摘要
We analytically solve the Sudakov suppressed Balitsky-Kovchegov evolution equation with fixed and running coupling constants in the saturation region. The analytic solution of the S-matrix shows that the exp(-O(η^2))rapidity dependence of the solution with the fixed coupling constant is replaced by the exp(-O(η^3/2))dependence in the smallest dipole running coupling case, as opposed to obeying the law found in our previous publication, where all the solutions of the next-to-leading order evolution equations comply with exp(-O(η))rapidity dependence once the QCD coupling is switched from the fixed coupling to the smallest dipole running coupling prescription. This finding indicates that the corrections of the sub-leading double logarithms in the Sudakov suppressed evolution equation are significant, which compensate for a part of the evolution decrease of the dipole amplitude introduced by the running coupling effect. To test the analytic findings, we calculate the numerical solutions of the Sudakov suppressed evolution equation, and the numerical results confirm the analytic outcomes. Moreover, we use the numerical solutions of the evolution equationto fit the HERA data. This demonstrates that the Sudakov suppressed evolution equation can achieve a good quality fit to the data.
作者
Wen-Chang Xiang
Meng-Liang Wang
Yan-Bing Cai
Dai-Cui Zhou
向文昌;王梦亮;蔡燕兵;周代翠(Guizhou Key Laboratory in Physics and Related Areas,and Guizhou Key Laboratory of Big Data Statistic Analysis,Guizhou University of Finance and Economics,Guiyang 550025,China;Department of Physics,Guizhou University,Guiyang 550025,China;Guizhou Key Laboratory in Physics and Related Areas,Guizhou University of Finance and Economics,Guiyang 550025,China;Key Laboratory of Quark and Lepton Physics(MOE),and Institute of Particle Physics,Central China Normal University,Wuhan 430079,China)
基金
Supported by the National Natural Science Foundation of China (11765005,11305040,11947119,11847152)
the Fund of Science and Technology Department of Guizhou Province ([2018]1023,[2019]5653)
the Education Department of Guizhou Province (KY[2017]004)
the National Key Research and Development Program of China (2018YFE0104700,CCNU18ZDPY04)。
