标题： 数据采集策略用于$ψ(3770)$和$Υ(4S)$分支比在$e^+e^-$对撞机上的测量 显示英文标题

标题： Data taking strategy for $ψ(3770)$ and $Υ(4S)$ branching fraction measurements at $e^+e^-$ colliders

摘要： $\psi(3770)$和$\Upsilon(4S)$状态主要衰变成开放味介子对，而$\psi(3770) \to \mbox{\text{non}-}D\bar{D}$和$\Upsilon(4S) \to \mbox{\text{non}-}B\bar{B}$的衰变较为稀少但对阐明重夸克偶素态的内部结构和衰变动力学至关重要。 为了在高亮度$e^+e^-$湮灭实验中对$\psi(3770) \to \mbox{\text{non}-}D\bar{D}$和$\Upsilon(4S) \to \mbox{\text{non}-}B\bar{B}$衰变进行精确的分支分数测量，我们采用了蒙特卡罗模拟和费舍尔信息来评估各种数据采集方案，最终确定了最佳方案。 两种方法的一致结果表明，研究$\psi(3770) \to \mbox{\text{non}-}D\bar{D}$衰变的最佳能量点是$3.769~\gev$和$3.781~\gev$，而研究$\Upsilon(4S) \to \mbox{\text{non}-}B\bar{B}$衰变的最佳能量点是$10.574~\gev$和$10.585~\gev$。 此外，我们研究了分支比测量精度与积分亮度的依赖关系，其中分支比跨越多个数量级。 显示英文摘要

摘要： The $\psi(3770)$ and $\Upsilon(4S)$ states predominantly decay into open-flavor meson pairs, whereas the decays of $\psi(3770) \to \mbox{\text{non}-}D\bar{D}$ and $\Upsilon(4S) \to \mbox{\text{non}-}B\bar{B}$ are rare but crucial for elucidating the inner structure and decay dynamics of heavy quarkonium states. To achieve precise branching fraction measurements for $\psi(3770) \to \mbox{\text{non}-}D\bar{D}$ and $\Upsilon(4S) \to \mbox{\text{non}-}B\bar{B}$ decays at the high luminosity $e^+e^-$ annihilation experiments, we employed Monte Carlo simulations and Fisher information to evaluate various data taking scenarios, ultimately determining the optimal scheme. The consistent results of both methodologies indicate that the optimal energy points for studies of $\psi(3770) \to \mbox{\text{non}-}D\bar{D}$ decays are $3.769~\gev$ and $3.781~\gev$, whereas those for $\Upsilon(4S) \to \mbox{\text{non}-}B\bar{B}$ decays are $10.574~\gev$ and $10.585~\gev$. In addition, we studied the dependence of the precision in branching fraction measurements on the integrated luminosity, with the branching fractions spanning several orders of magnitude.