Automated calculation scheme for αn contributions of QED to lepton g -: 2:: New treatment of infrared divergence for diagrams without lepton loops

被引：27

作者：

Aoyama, T. ^{[1
]}

Hayakawa, M. ^{[2
]}

Kinoshita, T. ^{[3
]}

Nio, M. ^{[4
]}

机构：

[1] High Energy Accelerator Res Org, KEK, Inst Particle & Nucl Studies, Tsukuba, Ibaraki 3050801, Japan

[2] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan

[3] Cornell Univ, Lab Elementary Particle Phys, Ithaca, NY 14853 USA

[4] RIKEN, Theoret Phys Lab, Wako, Saitama 3510198, Japan

来源：

NUCLEAR PHYSICS B | 2008年 / 796卷 / 1-2期

基金：

日本学术振兴会; 美国国家科学基金会;

关键词：

anomalous magnetic moment; QED radiative correction; automated calculation;

D O I：

10.1016/j.nuclphysb.2007.12.013

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We have developed an efficient algorithm for the subtraction of infrared divergences that arise in the evaluation of QED corrections to the anomalous magnetic moment of lepton (g - 2). By incorporating this new algorithm, we have extended the automated code-generating system developed previously to deal with diagrams without internal lepton loops (called q-type), which produced convergent integrals when applied to diagrams that have only ultraviolet-divergent subdiagrams of vertex type. The new system produces finite integrals for all q-type diagrams, including those that contain self-energy subdiagrams and thus exhibit infrared-divergent behavior. We have thus far verified the system for the sixth- and eighth-order cases. We are now evaluating 6354 vertex diagrams of q-type that contribute to the tenth-order lepton g - 2. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：184 / 210

页数：27

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