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Improved Standard-Model prediction for $\pi^0\to e^+e^-$

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arxiv 2105.04563 v2 pith:VFXBKY4K submitted 2021-05-10 hep-ph hep-exhep-latnucl-th

classification hep-phhep-exhep-latnucl-th
keywords constraintsgammaimprovedpionpredictionstandard-modelamplitudeaxial-vector
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present an improved Standard-Model (SM) prediction for the dilepton decay of the neutral pion. The loop amplitude is determined by the pion transition form factor for $\pi^0\to\gamma^*\gamma^*$, for which we employ a dispersive representation that incorporates both space-like and time-like data as well as short-distance constraints. The resulting SM branching fraction, $\text{BR}[\pi^0\to e^+e^-]=6.25(3)\times 10^{-8}$ , sharpens constraints on physics beyond the SM, including pseudoscalar and axial-vector mediators.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Precision evaluation of the $\eta$- and $\eta'$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon

    hep-ph 2024-11 accept novelty 8.0 of 10

    A new dispersive analysis of the eta and eta-prime transition form factors gives a_mu(eta-pole) = 14.7(9) x 10^-11 and a_mu(eta'-pole) = 13.5(7) x 10^-11, with combined pseudoscalar poles at 91.2(+2.9,-2.4) x 10^-11.

  2. Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Using a dispersive formalism with experimental transition form factors and short-distance constraints, the authors obtain a_mu^HLbL = 101.9(7.9) x 10^-11, halving the previous uncertainty.

  3. Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.

  4. Dispersion relation for hadronic light-by-light scattering: subleading contributions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A dispersive evaluation gives a_mu^HLbL subleading = 33.2(7.2) x 10^-11 and total = 101.9(7.9) x 10^-11.

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