Amplitude analysis and branching fraction measurement of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$

Using 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, an amplitude analysis of the decay $D_{s}^{+} \to \pi^{+}\pi^{0}\pi^{0}$ is performed, and the relative fractions and phases of different intermediate processes are determined. The absolute branching fraction of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$ is measured to be $(0.50\pm {0.04}_{\text{stat}}\pm {0.02}_{\text{syst}})\mathrm{\%}$. The absolute branching fraction of the intermediate process $D_{s}^{+} \to f_0(980)\pi^{+}, f_0(980)\to\pi^{0}\pi^{0}$isdeterminedtobe$(0.21\pm 0.03_{$\text{stat}$}\pm 0.03_{$\text{syst}$})%$.