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op quark with its large Yukawa coupling is crucially important to explore TeV scale physics. Therefore, the study of Higgs-top sector is highly motivated to look for any deviations from the standard model predictions. The most general lowest order Lagrangian for the Higgs-top Yukawa coupling has scalar (K) and pseudoscalar (K) components. Currently, these couplings are constrained indirectly using the present experimental limits on the Higgs-y-y and Higgs-gluon-gluon couplings. Furthermore, stronger bounds on K and K are obtained using the limits on the electric dipole moments (EDM). In this work, we propose an asymmetry-like observable O in tt-H production at the LHC to probe the Higgs-top coupling and to distinguish between the scalar and pseudoscalar components. We also show that the presence of the pseudoscalar component in the Higgs-top Yukawa coupling leads to a sizeable value for the top quark EDM. It is shown that a limit of 10-19 e.cm, which is achievable by the future e-e+ collider, allows us to exclude a significant region in the (K,K) plane.
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