Rare decay ${\pi }^0\to e^{+}{e}^{-}$: on corrections beyond the leading order

Abstract

The preceding experimental and theoretical results on the rare decay ${\pi }^0\to e^{+}{e}^{-}$ are briefly summarized. Already computed two-loop QED corrections are reviewed and the bremsstrahlung contribution beyond the soft-photon approximation is analytically calculated. The possible further contribution of QCD loop corrections is estimated using the leading logarithm approximation. The complete result can be used to fit the value of the contact interaction coupling ${\chi }^r$ to the recent KTeV experiment with the result ${\chi }^r(M_{\rho })=4.5\pm 1.0$.

arXiv comment10 pages, 9 figures, 1 table

References in corpus (7)

• Decay of pseudoscalars into lepton pairs and large-Nc QCD
• Measurement of the rare decay pi0 -> e+ e-
• Electromagnetic corrections in the anomaly sector
• Chiral expansions of the pi0 lifetime
• Rare decay pi0 -> e+e-: theory confronts KTeV data
• The Rare Decays $\piee$, $\etaee$ and \etamumu$ in Chiral Perturbation Theory
• Enhanced Rare Pion Decays from a Model of MeV Dark Matter

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