由两个光-光散射图形成的八阶极化函数及其对十阶电子g-2的贡献
Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-2
摘要：
本文计算了六个十阶费曼图对电子反常磁矩的贡献，这些费曼图包含由三个光子连接的两个光-光散射图所形成的八阶真空极化函数。积分由两种不同的方法构造。在第一种方法中，减计数器项用于处理紫外（UV）奇异性以及规范不变性的要求。在第二种方法中，Ward-Takahashi恒等式应用于逐光散射振幅以消除UV奇异性。数值计算结果表明，这两种方法在数值不确定性范围内是一致的。将这两个结果统计地结合起来，再加上μ子和/或τ轻子的小贡献，我们得到了$ 0.000 399 9 (18) (α/π)^5$ .我们还评估了贡献的μ子$g-2$从同一组图，并发现$ -1.263 44 (14) (α/π)^5$。
英文摘要：
We have evaluated the contribution to the anomalous magnetic moment of the electron from six tenth-order Feynman diagrams which contain eighth-order vacuum-polarization function formed by two light-by-light scattering diagrams connected by three photons. The integrals are constructed by two different methods. In the first method the subtractive counter terms are used to deal with ultraviolet (UV) singularities together with the requirement of gauge-invariance. In the second method, the Ward-Takahashi identity is applied to the light-by-light scattering amplitudes to eliminate UV singularities. Numerical evaluation confirms that the two methods are consistent with each other within their numerical uncertainties. Combining the two results statistically and adding small contribution from the muons and/or tau leptons, we obtain $ 0.000 399 9 (18) (α/π)^5$. We also evaluated the contribution to the muon $g-2$ from the same set of diagrams and found $ -1.263 44 (14) (α/π)^5$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
