Two-Hadron Saturation for the Pseudoscalar-Vector-Vector Correlator and Phenomenological Applications

Abstract

The pseudoscalar-vector-vector correlator is constructed using two meson multiplets in the vector and two in the pseudoscalar channel. The parameters are constrained by the operator product expansion at leading order where two or all three momenta are considered as large. Demanding in addition the Brodsky-Lepage limit one obtains (in the chiral limit) a pion-vector-vector correlator with only one free parameter. The singly virtual pion transition form factor and the decay width of omega to pion and photon are independent of this parameter and can serve as cross-checks of the results. The free parameter is determined from a fit of the omega-pion transition form factor. The resulting pion-vector-vector correlator is used to calculate the decay widths of omega to pion and dielectron and to pion and dimuon and finally the widths of the rare decay pion to dielectron and of the Dalitz decay pion to photon and dielectron. Incorporating radiative QED corrections the calculations of neutral-pion decays are compared to the KTeV results. We find a deviation of 2 sigma or less for the rare pion decay.

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Cited by in corpus (23)

• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• Electromagnetic decays of the neutral pion
• Measurement of the omega -> pi^0 e^+e^- and eta -> e^+e^-g Dalitz decays with the A2 setup at MAMI
• Measurement of the ${\pi }^0$ electromagnetic transition form factor slope
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• Pion to photon transition form factors with basis light-front quantization
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Scalar-involved three-point Green functions and their phenomenology
• Radiative corrections to the ${\eta }^{(\prime )}$ Dalitz decays
• Precise determination of the branching ratio of the neutral-pion Dalitz decay
• Radiative corrections for the decay ${\Sigma }^0\to \Lambda e^{+}{e}^{-}$
• Scouring meson decays for true muonium
• On the three-point order parameters of chiral symmetry breaking
• Electromagnetic decays of the neutral pion investigated in the Dyson-Schwinger formalism
• Radiative corrections in Dalitz decays of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Possible manifestation of the 2p pionium in particle physics processes
• Neutral-pion decay into an electron-positron pair: A review and update
• Pseudoscalar decays into lepton pairs from rational approximants