近日，华南师范大学的王倩及其研究小组与贵阳财经大学的蔡燕兵以及中国科学院近代物理研究所的陈旭荣合作并取得一项新进展。经过不懈努力，他们实现小x下次领头阶分裂函数的胶子分布分析。相关研究成果已于2024年6月15日在国际知名学术期刊《中国物理C》上发表。

该研究团队给出了具有NLO分裂函数的DGLAP演化方程在小x极限下胶子分布的近似解。研究人员首先得到了在小x极限下的LO和NLO分裂函数的简化形式。利用这些近似的分裂函数，研究人员用Mellin变换得到解析胶子分布。通过拟合CJ15胶子分布数据，得到了边界条件下的自由参数。

研究人员发现胶子分布的渐近行为与CJ15数据一致，而考虑胶子发射“阶梯”结构的NLO结果略好于LO结果。这些结果表明，NLO的修正对小x区胶子分布的行为有显著影响。

此外，他们利用胶子分布的解析解研究了质子结构函数的DGLAP演化。微分结构函数表明，这项研究结果与CJ15在小x的数据有相似的趋势。

附：英文原文

Title: Analysis of the gluon distribution with next-to-leading order splitting function at small-x

Author: Jingxuan Chen, Xiaopeng Wang, Yanbing Cai, Xurong Chen, Qian Wang

Issue&Volume: 2024-06-15

Abstract: An approximated solution for the gluon distribution from DGLAP evolution equations with the NLO splitting function in the small-x limit is presented. We first obtain simplified forms of the LO and NLO splitting functions in the small-x limit. With these approximated splitting functions, we obtain the analytical gluon distribution using the Mellin transform. The free parameters in the boundary conditions are obtained by fitting the CJ15 gluon distribution data. We find that the asymptotic behavior of the gluon distribution is consistent with the CJ15 data; however, the NLO results considering the "ladder" structure of gluon emission are slightly better than the LO results. These results indicate that the corrections from NLO have a significant influence on the behavior of the gluon distribution in the small-x region. In addition, we investigate the DGLAP evolution of the proton structure function using the analytical solution of the gluon distribution. The differential structure function reveals that our results have a similar tendency to the CJ15 data at small-x.

DOI: 10.1088/1674-1137/ad305d

Source: http://hepnp.ihep.ac.cn/article/doi/10.1088/1674-1137/ad305d