Total cross sections of eγ → eXX¯ 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 →e⁻XX¯ 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 → e⁻e⁻e⁺ is represented as a one-fold integral of complete elliptic integral K and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.