Precision Calculation of QED contributions to Muon Anomalous Magnetic Moment

用微扰理论计算了QED对轻子反常磁矩g-2的贡献。我们得到<th>了μ子和电子反常磁矩的8^阶贡献。结合最新的电子g-2值测量结果，我们给出了精细结构常数的最精确值，<th>μ子和电子的10^阶贡献对未来的实验也是重要的. 10^<th>阶电子g-2有12672个费曼图。此外，每个图由80，000多行被积函数组成。为了准确无误地进行如此庞大的计算，我们必须依靠自动化方法。我们已经开发了一个计算机算法，使我们能够产生重整化振幅的g-2在任何顺序。使用它，我们制作了一个计算机代码，其输出可以进行数值计算。紫外发散被产生的重整化项抵消，而红外发散则由有限的光子质量控制。RIKEN的RSCC PC Cluster系统正在进行数值评估。

The QED contributions to the lepton anomalous magnetic moments (called g-2) of Lepton have been computed by means of perturbation theory. We obtained the 8^<th>-order contributions to the muon and electron anomalous magnetic moments. Combined with a latest measurement of electron g-2 value, we announced the most precise value of the fine structure constant.The 10^<th>-order contribution is also important for both muon and electron in comparison with future experiments. There are 12672 Feynman diagrams for the 10^<th>-order electron g-2. Moreover each diagrams consists of more than 80,000 lines of integrand. In order to carry out such a gigantic calculation without a mistake, we must rely on the automation method. We have developed a computer algorithm which enables us to generate renormalized amplitude of g-2 in any order. Using it we made a computer code whose outputs are ready to go to numerical evaluation. Ultra Violet divergences are canceled by the renormalization terms generated, while the Infra Red divergences are controlled by a finite photon mass. The numerical evaluation is now going on the RIKEN's RSCC PC Cluster system.