurements of the Higgs boson pair productionprocesses can be useful to explore new physics through the determination of theHiggs potential.

Higgs boson pair production in new physics models at hadron, lepton, and photon colliders