Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach

Abstract

We compute the radiative corrections to the process of two-pion production in association with a hard photon in $e^{+}{e}^{-}$ annihilation by taking into account the non-perturbative structure of the pion in the one-loop calculation. For this purpose, we adopt the generalised vector meson dominance model to insert the pion form factor in loop integrals for the treatment of final-state radiation and initial-final state interference at next-to-leading order. We compare our predictions with the results of the naive factorised scalar QED approach for experimentally relevant observables in the measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ process. The computation extends previous results obtained for the energy scan process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and can be used to quantify the uncertainty due to the model describing the pion-photon interaction in radiative return experiments at flavour factories.

References in corpus (56)

• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• The anomalous magnetic moment of the muon in the Standard Model
• New Developments in FeynCalc 9.0
• FeynCalc 9.3: New features and improvements
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Measurement of the ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to {\pi }^{+}{\pi }^{-}$ Cross Section between 600 and 900 MeV Using Initial State Radiation
• Precise Measurement of the e+ e- --> pi+ pi- (gamma) Cross Section with the Initial-State Radiation Method at BABAR
• High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )$ and extraction of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-})$ below 1 {\rm GeV} with the KLOE detector
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma (\gamma ))$ and the dipion contribution to the muon anomaly with the KLOE detector
• Measuring sigma(e^+e^- \to hadrons) using tagged photon
• Radiative return at NLO and the measurement of the hadronic cross-section in electron-positron annihilation
• Precision measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )/\sigma (e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma )$ and determination of the ${\pi }^{+}{\pi }^{-}$ contribution to the muon anomaly with the KLOE detector
• The hadronic contributions to the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon in the Standard Model: an update
• FeynCalc 10: Do multiloop integrals dream of computer codes?
• Precision Determination of the Pion Form Factor and Calculation of the Muon $g-2$
• Measurement of the Pion Form Factor in the Energy Range 1.04-1.38 GeV with the CMD-2 Detector
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Photon pair production at flavour factories with per mille accuracy
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• The radiative return at phi- and B-factories: small-angle photon emission at next to leading order
• The radiative return at phi- and B-factories: FSR at next-to-leading order
• Standard Model radiative corrections in the pion form factor measurements do not explain the $a_{\mu }$ anomaly
• Four-loop QCD propagators and vertices with one vanishing external momentum
• Measurement of the pion form factor with CMD-3 detector and its implication to the hadronic contribution to muon (g-2)
• NLO QED corrections to ISR in e+ e- annihilation and the measurement of σ(e+ e- \to hadrons) using tagged photons
• The branching ratio $\omega \to {\pi }^{+}{\pi }^{-}$ revisited
• The radiative return at small angles: virtual corrections
• The e+ e- -> P1 P2 gamma processes close to the Phi peak: toward a model-independent analysis
• Interference in the reaction $e^{+}{e}^{-}\to \gamma {\pi }^{+}{\pi }^{-}$ and the final state interaction
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process cross section with the SND detector at the VEPP-2000 collider in the energy region $0.525<\sqrt{s}<0.883$ GeV
• Charge asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process
• Radiative corrections to the forward-backward asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$
• Precise determination of the low-energy hadronic contribution to the muon $g-2$ from analyticity and unitarity: An improved analysis
• Measurement of the running of the fine structure constant below 1 GeV with the KLOE Detector
• Two-pion low-energy contribution to the muon $g-2$ with improved precision from analyticity and unitarity
• Final-sate radiation in electron-positron annihilation into a pion pair
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Final state radiation and a possibility to test a pion-photon interaction model near two-pion threshold
• Pion pair production in $e^{+}{e}^{-}$ annihilation at next-to-leading order matched to Parton Shower
• Radiative corrections to $\tau \to \pi \pi {\nu }_{\tau }$
• Improved calculation of radiative corrections to $\tau \to \pi \pi {\nu }_{\tau }$ decays
• Disperon QED
• Charge asymmetries in e+e- -> pi+ pi- gamma at the phi resonance
• Radiative return at NLOPS accuracy
• Asymmetry observables in e+ e- --> pi+ pi- gamma in the phi region within a chiral unitary approach