Total cross sections of $e\gamma\to e X\bar{X}$ processes with $X=\mu,\gamma, e$ via multiloop methods.

Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e^-\gamma \to e^-X\bar{X}with X=\mu,\,\gammaor eat arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of e^-\gamma \to e^-e^-e^+is represented as a one-fold integral of complete elliptic integral \mathrm{K}and logarithms. Using our...