论文标题
对带有最大熵输入的Parton分布函数的分析
An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
论文作者
论文摘要
我们从动态Parton模型框架内的实验数据的全局QCD分析中介绍了PION和KAON PARTON分布函数。我们使用带有Parton-Parton重组校正的DGLAP方程和均匀分布的价输入，从而最大化信息熵。在我们的输入量表$ q_0^2 $上，没有Sea Quark和Gluon分布。 PARTON分裂过程完全产生了Pion和Kaon的所有海Quark和Gluons。质量依赖的parton分裂内核用于Kaon中的奇怪夸克分布。在高$ q^{2} $（$ q^2> 5 $ gev $^2 $）上获得的Valence Quark和Sea Quark分布与存在的实验测量值兼容。此外，对Parton分布功能在小$ x $上的渐近行为进行了研究。最后，计算出高$ q^{2} $比例的Parton分布的前三个时刻是与其他理论预测一致的。
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.
