Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-06-13
Eur.Phys.J.C22:81-88,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 5 figures, submitted to EPJ. The complete paper is also available at http://www-ttp.physik.uni-karlsruhe.de/Preprints
Scientific paper
10.1007/s100520100784
The leptonic tensor for the process $e^+ e^- \to \gamma+\gamma^*$, 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 $e^+ e^- \to \gamma + \pi^+ \pi^-$ 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.
Guilleaume Marc
Kuhn Johann H.
Ridder Aude Gehrmann--De
Rodrigo German
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