Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level

Volkov S. A.

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Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level

机译：QED中异常电子磁矩的减法程序及其在三环水平数值计算中的应用

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A new subtractive procedure for canceling ultraviolet and infrared divergences in the Feynman integrals described here is developed for calculating QED corrections to the electron anomalous magnetic moment. The procedure formulated in the form of a forest expression with linear operators applied to Feynman amplitudes of UV-diverging subgraphs makes it possible to represent the contribution of each Feynman graph containing only electron and photon propagators in the form of a converging integral with respect to Feynman parameters. The application of the developed method for numerical calculation of two- and threeloop contributions is described.

机译：开发了一种用于消除此处描述的费曼积分中的紫外线和红外线发散的新减法程序，用于计算对电子异常磁矩的QED校正。以森林表达式的形式制定的程序，其中线性算子应用于UV发散子图的Feynman幅值，使得可以表示每个仅包含电子和光子传播子的Feynman图的贡献，其形式为相对于Feynman的会聚积分参数。描述了所开发的方法在二回路和三回路贡献数值计算中的应用。

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《Journal of Experimental and Theoretical Physics》 |2016年第6期|共24页
作者
Volkov S. A.;
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正文语种 eng
中图分类理论物理学;
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1. Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level [J] . Volkov S. A. Journal of Experimental and Theoretical Physics . 2016,第6期

机译：QED中异常电子磁矩的减法程序及其在三环水平数值计算中的应用
2. Numerical calculation of high-order QED contributions to the electron anomalous magnetic moment [J] . Sergey Volkov Physical review, D . 2018,第7期

机译：高阶QED对电子异常磁矩贡献的数值计算
3. The muon anomalous magnetic moment in QED: three-loop electron and tau contributions [J] . Andrzej Czarnecki, Maciej Skrzypek Physics Letters, B. Nuclear Physics and High Energy Physics . 1999,第3a4期

机译：QED中的μ子磁矩异常：三环电子和tau贡献
4. MAGNETIC FIELD GENERATION IN DENSE GAS OF MASSIVE ELECTRONS WITH ANOMALOUS MAGNETIC MOMENTS ELECTROWEAKLY INTERACTING WITH BACKGROUND MATTER [C] . Maxim Dvornikov Lomonosov Conference on Elementary Particle Physics . 2019

机译：大规模电子致密气体的磁场产生，具有电向背景下的异常磁矩。与背景相关信息相互作用
5. A nonperturbative calculation of the electron's anomalous magnetic moment. [D] . Chabysheva, Sophia S. 2009

机译：电子异常磁矩的非摄动计算。
6. Transmission electron microscopy/electron energy loss spectroscopy measurements and ab initio calculation of local magnetic moments at nickel grain boundaries [O] . Kyosuke Hirayama, Seiichiro Ii, Sadahiro Tsurekawa 2014

机译：透射电子显微镜/电子能量损失谱测量和镍晶界处局部磁矩的从头计算
7. Subtraction Procedure for Calculation of Anomalous Magnetic Moment of Electron in QED and its Application to Numerical Computation at 3-loop Level [O] . Volkov, Sergey 2017

机译：计算磁场异常磁矩的减法程序 QED中的电子及其在三环水平数值计算中的应用

Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level

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