The new vector-like top partners with charge $2/3$ are a typical feature of many new physics models beyond the Standard Model (SM). We propose a search strategy for single production of top partners $T$ focusing on both the $T\to Wb$ and $T\to th$ decay channels at the Large Hadron Electron Collider (LHeC). Our analysis is based on a simplified model in which the top partner is an $SU(2)$ singlet, with couplings only to the third generation of SM quarks. We study the observability of the single $T$ through the processes $e^{ +}p \to T(\to bW^{ +})\bar{ \nu}_{ e}\to b\ell^{ +}+ \not E_T^{ miss}$ and $e^{ +}p \to T(\to th)\bar{ \nu}_{ e}\to t(\to jj'b)h(\to b\bar{ b}) \not E_T^{ miss}$ at the LHeC with the proposed 140 GeV electron beam (with $80\%$ polarization) and 7 TeV proton beam. For three typical $T$-quark masses (800, 900 and 1000 GeV), the $3\sigma$ exclusion limits on the $TWb$ coupling are respectively presented for various values of the integrated luminosity.
Categories: hep-ph