By analyzing an $e^{+}{e}^{-}$ annihilation data sample with an integrated luminosity of $2.93{\mathrm{fb}}^{-1}$ taken at the center-of-mass energy of 3.773 GeV with the BESIII detector, we determine the absolute branching fractions of the hadronic decays $D^0\to K^{-}{\pi }^{+}\omega$, $D^0\to K_S^0{\pi }^0\omega$, and $D^{+}\to K_S^0{\pi }^{+}\omega$ to be $(3.392\pm 0.044_{\mathrm{stat}}\pm 0.085_{\mathrm{syst}})\%$, $(0.848\pm 0.046_{\mathrm{stat}}\pm 0.031_{\mathrm{syst}})\%$, and $(0.707\pm 0.041_{\mathrm{stat}}\pm 0.029_{\mathrm{syst}})\%$, respectively. The accuracy of the branching fraction measurement of the decay $D^0\to K^{-}{\pi }^{+}\omega$ is improved by a factor of seven compared to the world average value. The $D^0\to K_S^0{\pi }^0\omega$ and $D^{+}\to K_S^0{\pi }^{+}\omega$ decays are observed for the first time.

• Received 7 October 2021
• Accepted 24 January 2022

DOI:https://doi.org/10.1103/PhysRevD.105.032009

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Published by the American Physical Society