Hadronic vacuum polarization and e+e− → μ+μ− cross section: Reanalysis with new precise data for σh with 4π final states included

Abstract

The interference effect between leptonic radiative corrections and hadronic polarization functions is calculated via optical theorem for μ–pair production in vicinity of narrow resonances. Within seven most dominant exclusive channels of the production cross section σh(e+e− → hadrons) one achieves high acuracy which is necessary for the comparison with experiments. The result is compared with KLOE and KLOE2 experiments for μ−μ+ and μ−μ+γ productions at φ and ω/ρ meson energy.