Amplitude analysis and branching-fraction measurement of ${D}_s^{+}\to {K}_S^0{\pi}^{+}{\pi}^0$
By using 6.32 fb -1 of data collected with the BESIII detector at center-of-mass energies between 4.178 and 4.226 GeV, we perform an amplitude analysis of the decay $D^+_s$→$K^0_Sπ^+π^0$ and determine the relative fractions and phase differences of different intermediate processes, which include $K^0_Sρ$(770) + ,$K^0_Sρ$(1450) + , $K^*$(892)$^0π^+$, $K^*$(892)$^+π^0$, and $K^*$(1410)$^0π^+$. With the detection efficiency based on the amplitude analysis results, the absolute branching fraction is measured to be $\mathcal{B}$($D^+_s$→$K^0_Sπ^+π^0$)=(5.43±0.30 stat ±0.15 syst )×10 -3 .