Amplitude analysis and branching-fraction measurement of $D^{+}_{s}\rightarrow K^{0}_{S}K^{-}\pi^{+}\pi^{+}$

TL;DR

This paper presents the first amplitude analysis of the decay $D^{+}_{s} ightarrow K^{0}_{S}K^{-} ho^{+} ho^{0}$, identifying dominant resonant contributions and providing a precise measurement of its branching fraction using BESIII data.

Contribution

It introduces the first amplitude analysis of this decay mode and improves the measurement of its branching fraction with detailed resonance contributions.

Findings

Dominant decay component is $K^*(892)^+ar{K}^*(892)^0$ with 40.6% fraction.

Branching fraction of $D^{+}_{s} ightarrow K^{0}_{S}K^{-} ho^{+} ho^{0}$ measured as 1.46%.

Amplitude analysis clarifies intermediate resonant structures.

Abstract

Using 6.32 fb$^{-1}$ of $e^+e^-$ collision data collected by the BESIII detector at the center-of-mass energies between 4.178 and 4.226 GeV,~an amplitude analysis of the $D^{+}_{s}\rightarrow K^{0}_{S}K^{-}\pi^{+}\pi^{+}$ decays is performed for the first time to determine the intermediate-resonant contributions. The dominant component is the $D_s^+ \to K^*(892)^+\overline{K}^*(892)^0$ decay with a fraction of $(40.6\pm2.9_{\rm stat}\pm4.9_{\rm sys})$%. Our results of the amplitude analysis are used to obtain a more precise measurement of the branching fraction of the $D^{+}_{s}\rightarrow K^{0}_{S}K^{-}\pi^{+}\pi^{+}$ decay, which is determined to be $(1.46\pm0.05_{\rm stat}\pm0.05_{\rm sys}$)%.