Abstrac

t—Methods for determination of QED radiative corrections in the leading and next-to- leading logarithmic approximations are described. Analytical solutions to the QED evolution equations for electron structure functions are presented. Some examples of applying the methods described to construction of the high-precision description of processes in high-energy accelerators are considered. A case of the calculation of higher-order corrections to the muon decay spectrum is considered in detail. Use of the approaches developed to justify methods of radiation return and direct measurement of the QED running constant is discussed.

中文翻译：

---

量子电动力学中的对数和前导对数逼近

Abstrac

t-描述了确定对数和前导对数的QED辐射校正的方法。提出了针对电子结构函数的QED演化方程的解析解。考虑了将所描述的方法应用于高能加速器中的过程的高精度描述的构造的一些示例。详细考虑了对μ子衰减谱的高阶校正的计算情况。讨论了开发用于证明辐射返回方法和直接测量QED运行常数的方法的方法。