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arXiv 0801.2028hep-ph
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QED对衰变pi ^0到e^+e^-的辐射修正

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

A. E. Dorokhov, E. A. Kuraev, Yu. M. Bystritskiy, M. Secanský

摘要:

我们重新考虑QED辐射修正(RC)的$π^{0}\to e^{+}e^{-}$衰变宽度。早先研究的一种RC具有重整化群起源,并且可以与电子和正电子的末态相互作用联系起来。它决定了轻子对不变质量在整个运动学区域的分布。另一类RC具有双对数特性,与轻子形状因子的几乎无质量壳行为有关。RC对$π^{0}\to e^{+}e^{-}$衰变的总效应估计为3.2%,对$η\to e^{+}e^{-}$衰变的总效应估计为4.3%。

英文摘要:

We reconsider QED radiative corrections (RC) to the $π^{0}\to e^{+}e^{-}$ 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 $π^{0}\to e^{+}e^{-}$ decay is estimated to be 3.2% and for the decay $η\to e^{+}e^{-}$ is 4.3%.

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