Measurements of the absolute branching fractions of ${D}^{0\left(+\right)}\to K\overline{K}\pi \pi $ decays

Based on ${e}^{+}{e}^{-}$ collision data sample corresponding to an integrated luminosity of $2.93\text{}\text{}{\mathrm{fb}}^{-1}$ taken at a center-of-mass energy of 3.773 GeV by the BESIII detector, we report the measurements of the absolute branching fractions of ${D}^{0}\to {K}^{+}{K}^{-}{\pi }^{0}{\pi }^{0}$, ${D}^{0}\to {K}_{S}^{0}{K}_{S}^{0}{\pi }^{+}{\pi }^{-}$, ${D}^{0}\to {K}_{S}^{0}{K}^{-}{\pi }^{+}{\pi }^{0}$, ${D}^{0}\to {K}_{S}^{0}{K}^{+}{\pi }^{-}{\pi }^{0}$, ${D}^{+}\to {K}^{+}{K}^{-}{\pi }^{+}{\pi }^{0}$, ${D}^{+}\to {K}_{S}^{0}{K}^{+}{\pi }^{0}{\pi }^{0}$, ${D}^{+}\to {K}_{S}^{0}{K}^{-}{\pi }^{+}{\pi }^{+}$, ${D}^{+}\to {K}_{S}^{0}{K}^{+}{\pi }^{+}{\pi }^{-}$, and ${D}^{+}\to {K}_{S}^{0}{K}_{S}^{0}{\pi }^{+}{\pi }^{0}$. The decays ${D}^{0}\to {K}^{+}{K}^{-}{\pi }^{0}{\pi }^{0}$, ${D}^{0}\to {K}_{S}^{0}{K}^{-}{\pi }^{+}{\pi }^{0}$, ${D}^{0}\to {K}_{S}^{0}{K}^{+}{\pi }^{-}{\pi }^{0}$, ${D}^{+}\to {K}_{S}^{0}{K}_{S}^{0}{\pi }^{+}{\pi }^{0}$, and ${D}^{+}\to {K}_{S}^{0}{K}^{+}{\pi }^{0}{\pi }^{0}$ are observed for the first time. The branching fractions of the decays ${D}^{0}\to {K}_{S}^{0}{K}_{S}^{0}{\pi }^{+}{\pi }^{-}$, ${D}^{+}\to {K}^{+}{K}^{-}{\pi }^{+}{\pi }^{0}$, ${D}^{+}\to {K}_{S}^{0}{K}^{-}{\pi }^{+}{\pi }^{+}$, and ${D}^{+}\to {K}_{S}^{0}{K}^{+}{\pi }^{+}{\pi }^{-}$ are measured with improved precision compared to the world-average values.