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 $\mathrm{f}{\mathrm{b}}^{-1}$ 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 lineshape, followed by an amplitude analysis of our very pure high-statistics sample. The amplitude analysis provides an accurate determination of the detection efficiency allowing us to measure the branching fraction ${\cal B}(D_{s}^{+} \rightarrow K^{+}K^{-}\pi^{+}) = (5.47\pm0.08_{{\rm stat}}\pm0.13_{{\rm sys}})%$.