The 2025 International Workshop on the High Energy Circular Electron Positron Collider

Radiative corrections due to initial state radiation in electron-positron annihilation are calculated within the QED structure function approach. Results are shown in the next-to-leading logarithmic approximation up to O(alpha^4L^3) order, where L=ln(s/m^2_e) is the large logarithm. Dependence on factorization scale and scheme choices is analyzed. The results are relevant for future high-precision experiments at e+e− colliders.