Measurements of the absolute branching fractions of hadronic $D$-meson decays involving kaons and pions

By analyzing an electron-positron collision data sample corresponding to 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 obtain for the first time the absolute branching fractions for seven ${D}^{0}$ and ${D}^{+}$ hadronic decay modes and search for the hadronic decay ${D}^{0}\to {K}_{S}^{0}{K}_{S}^{0}{\pi }^{0}$ with much improved sensitivity. The results are $B\left({D}^{0}\to {K}_{S}^{0}{\pi }^{0}{\pi }^{0}{\pi }^{0}\right)=\phantom{\rule{0ex}{0ex}}\left(7.64±0.30±0.29\right)×{10}^{-3}$, $B\left({D}^{0}\to {K}^{-}{\pi }^{+}{\pi }^{0}{\pi }^{0}{\pi }^{0}\right)=\left(9.54±0.30±0.31\right)×{10}^{-3}$, $B\left({D}^{0}\to {K}_{S}^{0}{\pi }^{+}{\pi }^{-}{\pi }^{0}{\pi }^{0}\right)=\phantom{\rule{0ex}{0ex}}\left(12.66±0.45±0.43\right)×{10}^{-3}$, $B\left({D}^{+}\to {K}_{S}^{0}{\pi }^{+}{\pi }^{0}{\pi }^{0}\right)=\left(29.04±0.62±0.87\right)×{10}^{-3}$, $B\left({D}^{+}\to {K}_{S}^{0}{\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^{0}\right)=\phantom{\rule{0ex}{0ex}}\left(15.28±0.57±0.60\right)×{10}^{-3}$, $B\left({D}^{+}\to {K}_{S}^{0}{\pi }^{+}{\pi }^{0}{\pi }^{0}{\pi }^{0}\right)=\left(5.54±0.44±0.32\right)×{10}^{-3}$, $B\left({D}^{+}\to {K}^{-}{\pi }^{+}{\pi }^{+}{\pi }^{0}{\pi }^{0}\right)=\phantom{\rule{0ex}{0ex}}\left(4.95±0.26±0.19\right)×{10}^{-3}$, and $B\left({D}^{0}\to {K}_{S}^{0}{K}_{S}^{0}{\pi }^{0}\right)<1.45×{10}^{-4}$ at the 90% confidence level. Here, the first uncertainties are statistical, and the second ones are systematic. The newly studied decays greatly enrich the knowledge of the $D\to \overline{K}\pi \pi \pi $ and $D\to \overline{K}\pi \pi \pi \pi $ hadronic decays and open a bridge to access more two-body hadronic $D$ decays containing scalar, vector, axial, and tensor mesons in the charm sector.