The contribution to the muon anomalous magnetic moment from the fermion triangle loop diagrams connected to the muon line by a photon and a |$Z$| boson is re-analyzed in both the unitary gauge and the ’t Hooft–Feynman gauge. With use of the anomalous axial-vector Ward identity, it is shown that the calculation in the unitary gauge exactly coincides with the one in the ’t Hooft–Feynman gauge. The part which arises from the ordinary axial-vector Ward identity corresponds to the contribution of the neutral Goldstone boson. For the top-quark contribution, the one-parameter integral form is obtained up to the order of |$m_\mu^2/m_Z^2$|⁠. The results are compared with those obtained by the asymptotic expansion method.

中文翻译：

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重新讨论电弱费米子三角环对μ子异常磁矩的影响

由光子和| $ Z $ |连接到μ子线的费米子三角形环图对μ子磁矩的贡献。玻色子在单一量表和't Hooft-Feynman量表中都进行了重新分析。通过使用异常的轴向矢量Ward身份，可以看出，单一量规中的计算与't Hooft-Feynman量规中的计算完全一致。由普通轴向矢量Ward身份引起的部分对应于中性Goldstone玻色子的贡献。对于前夸克贡献，获得的单参数积分形式最高为| $ m_ \ mu ^ 2 / m_Z ^ 2 $ |⁠。将结果与通过渐近展开法获得的结果进行比较。