标题： 色偶极子截面的演化 显示英文标题

标题： Evolution of the color dipole cross section

摘要： 使用拉普拉斯变换技术，我们描述了颜色偶极子截面在贝克斯坦-戈莱克-比耶纳特-科瓦尔斯基模型中，在低贝克斯坦变量$x$值和宽范围的横向偶极子尺寸$r$的运动学区域内的演化，包括一阶近似和下一阶近似。这种演化方法表明，饱和尺度和几何标度得以保持。我们推导了积分和非积分颜色偶极子胶子分布函数的解析结果，并分别与CJ15参数化组和非积分颜色偶极子胶子分布模型进行了比较。在非积分颜色偶极子胶子分布的演化中包含了苏达科夫形式因子，结果在$k_{t}^{2}$的小值和大值情况下进行了考虑。 显示英文摘要

摘要： Using Laplace transform techniques, we describe the evolution of the color dipole cross section, at the leading-order and next-to-leading order approximations, from the Bartels-Golec-Biernat-Kowalski model in a kinematical region of low values of the Bjorken variable $x$ and a wide range of transverse dipole size $r$. This evolution method shows that the saturation scale and geometric scaling are retained. We derived analytical results for the integrated and unintegrated color dipole gluon distribution functions and compared them with the CJ15 parametrization group and the unintegrated color dipole gluon distribution models respectively. The Sudakov form factor into the evolution of the unintegrated color dipole gluon distribution is incorporated and the results are considered at small and large values of $k_{t}^{2}$