Speaker
Description
The studies of high-energy physics processes at future high-luminosity electron-
positron colliders require very precise calculations of QED radiative corrections for construction of sufficiently accurate theoretical predictions of these processes. The bulk of effect is provided by higher-order radiative corrections enhanced by the so-called large
logarithm $L = \ln \left( \frac{\mu^2}{m^2_e} \right) $ which depends on the factorization energy scale $\mu >> m_e$.
Radiative corrections in the leading and next-to-leading logarithmic approximations can be analytically calculated within the QED parton distribution functions approach. To calculate higher-order corrections we solve QED evolution equations by iterations. We calculated radiative corrections to the cross-section of electron-positron annihilation up to $O(\alpha^3 L^2)$ using this method. The results are relevant for physical programs of future high-energy electron-positron colliders including searches for dark matter.