Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams
Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams
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十阶 QED 对轻子反常磁矩的贡献 - 包含六阶真空极化子图的四阶顶点
DOI：
10.1103/physrevd.83.053002
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发表时间：
2011
影响因子：
5
通讯作者：
M. Nio
中科院分区：
文献类型：
--
作者：
T. Aoyama;M. Hayakawa;T. Kinoshita;M. Nio
本文报道了由36个Feynman图和180个Feynman图组成的规范不变集II(C)和集II(D)对g-2的十阶贡献。这两组都是通过在四阶反常磁矩中插入六阶真空极化图而得到的。组II(C)和组II(D)的质量独立贡献分别为-0.116 489(32)({α}/{pi}){sup 5}和-0.243 00(29)({α}/{pi}){sup 5}。组II(C)和组II(D)的主要贡献分别为-3.888 27(90)({α}/{pi}){sup 5}和0.4972(65)({α}/{pi}){sup 5}。对于集合II(C)和集合II(D)，电子、µ子和轻子环对{sube}的总贡献分别为-0.116 874(32)({α}/{pi}){sup 5}和-0.243 10(29)({α}/{pi}){sup 5}。对于集合II(C)和集合II(D)，电子、µ子和轻子圈对{sub{u}}的贡献分别为-5.5594(11)({α}/{pi}){sup 5}和0.2465(65)({α}/{pi}){sup 5}。
This paper reports the tenth-order contributions to the g-2 of the electron a{sub e} and those of the muon a{sub {mu}} from the gauge-invariant Set II(c), which consists of 36 Feynman diagrams, and Set II(d), which consists of 180 Feynman diagrams. Both sets are obtained by insertion of sixth-order vacuum-polarization diagrams in the fourth-order anomalous magnetic moment. The mass-independent contributions from Set II(c) and Set II(d) are -0.116 489 (32)({alpha}/{pi}){sup 5} and -0.243 00 (29)({alpha}/{pi}){sup 5}, respectively. The leading contributions to a{sub {mu}}, which involve electron loops only, are -3.888 27 (90)({alpha}/{pi}){sup 5} and 0.4972 (65)({alpha}/{pi}){sup 5} for Set II(c) and Set II(d), respectively. The total contributions of the electron, muon, and tau-lepton loops to a{sub e} are -0.116 874 (32)({alpha}/{pi}){sup 5} for the Set II(c), and -0.243 10 (29)({alpha}/{pi}){sup 5} for the Set II(d), respectively. The contributions of the electron, muon, and tau-lepton loop to a{sub {mu}} are -5.5594 (11)({alpha}/{pi}){sup 5} for the Set II(c) and 0.2465 (65)({alpha}/{pi}){sup 5} for the Set II(d), respectively.