Amplitude analysis and branching fraction measurement of ${D}_{s}^{+}\to {K}^{+}{K}^{-}{\pi }^{+}$

We report an amplitude analysis and branching fraction measurement of ${D}_{s}^{+}\to {K}^{+}{K}^{-}{\pi }^{+}$ decay using a data sample of $3.19\text{}\text{}{\mathrm{fb}}^{-1}$ recorded with BESIII detector at a center-of-mass energy of 4.178 GeV. We perform a model-independent partial wave analysis in the low ${K}^{+}{K}^{-}$ mass region to determine the ${K}^{+}{K}^{-}$ S-wave line shape, followed by an amplitude analysis of our very pure high-statistics sample. With the detection efficiency based on the amplitude analysis results, the absolute branching fraction is measured to be $B\left({D}_{s}^{+}\to {K}^{+}{K}^{-}{\pi }^{+}\right)=\left(5.47±0.0{8}_{\mathrm{stat}}±0.1{3}_{\mathrm{sys}}\right)%$.