Higgs boson production and decay at e⁺e⁻ colliders as a probe of the Left-Right twin Higgs model

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In the framework of the Left-Right twin Higgs (LRTH) model, we consider the constrains from the latest search for high-mass dilepton resonances at the LHC and find that the heavy neutral boson Zₕ is excluded with mass below 2.76 TeV. Under these constrains, we study the Higgs-Gauge coupling production processes e⁺e⁻→ ZH, e⁺e⁻→ νₑνₑH and e⁺e⁻→ e⁺e⁻H, top quark Yukawa coupling production process e⁺e⁻→ ttH, Higgs self-couplings production processes e⁺e⁻→ ZHH and e⁺e⁻→ νₑνₑHH at e⁺e⁻ colliders. Besides, we study the major decay modes of the Higgs boson, namely h→ ff(f=b,c,τ), VV*(V=W, Z), gg, γγ. We find that the LRTH effects are sizable so that the Higgs boson processes at e⁺e⁻ collider can be a sensitive probe for the LRTH model.