Solution to the Sudakov suppressed Balitsky-Kovchegov equation and its application to HERA data

• 来源期刊: 中国物理C（英文版）
• 年，卷（期）: 2021,（1）
• 所属期刊栏目: NUCLEAR PHYSICS
• 页码范围: 239-251
• 页数: 13页
• 语种: 英文
• DOI: 10.1088/1674-1137/abcOcc

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(-0(7y2))rapidity dependence of the solution with the fixed coupling constant is replaced by the exp(-0(η3/2))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 sup-pressed evolution equation,and the numerical results confirm the analytic outcomes.Moreover,we use the numeric-al 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.