Study of the decay ${D}^{+}\to {K}^{*}\left(892{\right)}^{+}{K}_{S}^{0}$ in ${D}^{+}\to {K}^{+}{K}_{S}^{0}{\pi }^{0}$

Based on an ${e}^{+}{e}^{-}$ collision data sample corresponding to an integrated luminosity of $2.93\text{}\text{}{\mathrm{fb}}^{-1}$ collected with the BESIII detector at $\sqrt{s}=3.773\text{}\text{}\mathrm{GeV}$, the first amplitude analysis of the singly Cabibbo-suppressed decay ${D}^{+}\to {K}^{+}{K}_{S}^{0}{\pi }^{0}$ is performed. From the amplitude analysis, the ${K}^{*}\left(892{\right)}^{+}{K}_{S}^{0}$ component is found to be dominant with a fraction of $\left(57.1±2.6±4.2\right)%$, where the first uncertainty is statistical and the second systematic. In combination with the absolute branching fraction $B\left({D}^{+}\to {K}^{+}{K}_{S}^{0}{\pi }^{0}\right)$ measured by BESIII, we obtain $B\left({D}^{+}\to {K}^{*}\left(892{\right)}^{+}{K}_{S}^{0}\right)=\left(8.69±0.40±0.64±0.51\right)×{10}^{-3}$, where the third uncertainty is due to the branching fraction $B\left({D}^{+}\to {K}^{+}{K}_{S}^{0}{\pi }^{0}\right)$. The precision of this result is significantly improved compared to the previous measurement. This result also differs from most of theoretical predictions by about $4\sigma $, which may help to improve the understanding of the dynamics behind.