标题： 数据采集策略用于$ψ(3770)$和$Υ(4S)$分支比测量在$e^+e^-$对撞机上 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$\Upsilon(4S)$状态主要衰变为开放味介子对，而$\psi(3770) \to non-D\bar{D}$和$\Upsilon(4S) \to non-B\bar{B}$的衰变较为稀有，但对阐明重夸克胶子态的内部结构和衰变动力学至关重要。为了在高亮度$e^+e^-$湮灭实验中精确测量$\psi(3770) \to non-D\bar{D}$和$\Upsilon(4S) \to non-B\bar{B}$衰变的分支分数，我们采用了蒙特卡罗模拟和费舍尔信息来评估各种数据获取方案，最终确定了最佳方案。 两种方法的一致结果表明，$\psi(3770) \to non-D\bar{D}$衰变的最佳能量点为 3.769 GeV 和 3.781 GeV，而$\Upsilon(4S) \to non-B\bar{B}$衰变的最佳能量点为 10.574 GeV 和 10.585 GeV。 此外，我们提供了对这些数据样本中得到的分支比测量精度与积分亮度之间关系的分析，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, while the decays of $\psi(3770) \to non-D\bar{D}$ and $\Upsilon(4S) \to non-B\bar{B}$ are rare but crucial for elucidating the inner structure and decay dynamics of heavy quarkonium states. To achieve precise branching fraction measurements for the $\psi(3770) \to non-D\bar{D}$ and $\Upsilon(4S) \to non-B\bar{B}$ 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 $\psi(3770) \to non-D\bar{D}$ decays are 3.769 GeV and 3.781 GeV, while those for $\Upsilon(4S) \to non-B\bar{B}$ decays are 10.574 GeV and 10.585 GeV. In addition, we provide an analysis of the relationship between the integrated luminosity and the precision in branching fraction measurements derived from these data samples, with the branching fraction spanning several orders of magnitude.