Pair production of neutral Higgs bosons from the left-right twin Higgs model at the ILC and LHC

In the framework of the left-right twin Higgs model, we study pair production of the neutral Higgs bosons at the International Linear Collider ($ILC$) and the $CERN$ $LHC$. We find that the production cross section of the process $e^{+}{e}^{-}\to {\varphi }^{0}h$ are at the level of several tens $fb$ at the $ILC$, the production cross section of the ${\varphi }^0{\varphi }^0$ pair and ${\varphi }^{0}h$ pair are at the level of several hundreds $fb$ at the $LHC$. As long as the neutral Higgs boson ${\varphi }^0$ is not too heavy, we conclude that its pair production might be used to test for the left-right twin Higgs model at the $LHC$ experiment or in the future $ILC$ experiment.