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arXiv 1602.02785hep-ph
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电子对μ子反常磁矩的贡献

Electron contribution to the muon anomalous magnetic moment at four loops

Alexander Kurz, Tao Liu, Peter Marquard, Alexander Smirnov, Vladimir Smirnov, Matthias Steinhauser

摘要:

我们给出了QED对含闭合电子环的μ子反常磁矩的贡献。主要的焦点是在四圈顺序的外部光子耦合到外部μ子的微扰校正。此外,所有的四个回路的贡献,同时涉及一个封闭的电子和τ环计算。结合我们最近的逐光型修正结果(见参考文献\cite{Kurz:2015bia}),用独立的计算得到了μ子反常磁矩的完整的四圈电子环贡献。我们的计算是基于电子和μ子质量的比率的渐近展开,并显示了高阶项在这个比率中的重要性。我们与文献中的结果进行了详细的比较,发现良好的数值协议。作为一个副产品,我们提出了解析结果的壳层上μ介子质量和波函数重整化常数在三圈的顺序,包括大量的封闭电子和τ环,我们也计算使用的渐近展开的方法。

英文摘要:

We present results for the QED contributions to the anomalous magnetic moment of the muon containing closed electron loops. The main focus is on perturbative corrections at four-loop order where the external photon couples to the external muon. Furthermore, all four-loop contributions involving simultaneously a closed electron and tau loop are computed. In combination with our recent results on the light-by-light-type corrections (see Ref. \cite{Kurz:2015bia}) the complete four-loop electron-loop contribution to the anomalous magnetic moment of the muon has been obtained with an independent calculation. Our calculation is based on an asymptotic expansion in the ratio of the electron and the muon mass and shows the importance of higher order terms in this ratio. We perform a detailed comparison with results available in the literature and find good numerical agreement. As a by-product we present analytic results for the on-shell muon mass and wave function renormalization constants at three-loop order including massive closed electron and tau loops, which we also calculated using the method of asymptotic expansion.

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