arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2104.01972hep-phhep-ex
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喷流物理的谱聚类

Spectral Clustering for Jet Physics

G. Cerro, S. Dasmahapatra, H. A. Day-Hall, B. Ford, S. Moretti, C. H. Shepherd-Themistocleous

摘要:

我们提出了一种新的方法来定义射流替代聚类方法,如反$k_T$计划,直接利用运动学数据。相反,新方法使用运动学信息来表示多维空间中的粒子,如谱聚类。在确认了它的红外(IR)安全性后,我们比较了它在分析来自蒙特卡罗(MC)样本的$qq\to H_{125\,\text{GeV}} \rightarrow H_{40\,\text{GeV}} H_{40\,\text{GeV}} \rightarrow b \bar{b} b \bar{b}$、$qq\to H_{500\,\text{GeV}} \rightarrow H_{125\,\text{GeV}} H_{125\,\text{GeV}} \rightarrow b \bar{b} b \bar{b}$和$gg,q\bar q\to t\bar t\to b\bar b W^+W^-\to b\bar b jj \ellν_\ell$事件时的性能,特别是在重建相关最终状态时的性能。最后,我们表明,谱聚类的结果得到的算法的参数设置没有任何变化,不像反kT的情况下,这需要调整锥的大小的物理过程中的研究。

英文摘要:

We present a new approach to jet definition alternative to clustering methods, such as the anti-$k_T$ scheme, that exploit kinematic data directly. Instead the new method uses kinematic information to represent the particles in a multidimensional space, as in spectral clustering. After confirming its Infra-Red (IR) safety, we compare its performance in analysing $qq\to H_{125\,\text{GeV}} \rightarrow H_{40\,\text{GeV}} H_{40\,\text{GeV}} \rightarrow b \bar{b} b \bar{b}$, $qq\to H_{500\,\text{GeV}} \rightarrow H_{125\,\text{GeV}} H_{125\,\text{GeV}} \rightarrow b \bar{b} b \bar{b}$ and $gg,q\bar q\to t\bar t\to b\bar b W^+W^-\to b\bar b jj \ellν_\ell$ events from Monte Carlo (MC) samples, specifically, in reconstructing the relevant final states, to that of the anti-kT algorithm. Finally, we show that the results for spectral clustering are obtained without any change in the parameter settings of the algorithm, unlike the anti-kT case, which requires the cone size to be adjusted to the physics process under study.

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