Electromagnetic corrections to gamma pi(+) -> pi(0) pi(+)

Abstract

The amplitude for the anomalous transitions gamma pi(+) -> pi(0) pi(+) is analyzed within Chiral Perturbation Theory including electromagnetic interactions. The presence of a t-channel one-photon exchange contribution induces sizeable e^2 corrections which enhance the cross-section in the threshold region and bring the theoretical prediction into agreement with available data. In the case of the crossed reaction gamma pi(0) -> pi(+) pi(-), the same contribution appears in the s-channel and its effects are small.

16 pages, 4 figures, fixed two typos, no changes

References in corpus (2)

• The anomalous process gamma pi -> pi pi to two loops
• Photon-3-Pion And Pion-2-Photon Form Factors From Dynamical Constituent Quarks

Cited by in corpus (24)

• Dispersive analysis of the pion transition form factor
• Extracting the chiral anomaly from gamma pi --> pi pi
• Electromagnetic corrections in the anomaly sector
• Anomalous decay and scattering processes of the eta meson
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Neutral Pion Lifetime Measurements and the QCD Chiral Anomaly
• Radiative resonance couplings in $\gamma \pi \to \pi \pi$
• The $\pi \gamma \to \pi \pi$ transition and the $\rho$ radiative decay width from lattice QCD
• Cross sections for low-energy ${\pi }^{-}\gamma$ reactions
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Isospin-breaking effects in the three-pion contribution to hadronic vacuum polarization
• The $\gamma \pi \to \pi \pi$ anomaly from lattice QCD and dispersion relations
• Leading logarithms in the anomalous sector of two-flavour QCD
• A new determination of the $\gamma \pi \to \pi \pi$ anomalous amplitude via ${\pi }^{-}{e}^{-}\to {\pi }^{-}{e}^{-}{\pi }^0$ data
• Study of $\gamma \pi \to \pi \pi$ below 1 GeV using Integral Equation Approach
• Chiral corrections to ${\pi }^{-}\gamma \to 3\pi$ processes at low energies
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Looking for chiral anomaly in $K\gamma \to K\pi$ reactions
• Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in the gamma* --> pi+ pi0 pi- process
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model
• Extracting the chiral anomaly from $e^{+}{e}^{-}\to 3\pi$
• Radiative corrections to neutral pion-pair production
• Eta decays involving photons
• Tests of Three-Flavor Chiral Perturbation Theory