Radiative corrections to Bhabha scattering and mupair production from the hadronic vacuum polarization

The known first order radiative corrections to Bhabha scattering and mupair production are extended to include the hadronic vacuum polarization. For the evaluation, the measured total cross-section for e⁺e^? → hadrons together with some assumptions on its high-energy behaviour is used. The results show that the inclusion of the hadronic vacuum polarization in the radiative corrections is required for precision tests of quantumelectrodynamics at high energies.