论文标题
使用有限脉冲响应过滤器的运动学边缘检测
Kinematic Edge Detection Using Finite Impulse Response Filters
论文作者
论文摘要
各种物理可观察的物品可以从在测量值的分布中的不同边缘样特征的定位来确定。在本文中，我们解决了以下观察结果：对于实验数据中的显着波动，既不区分也没有拟合测得的分布是可靠的。我们建议使用有限脉冲响应（FIR）过滤器的应用。为了证明该方法，我们考虑了粒子物理学中的典型情况，在粒子物理学中，运动边缘的精确定位（例如\ \背景贡献和检测器效应）通常对确定粒子质量至关重要。我们表明，即使对于高能物理的典型数据，最佳的FIR滤波器内核也可以由{\ em的首先衍生物的高斯}（FDOG）近似。我们研究了两个高度互补的超对称方案，如果在本质上实现的话，可以在未来的高能$ e^+e^ - $ collider上观察到，例如国际线性撞机（ILC）或紧凑型线性碰撞器（CLIC）。第一种方案考虑了$ \ tilde {e}^{\ pm} - $对的生产，而第二个则重点关注$ \tildeχ^{\ pm} _ {1} $和$ \tildeχ^{0} _ {2} _ {2} $ - 成对的生产。我们证明，在鲁棒性和精度方面，用于边缘提取的FIR滤波器方法优于先前使用的方法。
Various physics observables can be determined from the localisation of distinct edge-like features in distributions of measurement values. In this paper, we address the observation that neither differentiating nor fitting the measured distributions is robust against significant fluctuations in the experimental data. We propose the application of Finite Impulse Response (FIR) filters instead. To demonstrate the method, we consider the typical case in particle physics in which the precise localisation of kinematic edges, often blurred by e.g.\ background contributions and detector effects, is crucial for determining particle masses. We show that even for binned data, typical for high energy physics, the optimal FIR filter kernel can be approximated by the {\em first derivative of a Gaussian} (FDOG). We study two highly complementary supersymmetric scenarios that, if realised in nature, could be observed at a future high-energy $e^+e^-$ collider such as the International Linear Collider (ILC) or the Compact Linear Collider (CLIC). The first scenario considers the production of $\tilde{e}^{\pm}-$pairs while the second focuses on the $\tildeχ^{\pm}_{1}$ and $\tildeχ^{0}_{2}$-pair production. We demonstrate that the FIR filter method for edge extraction is superior to previously employed methods in terms of robustness and precision.
