论文标题

硅条探测器中异质性的次优方法:幸运模型和超级摇滚模型

Sub-optimal Approaches to Heteroscedasticity in Silicon Strip Detectors: the Lucky Model and the Super-Lucky Model

论文作者

Landi, Gregorio, Landi, Giovanni E.

论文摘要

参考文献1(仪器2022,6(1),10)的异质性方法包含一种非常简单实现的亚最佳方法的粗略应用:幸运模型。该方法的支持证明不能插入参考文献1。证明需要对两个带状重心的参考概率的分析形式。但是,这些分析形式还表明,对于没有缩放常数,与不同检测器类型的组合有关的缩放常数也可以完成幸运模型。先进的幸运模型(超级乐观的模型)可直接用于由非相同探测器组成的跟踪器中的轨道拟合。拟合重量的构造非常简单。使用此升级工具对轨道拟合的模拟也显示了分辨率改进,以组合两种非常不同的检测器,接近Ref.1的原理图模型的分辨率。

The approach to heteroscedasticity of ref.1(Instruments 2022, 6(1), 10) contains a sketchy application of a sub-optimal method of very easy implementation: the lucky model. The supporting proof of this method could not be inserted in ref.1. The proof requires the analytical forms of the probability of ref.2 for the two strip center of gravity. However, those analytical forms suggest also a completion of the lucky-model for the absence of a scaling constant, relevant for combinations of different detector types. The advanced lucky-model (the super-lucky model) can be directly used for track fitting in trackers composed of non-identical detectors. The construction of the weights for the fits is very simple. Simulations of track fitting with this upgraded tool show resolution improvements also for combination of two types of very different detectors, near to the resolutions of the schematic model of ref.1.

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