Final-sate radiation in electron-positron annihilation into a pion pair

Abstract

The process of $e^{+}{e}^{-}$ annihilation into a ${\pi }^{+}{\pi }^{-}$ pair with radiation of a photon is considered. The amplitude of the reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ consists of the model independent initial-state radiation (ISR) and model-dependent final-state radiation (FSR). The general structure of the FSR tensor is constructed from Lorentz covariance, gauge invariance and discrete symmetries in terms of the three invariant functions. To calculate these functions we apply Chiral Perturbation Theory (ChPT) with vector and axial-vector mesons. The contribution of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ process to the muon anomalous magnetic moment is evaluated, and results are compared with the dominant contribution in the framework of a hybrid model, consisting of VMD and point-like scalar eletrodynamics. The developed approach allows us also to calculate the ${\pi }^{+}{\pi }^{-}$ charge asymmetry.

21 pages, 8 figures

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Cited by in corpus (20)

• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• The Discrepancy Between tau and e+e- Spectral Functions Revisited and the Consequences for the Muon Magnetic Anomaly
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• The e+ e- -> P1 P2 gamma processes close to the Phi peak: toward a model-independent analysis
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Radiative decays with light scalar mesons and singlet-octet mixing in ChPT
• 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
• Electromagnetic form factors of charged and neutral kaons in an extended vector-meson-dominance model
• Final state radiation and a possibility to test a pion-photon interaction model near two-pion threshold
• e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons
• 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
• Asymmetry observables in e+ e- --> pi+ pi- gamma in the phi region within a chiral unitary approach
• Charge asymmetries in e+e- -> pi+ pi- gamma at the phi resonance
• The GZK Puzzle and Fundamental Dynamics
• Azimuthal distributions in radiative decay of polarized $\tau$ lepton
• Polarization effects in radiative decay of polarized $\tau$ lepton
• Analysis of BaBar data for three meson tau decay modes using the Tauola generator
• Unified dispersive approach to ${\gamma }^{\ast }\to \gamma \pi \pi$ and $\gamma \gamma \to \pi \pi$
• Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach