Abstract

The first amplitude analysis of the decay $D_s^+\to K^-K^+\pi^+\pi^0$ is presented using the data samples, corresponding to an integrated luminosity of 6.32 fb$^{-1}$, collected with the BESIII detector at $e^+e^-$ center-of-mass energies between 4.178 and 4.226 GeV. More than 3000 events selected with a purity of 97.5\% are used to perform the amplitude analysis, and nine components are found necessary to describe the data. Relative fractions and phases of the intermediate decays are determined. With the detection efficiency estimated by the results of the amplitude analysis, the branching fraction of $D_s^+\to K^-K^+\pi^+\pi^0$ decay is measured to be $(5.42\pm0.10_{\rm stat.}\pm0.17_{\rm syst.})\%$.

Highlights

  • Accurate measurement of Dþs decays are important for the studies of other decay processes that are dominated by final states involving Dþs mesons, for those of B0s decays [1]

  • A phase-space (PHSP) Monte Carlo (MC) sample is produced with the Dþs meson decaying to K−Kþπþπ0 generated with a uniform distribution and the D−s meson decaying to the tag modes

  • Events in which the invariant mass of the higher-energy photon from the signal side combined with a photon from the DÃs → Dsγ decay is within 1⁄20.12; 0.15Š GeV=c2 and with jdMrecombinedj < jdMj are rejected, where dM is the mass difference between the signal Dþs meson and the tagged D−s meson and dMrecombined is the corresponding mass difference with the signal π0 replaced by the recombined π0

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Summary

INTRODUCTION

Accurate measurement of Dþs decays are important for the studies of other decay processes that are dominated by final states involving Dþs mesons, for those of B0s decays [1]. A recent study [18] points out that the measured values of the ratio of K1ð1270Þ decay (RK1ð1270Þ 1⁄4 BBððKK11ðð11227700ÞÞ→→KKÃρπÞÞ), which are listed, are inconsistent between different experiments [19,20,21,22,23,24,25] They are expected to be identical under the narrow width approximation for the K1ð1270Þ meson and assuming CP conservation in strong decays [18]. The first amplitude analysis of the decay Dþs → K−Kþπþπ0 is presented using data samples of 6.32 fb−1 collected with the BESIII detector at centerof-mass energies between 4.178 and 4.226 GeV.

DETECTOR AND DATASETS
EVENT SELECTION
Background
AMPLITUDE ANALYSIS
Likelihood function construction
Spin factors
Blatt-Weisskopf barrier factors
Propagators
Fit fractions and statistical uncertainty
Results of the amplitude analysis
Goodness of fit
Systematic uncertainties
XIII XIV
BRANCHING FRACTION MEASUREMENT
Event selection
Systematic uncertainties in the BF
CONCLUSION
Findings
Methods
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