QED radiative corrections to the decay pi^0 to e^+e^-

Details QED radiative corrections to the decay pi^0 to e^+e^- QED radiative corrections to the decay pi^0 to e^+e^-

2008-01-14

arxiv.org/abs/0801.2028v1

Eur.Phys.J.C55:193-198,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures

Scientific paper

10.1140/epjc/s10052-008-0590-x

We reconsider QED radiative corrections (RC) to the $\pi^{0}\to e^{+}e^{-}$ decay width. One kind of RC investigated earlier has a renormalization group origin and can be associated with the final state interaction of electron and positron. It determines the distribution of lepton pair invariant masses in the whole kinematic region. The other type of RC has a double-logarithmic character and is related to almost on-mass-shell behavior of the lepton form factors. The total effect of RC for the $\pi^{0}\to e^{+}e^{-}$ decay is estimated to be 3.2% and for the decay $\eta \to e^{+}e^{-}$ is 4.3%.

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