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In this work, we investigate the Higgs-boson production processes$e^{+}e^{-}\rightarrow ZH$, $e^{+}e^{-}\rightarrow \nu_{e}\bar{\nu_{e}}H$ and$e^{+}e^{-}\rightarrow e^{+}e^{-}H$ in the littlest Higgs model with T-parity.We present the production cross sections, the relative corrections and somedistributions of the final states. In the allowed parameter space, we find thatthe relative corrections of the three production channels are negative, therelative correction of the $ZH$ production can reach $-7.5\%$ and the relativecorrections of the $\nu_{e}\bar{\nu_{e}}H$ and $e^{+}e^{-}H$ production canboth reach $-6.5\%$ for $\sqrt{s}=500$ GeV with the scale $f=$694 GeV.

Single Higgs boson production at $e^{+}e^{-}$ colliders in the Littlest Higgs Model with T-parity