Study of $\varphi \to K\bar{K}$ and $K_S^0-K_L^0$ Asymmetry in the Amplitude Analysis of $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$ Decays

Abstract

Using $e^{+}{e}^{-}$ annihilation data corresponding to a total integrated luminosity of 7.33 $\mathrm{f}{\mathrm{b}}^{-1}$ collected at center-of-mass energies between 4.128 and 4.226~GeV with the BESIII detector, we provide the first amplitude analysis and absolute branching fraction measurement of the hadronic decay $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$. The branching fraction of $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$ is determined to be $(1.86\pm 0.06_{\mathrm{stat}}\pm 0.03_{\mathrm{syst}})\%$. Combining the $\mathcal{B}[D_s^{+}\to \varphi (\to K_S^0{K}_L^0){\pi }^{+}]$ obtained in this work and the world average of $\mathcal{B}[D_s^{+}\to \varphi (\to K^{+}{K}^{-}){\pi }^{+}]$, we measure the relative branching fraction $\mathcal{B}(\varphi \to K_S^0{K}_L^0)/\mathcal{B}(\varphi \to K^{+}{K}^{-})$=($0.593\pm 0.023_{\mathrm{stat}}\pm 0.014_{\mathrm{syst}}\pm 0.016_{\varphi \pi }$), where the third error is due to the uncertainty of the $\mathcal{B}(D_s^{+}\to \varphi {\pi }^{+},\varphi \to K^{+}{K}^{-})$. Our result deviates from the Particle Data Group value by more than 3$\sigma$. Furthermore, the asymmetry of the branching fractions of $D_s^{+}\to K_S^0{K}^{\ast }(892{)}^{+}$ and $D_s^{+}\to K_L^0{K}^{\ast }(892{)}^{+}$, $\frac{\mathcal{B}[D_s^{+}\to K_S^0{K}^{\ast }(892{)}^{+}]-\mathcal{B}[D_s^{+}\to K_L^0{K}^{\ast }(892{)}^{+}]}{\mathcal{B}[D_s^{+}\to K_S^0{K}^{\ast }(892{)}^{+}]+\mathcal{B}[D_s^{+}\to K_L^0{K}^{\ast }(892{)}^{+}]}$, is determined to be $(-14.5\pm 5.1_{\mathrm{stat}}\pm 1.8_{\mathrm{syst}})\%$.

11 pages, 4 figures

References in corpus (17)

• Future Physics Programme of BESIII
• Pattern of Global Spin Alignment of $\varphi$ and $K^{\ast 0}$ mesons in Heavy-Ion Collisions
• Reweighting with Boosted Decision Trees
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• Amplitude analysis and branching fraction measurement of $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$
• Observation of $a_0(1710{)}^{+}\to K_S^0{K}^{+}$ in study of the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay
• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Strong phases, asymmetries, and SU(3) symmetry breaking in D --> K pi decays
• Interference between doubly-Cabibbo-suppressed and Cabibbo-favored amplitudes in $D^0\to K_S({\pi }^0,\eta ,{\eta }^{\prime })$ decays
• Amplitude analysis and branching-fraction measurement of \boldmath $D_s^{+}\to K_S^0{\pi }^{+}{\pi }^0$
• Search for the decay $D_s^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• Observation of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ in the amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}\eta$
• Amplitude analysis and branching-fraction measurement of $D_s^{+}\to K_S^0{K}^{-}{\pi }^{+}{\pi }^{+}$
• Structure-dependent radiative corrections to phi -> K^+K^-/K_LK_S decays
• Measurements of Absolute Branching Fractions of $D^0\to K_L^0\varphi$, $K_L^0\eta$, $K_L^0\omega$, and $K_L^0{\eta }^{\prime }$
• Study of $D_s^{+}\to f_0(980){\rho }^{+}$ and $\varphi {\pi }^{+}$ decays through $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$