十阶轻子g-2：内部包含六阶光-光散射子图的贡献
Tenth-order lepton g-2: Contribution from diagrams containing a sixth-order light-by-light-scattering subdiagram internally
摘要：
本文报道了我们从费曼图中计算轻子g-2的十阶QED修正的结果，费曼图具有六阶光-光散射子图，其顶点都不与外磁场耦合。这些图的规范不变集，称为集II（e），由180个顶点图组成。在电子g-2（a_e）的情况下，光-光子图由电子环组成，对a_e的贡献为-1.344 9（10）（α/π）^[5]。μ介子环对a_e的贡献为-0.000 465（4）（α/π）^[5]。τ轻子环的贡献比μ子环小两个数量级，因此可以忽略不计。所有这些对a_e的贡献之和为-1.345（1）（α/π）^[5]。我们还计算了集合II（e）对μ子g-2（a_μ）的贡献。电子环对a_μ的贡献为3.265（12）（α/π）^[5]，而τ轻子环的贡献为-0.038 06（13）（α/π）^[5]。对a_μ的总贡献是1.882（13）（α/π）^[5]，它是这两个贡献和a_e中与质量无关的部分的总和。
英文摘要：
This paper reports the result of our evaluation of the tenth-order QED correction to the lepton g-2 from Feynman diagrams which have sixth-order light-by-light-scattering subdiagrams, none of whose vertices couple to the external magnetic field. The gauge-invariant set of these diagrams, called Set II(e), consists of 180 vertex diagrams. In the case of the electron g-2 (a_e), where the light-by-light subdiagram consists of the electron loop, the contribution to a_e is found to be - 1.344 9 (10) (α/π)^5. The contribution of the muon loop to a_e is - 0.000 465 (4) (α/π)^5. The contribution of the tau-lepton loop is about two orders of magnitudes smaller than that of the muon loop and hence negligible. The sum of all of these contributions to a_e is - 1.345 (1) (α/π)^5. We have also evaluated the contribution of Set II(e) to the muon g-2 (a_μ). The contribution to a_μfrom the electron loop is 3.265 (12) (α/π)^5, while the contribution of the tau-lepton loop is -0.038 06 (13) (α/π)^5. The total contribution to a_μ, which is the sum of these two contributions and the mass-independent part of a_e, is 1.882 (13) (α/π)^5.
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