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The top-Higgs coupling plays an important role in particle physics andcosmology. The precision measurements of this coupling can provide an insightto new physics beyond the Standard Model. In this paper, we propose to useMessage Passing Neural Network (MPNN) to reveal the CP nature of top-Higgsinteraction through semi-leptonic channel $pp \to t(\tob\ell^-\nu_\ell)\bar{t}(\to \bar{b}jj)h(\to b\bar{b})$. Using the teststatistics constructed from the event classification probabilities given by theMPNN, we find that the pure CP-even and CP-odd components can be welldistinguished at the LHC, with at most 300 fb$^{-1}$ experimental data.

Unveiling CP property of top-Higgs coupling with graph neural networks at the LHC