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arxiv: 1405.6927 · v1 · submitted 2014-05-27 · ✦ hep-ph · hep-ex

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Rare decay π⁰to e^+e^-: on corrections beyond the leading order

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classification ✦ hep-ph hep-ex
keywords correctionsapproximationbeyondcontributiondecayleadingrareresult
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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 $\chi^r(M_\rho) = 4.5 \pm 1.0$.

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  1. Improved Standard-Model predictions for $\eta^{(\prime)}\to \ell^+ \ell^-$

    hep-ph 2025-12 accept novelty 5.0

    Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.