论文标题

$ O(α^3)$重新审视对光子的电子轴杆菌歼灭光子

Electron-positron annihilation to photons at $O(α^3)$ revisited

论文作者

Lee, Roman N.

论文摘要

我们将现代的多旋转方法应用于将电子 - 旋转歼灭的总横截面以$ s/m^2 $恰好用准确性$ O(α^3)$的$ s/m^2 $以2和3光子的计算。研究结果的渐近学,我们发现与参考文献一致。 [andreassi_et_al_1962]并发现参考结果的错误。 [Eidelman&Kuraev_1978,Berends&Kleiss_1981]。这个错误是由于术语造成的,在参考文献中的差分横截面中省略了。 \ [Eidelman&Kuraev_1978,berends&kleiss_1981],它们在运动区域达到峰值,所有三个光子均与碰撞轴平行。恢复这些条款后,我们找到了参考的校正结果的协议。 [Berends&Kleiss_1981]结果。

We apply the modern multiloop methods to the calculation of the total cross sections of electron-positron annihilation to 2 and 3 photons exactly in $s/m^2$ with the accuracy $O(α^3)$. Examining the asymptotics of our results, we find agreement with Ref. [Andreassi_et_al_1962] and discover mistakes in the results of Refs. [Eidelman&Kuraev_1978,Berends&Kleiss_1981]. This mistake is due to the terms, omitted in differential cross section in Refs. \[Eidelman&Kuraev_1978,Berends&Kleiss_1981], which are peaked in the kinematic region with all three photons being quasi-parallel to the collision axis. After restoring these terms, we find an agreement of the corrected result of Ref. [Berends&Kleiss_1981] with our result.

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