十阶QED对轻子反常磁矩的贡献--含六阶极化子图的四阶顶点
Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams
摘要：
本文报道了由36个费曼图组成的规范不变集II（c）和由180个费曼图组成的规范不变集II（d）中电子a_e和μ子a_μ对g-2的十阶贡献。这两组都是通过将六阶真空极化图插入四阶异常磁矩中获得的。来自集合II（c）和集合II（d）的与质量无关的贡献分别为-0.116 489（32）（α/π）^[5]和-0.243 00（29）（α/π）^[5]。对a_mu的主要贡献（只涉及电子环），在集合II（c）和集合II（d）中分别为-3.888 27（90）（α/π）^[5]和0.4972（65）（α/π）^[5]。电子、μ子和τ轻子环对a_e的总贡献在集合II（c）中为-0.116 874（32）（α/π）^[5]，在集合II（d）中为-0.243 10（29）（α/π）^[5]。对于集合II（c），电子、μ子和τ轻子环对a_μ的贡献为-5.5594（11）（α/π）^5，对于集合II（d），为0.2465（65）（α/π）^5。
英文摘要：
This paper reports the tenth-order contributions to the g-2 of the electron a_e and those of the muon a_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)^5 and -0.243 00 (29)(alpha/pi)^5, respectively. The leading contributions to a_mu, which involve electron loops only, are -3.888 27 (90)(alpha/pi)^5 and 0.4972 (65)(alpha/pi)^5 for Set II(c) and Set II(d), respectively. The total contributions of the electron, muon, and tau-lepton loops to a_e are -0.116 874 (32) (alpha/pi)^5 for Set II(c) and -0.243 10 (29) (alpha/pi)^5 for Set II(d). The contributions of electron, muon, and tau-lepton loops to a_mu are -5.5594 (11) (alpha/pi)^5 for Set II(c) and 0.2465 (65) (alpha/pi)^5 for Set II(d).
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