arXiv subjects
Publications and source records attributed to Vyacheslav A. Stotsky.
We calculate two-loop massive master integrals for $e^{+}e^{-}\rightarrow2γ$ in terms of generalized power series with respect to electron mass. The coefficients of this series are expressed via Goncharov's polylogarithms. Our approach exploits a number of modern multiloop methods: IBP reduction, differential equations for master integrals, Frobenius method, reduction to $ε$-form, and DRA method.
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.