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

TL;DR

This paper performs an amplitude analysis of the decay $D_s^+ o K^-K^+ ho o K^-K^+ ho$ and measures its branching fraction using BESIII data, revealing the dominant intermediate process and quantifying the decay probability.

Contribution

It provides the first detailed amplitude analysis and absolute branching fraction measurement of the $D_s^+ o K^-K^+ ho o K^-K^+ ho$ decay, identifying the main intermediate process.

Findings

Absolute branching fraction measured as (6.60 ± 0.47 (stat) ± 0.35 (syst)) × 10^{-3}.

Dominant process is $D_s^+ o a_1(1260)^+ o ho o ho o ho$ with a branching fraction of (5.16 ± 0.41 (stat) ± 0.27 (syst)) × 10^{-3}.

Amplitude analysis determines relative fractions and phases of intermediate states.

Abstract

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 $D^+_s \to K^-K^+\pi^+\pi^+\pi^-$ and determine the relative fractions and phases of different intermediate processes. Absolute branching fraction of $D^+_s\to K^-K^+\pi^+\pi^+\pi^-$ decay is measured to be ($6.60\pm0.47_{\rm stat.}\pm0.35_{\rm syst.})\times 10^{-3}$. The dominant intermediate process is $D_{s}^{+} \to a_1(1260)^+\phi, \phi\to K^-K^+, a_1(1260)^+\to \rho\pi^+, \rho\to\pi^+\pi^-$, with a branching fraction of $(5.16\pm0.41_{\rm stat.}\pm0.27_{\rm syst.})\times 10^{-3}$.