Single Higgs boson production at the ILC in the left-right twin Higgs model

In this work, we analyze three dominant single SM-like Higgs boson production processes in the left-right twin Higgs model (LRTHM): the Higgs-strahlung (HS) process $e^{+}{e}^{-}\to Zh$, the vector boson fusion (VBF) process $e^{+}{e}^{-}\to \nu \overline{\nu }h$ and the associate production with top pair process $e^{+}{e}^{-}\to t\overline{t}h$ for three possible energy stages of the International Linear Collider (ILC), and compared our results with the expected experimental accuracies for various accessible Higgs decay channels. The following observations have been obtained. (1) In the reasonable parameter space, the LRTHM can generate moderate contributions to theses processes with polarized beams. (2) Among various Higgs boson decay channels, the $b\overline{b}$ signal strength is the most sensitive to the LRTHM due to the high expected precision. For the $t\overline{t}h$ production process, the absolute value of ${\mu }_{b\overline{b}}$ may deviate from the SM prediction by over 8.7% and thus may be detectable at the proposed ILC with $\sqrt{s}=1$ TeV. (3) ILC experiments may give a strong limit on the scale parameter f: for the case of ILC-250 GeV, for example, the lower limit for parameter f of the LRTHM is f > 1150 GeV at the $2\sigma$ level. (paper)