Radiative corrections to the Dalitz decay ${\pi }^0\to e^{+}{e}^{-}\gamma$ revisited

Abstract

We have recalculated the Mikaelian and Smith radiative corrections to the Dalitz decay ${\pi }^0\to e^{+}{e}^{-}\gamma$ beyond the soft-photon approximation, i.e. over the whole range of the Dalitz plot and with no restrictions on the radiative photon. In contrast to the previous calculations, we did not neglect the terms of order higher than $\mathcal{O}(m^2)$ and also included the one-photon-irreducible contribution at one-loop level and the virtual muon loop contribution. The results can then be used also for heavier particles in the final state.

15 pages, 5 figures, 1 table and 3 ancillary files (C++ code); v2: accepted version for publication in Phys. Rev. D.; extended discussion, one table and muon loop contribution added, C++ code updated

References in corpus (2)

• Rare decay ${\pi }^0\to e^{+}{e}^{-}$: on corrections beyond the leading order
• Search for the dark photon in ${\pi }^0$ decays by the NA48/2 experiment at CERN

Cited by in corpus (21)

• The anomalous magnetic moment of the muon in the Standard Model
• 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
• Measurement of the omega -> pi^0 e^+e^- and eta -> e^+e^-g Dalitz decays with the A2 setup at MAMI
• QED Meson Description of the X17 and Other Anomalous Particles
• Two-Hadron Saturation for the Pseudoscalar-Vector-Vector Correlator and Phenomenological Applications
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Measurement of the ${\pi }^0$ electromagnetic transition form factor slope
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• Radiative corrections to the ${\eta }^{(\prime )}$ Dalitz decays
• First Observation and Study of the $K^{\pm }\to {\pi }^{\pm }{\pi }^0{e}^{+}{e}^{-}$ Decay
• Precise determination of the branching ratio of the neutral-pion Dalitz decay
• Radiative corrections for the decay ${\Sigma }^0\to \Lambda e^{+}{e}^{-}$
• Workshop summary -- Kaons@CERN 2023
• Radiative corrections in Dalitz decays of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Kaon experiments at CERN: recent results and prospects
• A Measurement of the Branching Ratio of ${\pi }^0$ Dalitz Decay using $K_L\to {\pi }^0{\pi }^0{\pi }^0$ Decays
• Neutral-pion decay into an electron-positron pair: A review and update
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron