\begin{document}$T_{\rm L,R}$\end{document}, are introduced to circumvent the quantum anomaly. Therefore, it is crucial to probe their interactions with standard model particles. However, flavor changing neutral couplings are always difficult to detect directly in current and future experiments. In this paper, we demonstrate how to constrain the flavor changing neutral Yukawa coupling \begin{document}$Tth$\end{document} indirectly, via the di-Higgs production. We consider the simplified model, including a pair of gauge singlet \begin{document}$T_{\rm L,R}$\end{document}. Under the perturbative unitarity and experimental constraints, we select \begin{document}$m_T=400~{\rm{GeV}},s_{\rm L}=0.2$\end{document}, and \begin{document}$m_T= $\end{document}\begin{document}$ 800~{\rm{GeV}},s_{\rm L}=0.1$\end{document} as benchmark points. After the analysis on the amplitude and evaluation of the numerical cross sections, we infer that the present constraints from di-Higgs production have already surpassed the unitarity bound because of the \begin{document}$(y_{\rm L,R}^{tT})^4$\end{document} behavior. For the case of \begin{document}$m_T=400~{\rm{GeV}}$\end{document} and \begin{document}$s_{\rm L}=0.2$\end{document}, \begin{document}${\rm{Re}}y_{\rm L,R}^{tT}$\end{document} and \begin{document}${\rm{Im}}y_{\rm L,R}^{tT}$\end{document} can be bounded optimally in the range \begin{document}$(-0.4, 0.4)$\end{document} at the HL-LHC with \begin{document}$2\sigma$\end{document} CL. For the case of \begin{document}$m_T=800~{\rm{GeV}}$\end{document} and \begin{document}$s_{\rm L}=0.1$\end{document}, \begin{document}${\rm{Re}}y_{\rm L,R}^{tT}$\end{document} and \begin{document}${\rm{Im}}y_{L,R}^{tT}$\end{document} can be bounded optimally in the range \begin{document}$(-0.5, 0.5)$\end{document} at the HL-LHC with \begin{document}$2\sigma$\end{document} CL. The anomalous triple Higgs coupling \begin{document}$\delta_{hhh}$\end{document} can also affect the constraints on \begin{document}$y_{\rm L,R}^{tT}$\end{document}. Finally, we determine that the top quark electric dipole moment can provide stronger \begin{document}$y_{\rm L,R}^{tT}$\end{document} bounds in the off-axis regions for some scenarios."> Di-Higgs production as a probe of flavor changing neutral Yukawa couplings -
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