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arXiv 2012.06241hep-ex
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Super Tau Charm装置$τ^{-}\to K_{S}π^{-}ν_τ$衰变中$CP$破坏的可行性研究

Feasibility study of $CP$ Violation in $τ^{-}\to K_{S}π^{-}ν_τ$ decays at Super Tau Charm Facility

Haoyu Sang, Xiaodong Shi, Xiaorong Zhou, Xianwei Kang, Jianbei Liu

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摘要：

本文报道了在Super Tau Charm装置~（STCF）上对$τ^{-}\rightarrow K_{S}π^{-} ν_τ$衰变的$CP$破坏进行可行性研究，在质心能量为4.26 GeV时，STCF每年收集的$^{-1}$的预期光度为1 ab，通过测量$τ^{+}\rightarrow K_{S}π^{+}\barν_τ$和$τ^{-}\rightarrow K_{S}π^{-} ν_τ$之间的衰变率差，确定$CP$破坏的统计灵敏度为$9.7\times10^{-4}$量级.分析是使用一个可靠的快速仿真软件包，它可以正确地描述探测器的响应，并灵活地改变响应进一步优化。此外，能量依赖的效率重建$τ^{-}\rightarrow K_{S}π^{-} ν_τ$和预期的$CP$灵敏度是成正比的$1/\sqrt{\mathcal{L}}$在能量范围从4.0到5.0 GeV。$CP$破坏的灵敏度为$3.1\times10^{-4}$量级，$^{-1}$积分亮度为10~ab，相当于STCF在该能区10年的观测数据。

英文摘要：

We report a feasibility study of $CP$ violation of $τ^{-}\rightarrow K_{S}π^{-} ν_τ$ decay at a Super Tau Charm Facility~(STCF).With an expected luminosity of 1~ab$^{-1}$ collected by STCF per year at a center-of-mass energy of 4.26 GeV, the statistical sensitivity for the $CP$ violation is determined to be of order $9.7\times10^{-4}$ by measuring the decay-rate difference between $τ^{+}\rightarrow K_{S}π^{+}\barν_τ$ and $τ^{-}\rightarrow K_{S}π^{-} ν_τ$. The analysis is performed using a reliable fast simulation software package, which can describe the detector responses properly and vary the responses flexibly for further optimization. Moreover, the energy-dependent efficiencies for reconstructing $τ^{-}\rightarrow K_{S}π^{-} ν_τ$ are presented and the expected $CP$ sensitivity is proportional to $1/\sqrt{\mathcal{L}}$ in the energy region from 4.0 to 5.0 GeV. The sensitivity of $CP$ violation is of order $3.1\times10^{-4}$ with 10~ab$^{-1}$ integrated luminosity, which is equivalent to ten years data taking in this energy region at STCF.

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