The analytical value of the electron (g-2) at order alpha(3) in QED

被引：374

作者：

Laporta, S ^{[1
]}

Remiddi, E ^{[1
]}

机构：

[1] IST NAZL FIS NUCL,SEZ BOLOGNA,I-40126 BOLOGNA,ITALY

来源：

PHYSICS LETTERS B | 1996年 / 379卷 / 1-4期

关键词：

Analytical evaluation of 3-loop radiative corrections; Anomalous magnetic moment of the electron; Quantum electrodynamics;

D O I：

10.1016/0370-2693(96)00439-X

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We have evaluated in closed analytical form the contribution of the three-loop non-planar ''triple-cross'' diagrams contributing to the electron (g-2) in QED; its value, omitting the already known infrared divergent part, is a(e)(3-cross)=1/2 pi(2) zeta(3)-55/12 zeta(5)-16/135 pi(4)+32/3(a(4)+1/24ln(4)2)+14/9 pi(2)2-1/3 zeta(3)+23/3 pi(2)ln2-47/9 pi(2)-47/9 pi(2)-113/48. This completes the analytical evaluation of the (g-2) at order alpha(3), giving a(e)(3-loop)=(a/pi)(3){83/72 pi(2) zeta(3)-215/24 zeta(5)+100/3[(a(4)+1/24ln(4)2)-1/24 pi(2)ln(2)2]-239/2160 pi(4)+139/18 zeta(3)-298/9 pi(2)ln2+17101/810 pi(2)+28259/5184}=(a/pi)(3)(1.181241456...).

引用

页码：283 / 291

页数：9