发表机构
School of Physics, Nanjing University; Institute for Nonperturbative Physics, Nanjing University（南京大学物理学院; 南京大学非微扰物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用连续体施温格函数方法计算中性赝标介子对缪子反常磁矩的极点贡献，总贡献为85.1(0.8)×10⁻¹¹，并指出当前精度仍不优于5%。
AI 中文摘要
连续体施温格函数方法（CSM）被用于提供赝标介子极点贡献——P = π⁰、η、η′、η_c、η_b——对缪子反常磁矩的估计。该分析框架通过对一系列其他介子和核子性质的成功应用进行了基准测试。它采用领先阶的CSM截断，并辅以非阿贝尔反常效应的参数化，以提供对所有完成此类计算所需的赝标-双光子跃迁形状因子的内部一致处理。利用这些形状因子预测，获得以下结果（单位10⁻¹¹）：a_μ^{π⁰} + a_μ^{η} + a_μ^{η′} = 84.3(0.8)——该值低于其他一些当代估计；a_μ^{η_c} = 0.82(0.04)；以及a_μ^{η_b}的值可忽略不计。总贡献为Σ_P a_μ^P = 85.1(0.8)/10¹¹。我们的分析表明，该极点贡献对a_μ的精度仍不优于5%。
英文摘要
Continuum Schwinger function methods\linebreak (CSM) are used to provide estimates of pseudoscalar meson pole contributions - $\mathsf P = π^0$, $η$, $η^\prime$, $η_c$, $η_b$ - to the muon anomalous magnetic moment. The analysis framework is benchmarked via successful applications to an array of other meson and nucleon properties. It uses the leading order CSM truncation, augmented by a parametrisation of non-Abelian anomaly effects, to deliver an internally consistent treatment of all the pseudoscalar--two-photon transition form factors required to complete such a calculation. Employing those form factor predictions, the following results are obtained (units $10^{-11}$): $a_μ^{π^0} + a_μ^η + a_μ^{η^\prime} = 84.3(0.8)$ - a value lower than some other contemporary estimates; $a_μ^{η_c} = 0.82(0.04)$; and a value of $a_μ^{η_b}$ that is negligible. The total contribution is $\sum _{\mathsf P} a_μ^{\mathsf P} = 85.1(0.8) / 10^{11}$. Our analysis suggests that this pole contribution to $a_μ$ is still not known with precision better than 5\%.
Comments19 pages, 13 figures, 3 tables
