Amplitude analysis and branching-fraction measurement of \boldmath $D_{s}^{+} \to K^0_{S}π^{+}π^{0}$

Abstract

Utilizing a data set corresponding to an integrated luminosity of 6.32~$\rm fb^{-1}$, recorded by the BESIII detector at center-of-mass energies between 4.178 and 4.226~GeV, we perform an amplitude analysis of the decay $D_{s}^{+} \to K_{S}^{0}π^{+}π^{0}$ and determine the relative fractions and phase differences of different intermediate processes, which include $K_{S}^{0}ρ(770)^{+}$, $K_{S}^{0}ρ(1450)^{+}$, $K^{*}(892)^{0}π^{+}$, $K^{*}(892)^{+}π^{0}$, and $K^{*}(1410)^{0}π^{+}$. Using a double-tag technique, and making an efficiency correction that relies on our knowledge of the phase-space distribution of the decays coming from the amplitude analysis, the absolute branching fraction is measured to be $\mathcal{B}(D_{s}^{+} \to K_{S}^{0}π^{+}π^{0})=(5.43\pm0.30_{\text{stat}}\pm 0.15_{\text{syst}})\times 10^{-3}$.