QED Radiative Corrections to the Decay $π^{0} \rightarrow e^{+}e^{-}$

Details QED Radiative Corrections to the Decay $π^{0} \rightarrow e^{+}e^{-}$ QED Radiative Corrections to the Decay $π^{0} \rightarrow e^{+}e^{-}$

1993-01-07

arxiv.org/abs/hep-ph/9301214v1

Mod.Phys.Lett. A8 (1993) 1691-1700

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 Latex pages, 3 figures not included, available upon request, YCTP-P1-93

Scientific paper

In view of the recent interest in the decays of mesons into a pair of light leptons, a computation of the QED radiative corrections to the decay of $\pi^{0}$ into an electron-positron pair is presented here. The results indicate that the peak value of the differential decay rate is reduced by about $50 \%$, because of soft-photon radiation. The number of $e^{+}e^{-}$ pairs having invariant masses in an energy bin of 0.5 MeV centered around $m_{\pi}$ is found to be about $20 \%$ smaller than the one it would be if radiative corrections were neglected.

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