论文标题
$eγ\至e x \ bar {x} $过程的总横截面，$ x =μ，γ，e $通过multiloop方法
Total cross sections of $eγ\to e X\bar{X}$ processes with $X=μ,γ, e$ via multiloop methods
论文作者
论文摘要
使用现代的多旋转计算方法，我们在任意能量时以$ x =μ，\，\，γ$或$ e $的方式得出了该过程的总横截面的分析表达式。在前两个过程中，我们的结果通过经典的聚类表示。 $ e^-γ\至e^-e^-e^+$的横截面表示为完整椭圆积分$ \ mathrm {k} $ and Googarithms的一倍积分。使用我们的结果，我们计算阈值和高能渐近学，并将其与可用结果进行比较。
Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes $e^-γ\to e^-X\bar{X}$ with $X=μ,\,γ$ or $e$ at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of $e^-γ\to e^-e^-e^+$ is represented as a one-fold integral of complete elliptic integral $\mathrm{K}$ and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.
