Higgs boson production and decay at $e^{+}{e}^{-}$ colliders as a probe of the Left-Right twin Higgs model

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 $Z_H$ is excluded with mass below 2.76 TeV. Under these constrains, we study the Higgs-Gauge coupling production processes $e^{+}{e}^{-}\to ZH$, $e^{+}e^{-}\rightarrow \nu_{e}\bar{\nu_{e}}H$and$e^{+}e^{-}\rightarrow e^{+}e^{-}H$, top quark Yukawa coupling production process $e^{+}{e}^{-}\to t\bar{t}H$, Higgs self-couplings production processes $e^{+}{e}^{-}\to ZHH$ and $e^{+}{e}^{-}\to {\nu }_e\overline{{\nu }_e}HH$ at $e^{+}{e}^{-}$ colliders. Besides, we study the major decay modes of the Higgs boson, namely $h\to f\bar{f}$($f=b,c,\tau$), $V{V}^{\ast }(V=W,Z)$, $gg$, $\gamma \gamma$. 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.