NLO QED corrections to ISR in e+ e- annihilation and the measurement of σ(e+ e- \to hadrons) using tagged photons

Abstract

The leptonic tensor for the process $e^{+}{e}^{-}\to \gamma +{\gamma }^{\ast }$, 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 $e^{+}{e}^{-}\to \gamma +{\pi }^{+}{\pi }^{-}$ 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 $\sqrt{s}$. 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 $\sigma (e^{+}{e}^{-}\to hadrons)$, which plays an important role in the theoretical description of the muon anomalous magnetic moment and the running of the electromagnetic coupling, is discussed.

8 pages, 5 figures, submitted to EPJ. The complete paper is also available at http://www-ttp.physik.uni-karlsruhe.de/Preprints/

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