Amplitude analysis and branching fraction measurement of $D_{s}^{+} \to K^-K^+π^+π^+π^-$
Using $e^{+}e^{-}$ annihilation data corresponding to a total integrated luminosity of $6.32$ fb$^{-1}$ collected at the center-of-mass energies between 4.178 and 4.226 GeV with the BESIII detector, we perform an amplitude analysis of the decay $D^+_s \to K^-K^+π^+π^+π^-$ and determine the relative fractions and phases of different intermediate processes. Absolute branching fraction of $D^+_s\to K^-K^+π^+π^+π^-$ decay is measured to be ($6.60\pm0.47_{\rm stat.}\pm0.35_{\rm syst.})\times 10^{-3}$. The dominant intermediate process is $D_{s}^{+} \to a_1(1260)^+ϕ, ϕ\to K^-K^+, a_1(1260)^+\to ρπ^+, ρ\toπ^+π^-$, with a branching fraction of $(5.16\pm0.41_{\rm stat.}\pm0.27_{\rm syst.})\times 10^{-3}$.