Precision Calculation of QED contributions to Muon Anomalous Magnetic Moment

用微扰理论计算了轻子异常磁矩（g-2）的QED贡献。我们得到了μ子和电子异常磁矩的8^< >阶贡献。结合最新的电子g-2值测量，我们公布了最精确的精细结构常数值。与未来的实验相比，10^< >阶对μ子和电子的贡献也很重要。10^< >阶电子g-2有12672张费曼图。此外，每个图由超过80,000行被积线组成。为了不犯错误地进行如此庞大的计算，我们必须依靠自动化方法。我们已经开发了一种计算机算法，使我们能够以任何顺序生成g-2的重归一化幅度。利用它，我们编写了一个计算机代码，其输出可以用于数值计算。紫外散度被重整化项抵消，而红外散度由有限光子质量控制。数值评估现在正在RIKEN的RSCC PC集群系统上进行。

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.