Single-top and Higgs associated production via the $tH\overline{b}$ and tHW⁻ channels at the LHC in the LHT model

Motivated by the recent Large Hadron Collider (LHC) hints of a Higgs boson around 125 GeV, we investigate the processes $pp\to tH\overline{b}$ and $pp\to tH{W}^{-}$ at the 8 TeV and 14 TeV LHC in the framework of the littlest Higgs model with T-parity (LHT). Under the current constraints, we find that the relative corrections of $pp\to tH\overline{b}(pp\to tH{W}^{-})$ at the 8 TeV and 14 TeV LHC can, respectively, reach $-25\%(-25\%)$ and $-23\%(-20\%)$ at $2\sigma$ level. These processes have the potential to act as probes for the LHT model at the future LHC. (letter)