QED radiative corrections to the decay pi^0 to e^+e^-

Abstract

We reconsider QED radiative corrections (RC) to the ${\pi }^0\to e^{+}{e}^{-}$ decay width. One kind of RC investigated earlier has a renormalization group origin and can be associated with the final state interaction of electron and positron. It determines the distribution of lepton pair invariant masses in the whole kinematic region. The other type of RC has a double-logarithmic character and is related to almost on-mass-shell behavior of the lepton form factors. The total effect of RC for the ${\pi }^0\to e^{+}{e}^{-}$ decay is estimated to be 3.2% and for the decay $\eta \to e^{+}{e}^{-}$ is 4.3%.

12 pages, 3 figures

References in corpus (7)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Measurement of the rare decay pi0 -> e+ e-
• Rare decay pi0 -> e+e-: theory confronts KTeV data
• The Rare Decays $\piee$, $\etaee$ and \etamumu$ in Chiral Perturbation Theory
• The Dalitz decay pi0 -> e+ e- gamma revisited
• Resummation of Large Logarithms in ${\gamma }^{\ast }{\pi }^0\to \gamma$
• QED Radiative Corrections to the Decay ${\pi }^0\to e^{+}{e}^{-}$

Cited by in corpus (17)

• A viable QCD axion in the MeV mass range
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Rare decay π^0 \to e^+e^- as a Test of Standard Model
• Two-loop QED radiative corrections to the decay pi0 -> e+ e- : The virtual corrections and soft-photon bremsstrahlung
• Signals of the QCD axion with mass of 17 MeV/c^2: nuclear transitions and light meson decays
• Complete structure dependent analysis of the decay $P\to l^{+}{l}^{-}$
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• On mass corrections to the decays P \to l^+l^-
• How the recent BABAR data for P to γγ* affect the Standard Model predictions for the rare decays P to l+l-
• Rare decay ${\pi }^0\to e^{+}{e}^{-}$ constraints on the light CP-odd Higgs in NMSSM
• $\eta$ and ${\eta }^{\prime }$ Physics at BES-III
• Pseudoscalar meson form factors and decays
• Radiative corrections for the decay ${\Sigma }^0\to \Lambda e^{+}{e}^{-}$
• Muon g-2, rare decays P \to l^+l^- and transition form factors P \to γγ^*
• Recent results on rare decay pi0 to e+e-
• Neutral-pion decay into an electron-positron pair: A review and update
• On decays of light unflavoured pseudoscalar mesons