Analysis of the gluon distribution with next-to-leading order splitting function at small-x^(*)

作     者：陈京萱 王晓鹏 蔡燕兵 陈旭荣 王倩 Jingxuan Chen;Xiaopeng Wang;Yanbing Cai;Xurong Chen;Qian Wang

作者机构：Key Laboratory of Atomic and Subatomic Structure and Quantum Control(MOE)Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of MatterInstitute of Quantum MatterSouth China Normal UniversityGuangzhou 510006China Guangdong-Hong Kong Joint Laboratory of Quantum MatterGuangdong Provincial Key Laboratory of Nuclear ScienceSouthern Nuclear Science Computing CenterSouth China Normal UniversityGuangzhou 510006China Institute of Modern PhysicsChinese Academy of SciencesLanzhou 730000China University of Chinese Academy of SciencesBeijing 100049China Lanzhou UniversityLanzhou 730000China School of Nuclear Science and TechnologyUniversity of Chinese Academy of SciencesBeijing 100049China Guizhou Key Laboratory in Physics and Related AreasGuizhou University of Finance and EconomicsGuiyang 550025China Southern Center for Nuclear-Science Theory(SCNT)Institute of Modern PhysicsChinese Academy of SciencesHuizhou 516000China 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2024年第48卷第6期

页      面：38-44页

核心收录：

学科分类：07[理学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学] 

基　　金：Supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB34030301) the National Natural Science Foundation of China(12375073) the Major Project of Basic and Applied Basic Research in Guangdong Province(2020B0301030008) the Basic Research Program(Natural Science)of Guizhou Province,China(QKHJC-ZKYB027) the Education Department of Guizhou Province,China(QJJ016) 

主　　题：DGLAP equation gluon distribution small-x structure function 

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