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Abstract
In the two-Higgs-doublet model the complete nonstandard Higgs boson helicity amplitudes for the Higgs boson pair production process $\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\rightarrow}{H}_{0}{H}_{0}$ is calculated and explicit formulas for nonstandard Higgs boson contributions to the helicity amplitudes are given. It is shown that the cross section is in the range of 0.03-30 pb at $\sqrt{s}=1$ TeV, for Higgs boson masses of $350<{M}_{{H}_{0}}<490$ GeV in monochromatic $\ensuremath{\gamma}\ensuremath{\gamma}$ collisions. The angular distribution for Higgs pair production is strongly peaked in the forward and backward directions. In particular the angular dependence for Higgs pair production is due to the nonstandard Higgs boson getting larger where the box diagrams constitute the dominant part of the differential cross section. For studying heavy Higgs pair production the use of circularly polarized photon beams with equal helicities is advantageous.
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