Amplitude analysis and branching fraction measurement of the decay $$ {D}_s^{+} $$ → π+π0π0

Using a data set corresponding to an integrated luminosity of 6.32 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 $$ {D}_s^{+} $$ D s + → π+π0π0 is performed, and the relative fractions and phases of different intermediate processes are determined. The absolute branching fraction of the decay $$ {D}_s^{+} $$ D s + → π+π0π0 is measured to be (0.50 ± 0.04stat ± 0.02syst)%. The absolute branching fraction of the intermediate process $$ {D}_s^{+} $$ D s + → f0(980)π+, f0(980) → π0π0 is determined to be (0.28 ± 0.04stat ± 0.04syst)%.