Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and time-like pion electromagnetic form factor

Abstract

The two-photon-exchange (TPE) effects in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at large momentum transfer are discussed within the perturbative QCD (pQCD). The contributions from the twist-2 and twist-3 distribution amplitudes (DAs) of pion are considered in the estimation. Different with the results under the one-photon-exchange (OPE) approximation, the TPE effects result in an asymmetry of the differential cross section on the scattering angle. The precise measurement of this asymmetry by the further experiment is an precise test of pQCD at large momentum transfer. The time-like electromagnetic form factor of pion at the leading order of pQCD is re-discussed and the comparison of our results with those in the references are presented.

References in corpus (35)

• Cuba - a library for multidimensional numerical integration
• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• Two-photon exchange and elastic electron-proton scattering
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• 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
• The two-photon exchange contribution to elastic electron-nucleon scattering at large momentum transfer
• Threshold resummation for exclusive B meson decays
• $\Delta$ resonance contribution to two-photon exchange in electron-proton scattering
• Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering: Determined by the OLYMPUS Experiment
• 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
• High Precision Measurements of the Form Factors of Pion, Kaon, and Proton at Large Timelike Momentum Transfers
• Timelike form factors at high energy
• 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
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• Two-photon exchange corrections to elastic electron-proton scattering at large momentum transfer within the SCET approach
• Phenomenological analysis of two-photon exchange effects in proton form factor measurements
• On Delta resonance contribution to two-photon exchange amplitude
• Two photon exchange amplitude with πN intermediate states: P33 channel
• Two-photon exchange corrections in elastic muon-proton scattering
• Next-to-leading-order time-like pion form factors in $k_T$ factorization
• Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD
• Time-like pion electromagnetic form factors in $k_T$ factorization with the Next-to-leading-order twist-3 contribution
• Two-Photon Exchange Contribution to Proton Form Factors in Time-Like region
• Solving three-body scattering problem in the momentum lattice representation
• Two-photon exchange corrections to the pion form factor
• Two-photon-exchange effects in the unpolarized $\mu p$ scattering within the hadronic model
• Two-photon exchange in elastic electron-pion scattering
• Contribution of σ-meson exchange to elastic lepton-proton scattering
• Space- and time-like electromagnetic pion form factors in light-cone pQCD
• Meson exchange effects in elastic $ep$ scattering at loop level and the electromagnetic form factors of the proton

Cited by in corpus (5)

• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• $Z\to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$: A touchstone of the PQCD approach
• Lepton mass effects for beam-normal single-spin asymmetry in elastic muon-proton scattering
• Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at small $\sqrt{s}$