Measurements of the absolute branching fractions and $CP$ asymmetries for ${D}^{+}\to {K}_{S,L}^{0}{K}^{+}\left({\pi }^{0}\right)$

Using ${e}^{+}{e}^{-}$ collision data corresponding to an integrated luminosity of $2.93\text{}\text{}{\mathrm{fb}}^{-1}$ taken at a center-of-mass energy of 3.773 GeV with the BESIII detector, we determine the absolute branching fractions $B\left({D}^{+}\to {K}_{S}^{0}{K}^{+}\right)=\left(3.02±0.09±0.08\right)×{10}^{-3}$, $B\left({D}^{+}\to {K}_{S}^{0}{K}^{+}{\pi }^{0}\right)=\left(5.07±0.19±0.23\right)×{10}^{-3}$, $B\left({D}^{+}\to {K}_{L}^{0}{K}^{+}\right)=\left(3.21±0.11±0.11\right)×{10}^{-3}$, and $B\left({D}^{+}\to {K}_{L}^{0}{K}^{+}{\pi }^{0}\right)=\left(5.24±0.22±0.22\right)×{10}^{-3}$, where the first and second uncertainties are statistical and systematic, respectively. The branching fraction $B\left({D}^{+}\to {K}_{S}^{0}{K}^{+}\right)$ is consistent with the world average value and the other three branching fractions are measured for the first time. We also measure the $CP$ asymmetries for the four decays and do not find a significant deviation from zero.