Observation of ${D}^{0\left(+\right)}\to {K}_{S}^{0}{\pi }^{0\left(+\right)}\omega $ and improved measurement of ${D}^{0}\to {K}^{-}{\pi }^{+}\omega $

By analyzing an ${e}^{+}{e}^{-}$ annihilation data sample with an integrated luminosity of $2.93\text{}\text{}{\mathrm{fb}}^{-1}$ 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 $\left(3.392±0.04{4}_{\mathrm{stat}}±0.08{5}_{\mathrm{syst}}\right)%$, $\left(0.848±0.04{6}_{\mathrm{stat}}±0.03{1}_{\mathrm{syst}}\right)%$, and $\left(0.707±0.04{1}_{\mathrm{stat}}±0.02{9}_{\mathrm{syst}}\right)%$, 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.