Amplitude analysis and branching fraction measurement of $D_{s}^{+} \rightarrow K^{+}K^{-}\pi^{+}$

TL;DR

This paper presents an amplitude analysis and precise measurement of the branching fraction for the decay $D_{s}^{+} ightarrow K^{+}K^{-}\pi^{+}$ using BESIII data, including a model-independent partial wave analysis.

Contribution

It introduces a model-independent partial wave analysis for the $K^{+}K^{-}$ S-wave lineshape and provides an accurate branching fraction measurement with high-statistics data.

Findings

Branching fraction measured as (5.47 ± 0.08 (stat) ± 0.13 (sys))%.

Performed a model-independent partial wave analysis of the $K^{+}K^{-}$ system.

Achieved an accurate determination of detection efficiency.

Abstract

We report an amplitude analysis and branching fraction measurement of $D_{s}^{+} \rightarrow K^{+}K^{-}\pi^{+}$ decay using a data sample of 3.19 $\rm fb^{-1}$ 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 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 ${\cal B}(D_{s}^{+} \rightarrow K^{+}K^{-}\pi^{+}) = (5.47\pm0.08_{{\rm stat}}\pm0.13_{{\rm sys}})\%$.