\begin{document}$ D_{s}^{(*)} $\end{document}, \begin{document}$ D^{(*)} $\end{document}, and \begin{document}$ \phi $\end{document}. The lattice size is \begin{document}$ 48^3\times96 $\end{document}, which corresponds to a spatial extension of \begin{document}$ \sim5.5 $\end{document} fm, with a lattice spacing of \begin{document}$ a\approx 0.114 $\end{document} fm. For the valence light, strange, and charm quarks, we use overlap fermions at several mass points close to their physical values. Our results at the physical point are \begin{document}$ f_D = 213(5) $\end{document} MeV, \begin{document}$ f_{D_s} = 249(7) $\end{document} MeV, \begin{document}$ f_{D^*} = 234(6) $\end{document} MeV, \begin{document}$ f_{D_s^*} = 274(7) $\end{document} MeV, and \begin{document}$ f_\phi = 241(9) $\end{document} MeV. The couplings of \begin{document}$ D^* $\end{document} and \begin{document}$ D_s^* $\end{document} to the tensor current (\begin{document}$ f_V^T $\end{document}) can be derived from ratios \begin{document}$ f_{D^*}^T/f_{D^*} = 0.91(4) $\end{document} and \begin{document}$ f_{D_s^*}^T/f_{D_s^*} = 0.92(4) $\end{document}, respectively, which are the first lattice quantum chromodynamics (QCD) results. We also obtain ratios \begin{document}$ f_{D^*}/f_D = 1.10(3) $\end{document} and \begin{document}$ f_{D_s^*}/f_{D_s} = 1.10(4) $\end{document}, which reflect the size of heavy quark symmetry breaking in charmed mesons. Ratios \begin{document}$ f_{D_s}/f_{D} = 1.16(3) $\end{document} and \begin{document}$ f_{D_s^*}/f_{D^*} = 1.17(3) $\end{document} can be taken as a measure of SU(3) flavor symmetry breaking."> Charmed and <i>ϕ</i> meson decay constants from 2+1-flavor lattice QCD -
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