Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at small $\sqrt{s}$

Abstract

In this work, the two-photon-exchange (TPE) effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at small $\sqrt{s}$ are discussed within a hadronic model. In the limit $m_e\to 0$, the TPE contribution to the amplitude can be described by one scalar function ${\overline{c}}_1^{(2\gamma )}$. The ratio between this function and the corresponding contribution in one-photon exchange $c_1^{(1\gamma )}$ reflects all the information of the TPE corrections. The numerical results on this ratio are presented and an artificial function is used to fit the numerical results. The latter can be used conveniently in the further experimental data analysis. The numerical results show the asymmetry of the differential cross sections in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ is about $-4\%$ at $\sqrt{s}\sim 0.7$ GeV.

arXiv comment8 figures

References in corpus (27)

• Automatized One-Loop Calculations in 4 and D dimensions
• New Developments in FeynCalc 9.0
• Two-photon exchange and elastic electron-proton scattering
• How to reconcile the Rosenbluth and the polarization transfer method in the measurement of the proton form factors
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Partonic calculation of the two-photon exchange contribution to elastic electron-proton scattering at large momentum transfer
• Two-photon exchange in elastic electron-nucleon scattering
• Radiative Corrections to Electron-Proton Scattering
• The two-photon exchange contribution to elastic electron-nucleon scattering at large momentum transfer
• $\Delta$ resonance contribution to two-photon exchange in electron-proton scattering
• Two-photon exchange in dispersion approach
• Two-photon exchange in elastic electron-proton scattering : QCD factorization approach
• Box diagram in the elastic electron-proton scattering
• Is there model-independent evidence of the two-photon-exchange effect in the electron-proton elastic scattering cross section?
• A dispersive approach to two-photon exchange in elastic electron-proton scattering
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Two-photon exchange corrections to elastic electron-proton scattering at large momentum transfer within the SCET approach
• On Delta resonance contribution to two-photon exchange amplitude
• Phenomenological analysis of two-photon exchange effects in proton form factor measurements
• Two photon exchange amplitude with πN intermediate states: P33 channel
• Solving three-body scattering problem in the momentum lattice representation
• Two-photon exchange corrections to the pion form factor
• Two-photon exchange in elastic electron-pion scattering
• Form factors of pion and kaon
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and time-like pion electromagnetic form factor
• Gauge Invariant Two-Photon-Exchange Contributions in $e^{-}{\pi }^{+}\to e^{-}{\pi }^{+}$

Cited by in corpus (1)

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