We study the production of Higgs boson (phi) via the e(-)e(+)-> e(-)e(+)phi process at a future International Linear Collider (ILC) with root S=1 TeV. At this energy the ZZ-fusion rate, as predicted by the standard model, dominates over the associated ZH production rate. Here, we consider a class of theory models based on the effective phi VV (with V=Z, gamma) couplings generated by dimension-6 operators. We also show how to use the kinematical distributions of the final state leptons to discriminate the CP-even and CP-odd Higgs bosons produced at the ILC, when the phi gamma gamma coupling dominates the Higgs boson production rate.
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