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In this paper, we put constraints on anomalous $\mathcal{CP}$-violatingtop-Higgs couplings using the currently available Higgs data and explore theprospect of measuring these couplings at 240 GeV TLEP. We find that the$\mathcal{CP}$-violating phase $\xi$ is currently limited in the range $|\xi|<0.6\pi$ at 95\% C.L. and may be further constrained to $|\xi| <0.07\pi$ atTLEP. Under this consideration, we further investigate the observability of thescalar ($\xi =0$), pseudoscalar ($\xi =0.5\pi$) and mixed ($\xi =0.25\pi$)top-Higgs interactions through the channel $pp \to t(\to \ell^+\nu_\ell b)h(\tob\overline{b})j$. We find that it is most promising to observe purepseudoscalar interactions with $y_t=y_t^{SM}$, although this will bechallenging due to a low signal to background ratio. We also find that theanomalous top-Higgs couplings can lead to sizeable differences in leptonforward-backward asymmetries and can be distinguished by measuring the leptonangular distributions from polarised top quarks at 14 TeV LHC.

Anomalous Top-Higgs Couplings and Top Polarisation in Single Top and Higgs Associated Production at the LHC