基于Kalman滤波的轻子味破坏实验跟踪器研究
Kalman filter based tracker study for lepton flavor violation experiments
摘要：
提出了一种用于轻子味破坏实验（$μ\to e$转换、$μ\to e + γ$、$μ\to 3e $）的跟踪探测器，该探测器由相同的腔室组成，腔室可以重新配置以满足所有三个实验的要求。提出了一种基于卡尔曼滤波技术的模式识别和航迹重建方法。模式识别分两个阶段进行。在第一阶段，只击中吸管中心坐标，没有漂移时间信息，用于将背景降低到可管理的水平。在第二阶段，漂移时间信息被合并，并应用确定性退火滤波器以达到最终的背景抑制水平。最后的轨道动量重建是由一个组合下降滤波器，这是有效的命中到轨道分配。对$μ\to e$转换过程和$μ^+ \to e^+ + γ$过程，跟踪器测量单色轻子的动量分辨率分别为$σ_{p}$ = 0.17和0.26 MeV。对于$μ\to 3e$过程，对标量轻子总动量的跟踪器重建分辨率为$σ_{p} = $ 0.33 MeV。所获得的跟踪器的分辨率允许增加灵敏度的分支比，这些过程的几个数量级超过目前的实验限制。
英文摘要：
A tracking detector is proposed for lepton flavor violation experiments ($μ\to e$ conversion, $μ\to e + γ$, $μ\to 3e $) consisting of identical chambers which can be reconfigured to meet the requirements for all three experiments. A pattern recognition and track reconstruction procedure based on the Kalman filter technique is presented for this detector. The pattern recognition proceeds in two stages. At the first stage only hit straw tube center coordinates, without drift time information, are used to reduce the background to a manageable level. At the second stage the drift time information is incorporated and a deterministic annealing filter is applied to reach the final level of background suppression. The final track momentum reconstruction is provided by a combinatorial drop filter which is effective in hit-to-track assignment. The momentum resolution of the tracker in measuring monochromatic leptons is found to be $σ_{p}$ = 0.17 and 0.26 MeV for the $μ\to e$ conversion and $μ^+ \to e^+ + γ$ processes, respectively. The tracker reconstruction resolution for the total scalar lepton momentum is $σ_{p} = $ 0.33 MeV for the $μ\to 3e$ process. The obtained tracker resolutions allow an increase in sensitivity to the branching ratios for these processes by a few orders of magnitude over current experimental limits.
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