AI 中文总结
该研究在特定方程框架内对μ子反常磁矩的领头阶强子真空极化贡献进行连续统量子色动力学测定，纳入多种因素，得到相关结果，发现同位旋破缺效应虽小但不可忽略，最终给出包含底夸克贡献及不确定性的结果。
AI 中文摘要
我们在戴森-施温格方程和贝特-萨尔皮特方程框架内，对μ子反常磁矩的领头阶强子真空极化贡献进行了连续统量子色动力学测定。计算纳入了π介子的反作用、在类时区域具有动态生成ρ共振结构的完全着装夸克-光子顶点，以及在夸克层面自洽处理的强同位旋和电磁同位旋破缺。我们得到\(a_μ^{\mathrm{HVP,LO}}(u + d + s + c)|_{\mathrm{ISB}} = 709.7×10^{-10}\)，与近期晶格量子色动力学测定结果吻合良好，并发现同位旋破缺位移\(\Delta a_μ^{\mathrm{HVP,LO}} = 4.5×10^{-10}\)（\(0.6\%\)）。纳入底夸克贡献和系统不确定性的指示性估计后，得到最终结果\(a_μ^{\mathrm{HVP,LO}}(u + d + s + c + b)|_{\mathrm{ISB}} = (710.0 ± 14.5)×10^{-10}\)。
英文摘要
We present a continuum-QCD determination of the leading-order hadronic vacuum-polarization contribution to the anomalous magnetic moment of the muon within the Dyson-Schwinger and Bethe-Salpeter equation framework. The calculation incorporates pion back-reaction, a fully dressed quark-photon vertex with a dynamically generated $ρ$-resonance structure in the timelike region, and both strong and electromagnetic isospin breaking treated self-consistently at the quark level. We obtain $a_μ^{\mathrm{HVP,LO}}(u+d+s+c)|_{\mathrm{ISB}} = 709.7 \times 10^{-10}$, in good agreement with recent lattice-QCD determinations, and find an isospin-breaking shift of $Δa_μ^{\mathrm{HVP,LO}} = 4.5 \times 10^{-10}$ ($0.6\%$), demonstrating that isospin-breaking effects, while quantitatively modest, are not negligible. Including the bottom-quark contribution and an indicative estimate of the systematic uncertainties, we obtain our final result, $a_μ^{\mathrm{HVP,LO}}(u+d+s+c+b)|_{\mathrm{ISB}} = (710.0 \pm 14.5) \times 10^{-10}$.
Comments11 pages, 4 Figures
