Total cross sections of $eγ\to e X\bar{X}$ processes with $X=μ,γ, e$ via multiloop methods

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.

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