Amplitude analysis and branching-fraction measurement of $$ {D}_s^{+}\to {K}_S^0{\pi}^{+}{\pi}^0 $$

A bstract 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 decay $$ {D}_s^{+}\to {K}_S^0{\pi}^{+}{\pi}^0 D s + ? K S 0 ? determine relative fractions phase differences different intermediate processes, which include {K}_S^0\rho ? (770) + , (1450) K * (892) 0 ? (1410) . With detection efficiency based on results, absolute branching fraction is measured to be \mathrm{\mathcal{B}}\left({D}_s^{+}\to {K}_S^0{\pi}^{+}\pi 0\right)=\left(5.43\pm {0.30}_{\mathrm{stat}}\pm {0.15}_{\mathrm{syst}}\right)\times {10}^{-3} ? = 5.43 ± 0.30 stat 0.15 syst × 10 ? 3