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An analysis of parton distribution functions of the pion and the kaon with the maximum entropy input
The European Physical Journal C ( IF 4.2 ) Pub Date : 2021-04-10 , DOI: 10.1140/epjc/s10052-021-09087-8
Chengdong Han , Gang Xie , Rong Wang , Xurong Chen

We present pion and kaon parton distribution functions from a global QCD analysis of the experimental data within the framework of dynamical parton model. We use the DGLAP equations with parton–parton recombination corrections and the valence input of uniform distribution which maximizes the information entropy. At our input scale \(Q_0^2\), there are no sea quark and gluon distributions. All the sea quarks and gluons of the pion and the kaon are completely generated from the parton splitting processes. The mass-dependent parton splitting kernel is applied for the strange quark distribution in the kaon. The obtained valence quark and sea quark distributions at high \(Q^{2}\) (\(Q^2>5\) GeV\(^2\)) are compatible with the existed experimental measurements. Furthermore, the asymptotic behaviours of parton distribution functions at small and large x have been studied for both the pion and the kaon. Lastly, the first three moments of parton distributions at high \(Q^{2}\) scale are calculated, which are consistent with other theoretical predictions.

A preprint version of the article is available at ArXiv.


中文翻译:

具有最大熵输入的π和Kaon的Parton分布函数分析

我们从动态parton模型的框架内对实验数据进行全局QCD分析,介绍了pion和kaon parton分布函数。我们将DGLAP方程与Parton-Parton重组校正和均匀分布的化合价输入一起使用,这可以使信息熵最大化。在我们的输入比例\(Q_0 ^ 2 \)下,没有夸克和胶子的分布。pion和kaon的所有海夸克和胶子都是从parton分裂过程中完全生成的。质量依赖的parton分裂核被应用于kaon中奇异的夸克分布。在高\(Q ^ {2} \)\(Q ^ 2> 5 \) GeV \(^ 2 \)下获得的价夸克和海夸克分布)与现有的实验测量结果兼容。此外,对介子和kaon都研究了小和大x上parton分布函数的渐近行为。最后,计算了高\(Q ^ {2} \)尺度上的Parton分布的前三个矩,这与其他理论预测是一致的。

该文章的预印本可在ArXiv上获得。
更新日期:2021-04-11
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