Associated production of single top and Higgs at the LHC in the littlest Higgs model with T-parity

In the littlest Higgs model with T-parity (LHT), we study the $t$-channel single top production in association with a Higgs boson at 8 and 14 TeV LHC. We find that the cross section can be enhanced obviously in this model compared to the Standard Model. By performing a simple parton-level simulation through $pp\to t(\to {\mathrm{\ell }}^{+}\nu b)h(\to b\bar{b})j$ at 14 TeV LHC, we find that the observability of the signal is promising in the favorable parameter space.