论文标题

Shannon碎片功能的熵及其Kullback-Leibler与Parton PDFS的差异

Shannon entropy of fragmentation functions and their Kullback-Leibler divergence to parton pdfs

论文作者

Benito-Calviño, Guillermo, García-Olivares, Javier, Llanes-Estrada, Felipe J.

论文摘要

各个组最近研究了高能碰撞中的信息流:这包括质子成为PDF的经典信息熵的纠缠熵,影响熵的喷射分裂或强子衰减中的熵分布。在这里,我们在这种情况下检查了碎片函数,包括它们的熵作为概率分布,并将其作为一个方便的数字来表征其提取过程中的进度。我们还使用kullback-leibler差异来检查FFS和PDF之间的关系,例如Barone,Drago和Ma。

The flow of information in high-energy collisions has been recently investigated by various groups: this includes the entanglement entropy of the proton becoming classical information entropy of pdfs, jet splitting affecting entropy, or the entropy distribution in hadron decays. Here we examine fragmentation functions in this context, including their entropy as probability distributions, and propose it as one convenient number to characterize progress in their extraction. We also use the Kullback-Leibler divergence to examine relations between FFs and pdfs such as that of Barone, Drago and Ma.

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