Test of FSR in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ at DA$\Phi$NE and extraction of the pion form factor at threshold

Abstract

Effects due to non-pointlike behaviour of pions in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ can arise for hard photons in the final state. By means of a Monte Carlo event generator, which also includes the contribution of the direct decay $\varphi \to {\pi }^{+}{\pi }^{-}\gamma$, we estimate these effects in the framework of Resonance Perturbation Theory. We consider angular cuts used in the KLOE analysis of the pion form factor at threshold. A method to reveal the effects of non-pointlike behaviour of pions in a model-independent way is proposed.

arXiv comment13 pages, 6 figures

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• The Muon g-2
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• Hadronic decays of the tau lepton: Theoretical outlook
• Final state radiation and a possibility to test a pion-photon interaction model near two-pion threshold
• FASTERD: a Monte Carlo event generator for the study of final state radiation in the process $e^{+}{e}^{-}\to \pi \pi \gamma$ at DA$\Phi$NE
• Photon radiation in $e^{+}{e}^{-}\to$ hadrons at low energies with CARLOMAT 3.1
• Charge asymmetries in e+e- -> pi+ pi- gamma at the phi resonance
• PHOKHARA, the radiative return and the $(g-2{)}_{\mu }$ puzzle