In this paper, we discuss how windows in Euclidean time can be used to isolate the origin of potential conflicts between evaluations of the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon in lattice QCD and from $e^{+}{e}^{-}\to \text{hadrons}$ cross-section data. We provide phenomenological comparison numbers evaluated from $e^{+}{e}^{-}\to \text{hadrons}$ data for the window quantities most commonly studied in lattice QCD, complete with the correlations among them. We discuss and evaluate modifications of window parameters that could be useful in dissecting the energy dependence of tensions in the HVP integral and emphasize that further optimizations require a precise knowledge of the full covariance matrix in lattice-QCD calculations as well.

在本文中，我们讨论了如何使用欧几里得时间窗口来隔离在评估强子真空极化 (HVP) 对晶格 QCD 中 μ 子异常磁矩的贡献之间的潜在冲突的起源，以及从$e^{+}{e}^{-}\to \text{强子}$横截面数据。我们提供从评估的现象学比较数字$e^{+}{e}^{-}\to \text{强子}$晶格 QCD 中最常研究的窗口量的数据，以及它们之间的相关性。我们讨论和评估窗口参数的修改，这些修改可能有助于剖析 HVP 积分中张力的能量依赖性，并强调进一步的优化还需要精确了解晶格-QCD 计算中的完整协方差矩阵。