Abstract.
The leptonic tensor for the process \(e^+ e^- \rightarrow \gamma+\gamma^*\), which describes the next-to-leading order virtual and soft QED corrections to initial state radiation in \(e^+ e^-\) annihilation with emission of an extra virtual photon decaying into hadrons, is calculated. A Monte Carlo generator for the reaction \(e^+ e^- \rightarrow \gamma + \pi^+ \pi^-\) has been set up which includes these corrections. It thus describes configurations where the invariant mass of the hadrons plus photon is very close to \(s^{1/2}\). Predictions for cms energies of 1 to 10 GeV, corresponding to the energies of DAPHNE and B-meson factories, are presented. The possibility for an accurate measurement using tagged photons of \(\sigma(e^+ e^- \rightarrow{\mathrm {hadrons}})\), which plays an important role in the theoretical description of the muon anomalous magnetic moment and the running of the electromagnetic coupling, is discussed.
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Received: 14 June 2001 / Published online: 5 October 2001
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Rodrigo, G., Gehrmann-De Ridder, A., Guilleaume, M. et al. NLO QED corrections to ISR in \(e^+ e^-\) annihilation and the measurement of \(\sigma(e^+ e^- \rightarrow{\mathrm{hadrons}})\) using tagged photons. Eur. Phys. J. C 22, 81–88 (2001). https://doi.org/10.1007/s100520100784
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DOI: https://doi.org/10.1007/s100520100784