A Rigorous Calculation for the Radiator in e⁺e^- Processes

Abstract：

Using the precise expression of electron, positron distribution functions we obtained previously, we get the rigorous analytical expression of the radiator in e⁺e^- collision processes. This series expression converges rapidly to the precise result required. The comparison with existing approximate expression is also given. Our result benefits the precise calculation for the radiative corrections in e⁺e^- collision processes.