Updated model-independent measurement of the strong-phase differences between D

The strong-phase differences between and decays are one of the most important inputs in measuring the $\textit{CP}$ violating angle $\textit{γ}$ via $\textit{B}$ → $\textit{DK}$ decays. They also play a key role in studies of charm mixing and indirect $\textit{CP}$ violation. In this paper, the strong-phase differences are determined in a model-independent way with quantum-correlated $\textit{D}$ - decays from 7.93 fb of $\textit{e}$ $\textit{e}$ annihilation data at = 3$\textit{.}$773 GeV by the BESIII experiment. These results are the most precise to date and are expected to significantly reduce associated uncertainties in determining the $\textit{CP}$ violating angle $\textit{γ}$ and related charm mixing parameters.