Searches for the Anomalous FCNC Top-Higgs Couplings with Polarized Electron Beam at the LHeC

We study the single top and Higgs associated production e(-)p -> v(e)(t) over bar -> v(e)h (q) over bar (h -> b (b) over bar) in the top- Higgs FCNC couplings at the LHeC with the electron beamenergy of E-e = 60GeV and E-e = 120GeV and combination of a 7 TeV and 50 TeV proton beam. With the possibility of e-beam polarization (p(e) = 0, +/- 0.6), we distinct the cut- based method and themultivariate analysis- (MVA-) based method and compare with the current experimental and theoretical limits. It is shown that the branching ratio Br(t -> uh) can be probed to 0.113 (0.093%), 0.071 (0.057%), 0.030 (0.022%), and 0.024 (0.019%) with the cut- based (MVA- based) analysis at (E-p, E-e) = (7 TeV, 60GeV), (E-p, E-e) = (7 TeV, 120GeV), (E-p, E-e) = (50TeV, 60GeV), and (E-p, E-e) = (50 TeV, 120GeV) beam energy and 1 sigma level. With the possibility of e-beampolarization, the expected limits can be probed down to 0.090 (0.073%), 0.056 (0.045%), 0.024 (0.018%), and 0.019 (0.015%), respectively.