Charge asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process

Abstract

We consider the charge asymmetry in the differential cross section of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$. Experimental data show large deviations from the results of the available theoretical calculations. Motivated by this fact, we revisit the contribution of the two photon exchange diagrams and find the origin of discrepancy in an oversimplified account of the pion internal structure in the theoretical calculations. We present a natural and simple approach that accounts for the pion structure in a more consistent way and find remarkable agreement with the experimental data.

arXiv comment14 pages

References in corpus (9)

• The anomalous magnetic moment of the muon in the Standard Model
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector
• Measurement of the Pion Form Factor in the Energy Range 1.04-1.38 GeV with the CMD-2 Detector
• Monte-Carlo generator for e+e- annihilation into lepton and hadron pairs with precise radiative corrections
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• Standard Model radiative corrections in the pion form factor measurements do not explain the $a_{\mu }$ anomaly
• Electron-positron annihilation to photons at $O({\alpha }^3)$ revisited

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• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Radiative corrections to the forward-backward asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$
• Isospin-breaking effects in the three-pion contribution to hadronic vacuum polarization
• An optimized basis for hadronic light-by-light scattering
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
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• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
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• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
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• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• Disperon QED
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