Measurements of strong phase in $D^0\to K\pi$ decay and $y_\mathrm{CP}$ at BESIII
In this paper, I report the preliminary results of the strong phase difference $\cos\delta_{K\pi}$ between the doubly Cabibbo-suppressed process $\overline{D}{}^0\to K^- \pi^+$ and Cabibbo-favored $D^0\to K^- \pi^+$ at BESIII. In addition, the preliminary results of the $D^0$-$\overline{D}{}^0$ mixing parameter $y_\mathrm{CP}$ by analyzing $CP$-tagged semileptonic $D$ decays are presented. These measurements were carried out based on the quantum-correlated technique in studying the process of $D^0\overline{D}{}^0$ pair productions of 2.92 fb$^{-1}$ $e^+e^-$ collision data collected with the BESIII detector at $\sqrt{s}$ = 3.773 GeV.