Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
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DOI：
10.1103/physrevd.106.074509
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发表时间：
2022-10
影响因子：
5
通讯作者：
C. Davies;C. DeTar;A. El-Khadra;S. Gottlieb;D. Hatton;A. Kronfeld;S. Lahert;G. Lepage;C. McNeile;E. Neil;C. Peterson;G. Ray;R. Van de Water;A. Vaquero
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文献类型：
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作者：
C. Davies;C. DeTar;A. El-Khadra;S. Gottlieb;D. Hatton;A. Kronfeld;S. Lahert;G. Lepage;C. McNeile;E. Neil;C. Peterson;G. Ray;R. Van de Water;A. Vaquero
准确确定首阶强子真空极化（HVP）对μ子异常磁矩的贡献对于理解标准模型预测与费米实验室μ子g-2实验结果之间的任何差异的大小和意义至关重要。标准模型的预测目前是基于一种数据驱动的方法，使用σ <$e <$e − →强子<$e的实验结果来计算HVP。格点QCD的目标是从计算的矢量-矢量相关函数中提供类似的不确定性结果，但是在大欧几里得时间下u=d夸克相关函数中统计和系统误差的增长使得这一点很难实现。我们表明，将晶格贡献限制在单侧窗口0 < t < t 1可以大大改善晶格结果，同时仍然捕获总HVP的大部分。我们通过比较基于2019年Fermilab Lattice/HPQCD/MILC HVP分析的窗口晶格结果与从KNT 19分析R e e −数据获得的相应结果来说明这一点。对于t 1 1/4 1。5 fm时，总HVP的70%包含在窗口内，我们的晶格结果的误差为0.7%，仅为e −分析误差的两倍。我们看到张力为2。两个结果之间的7 σ。随着格点数据中统计量的增加，单侧窗口将允许对格点和R e e −结果进行严格的检验，这些结果包括总HVP贡献的很大一部分。
An accurate determination of the leading-order hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon is critical to understanding the size and significance of any discrepancy between the Standard Model prediction and experimental results being obtained by the Muon g-2 experiment at Fermilab. The Standard Model prediction is currently based on a data-driven approach to the HVP using experimental results for σ ð e þ e − → hadrons Þ . Lattice QCD aims to provide a result with similar uncertainty from calculated vector-vector correlation functions, but the growth of statistical and systematic errors in the u=d quark correlation functions at large Euclidean time has made this difficult to achieve. We show that restricting the lattice contributions to a one-sided window 0 < t < t 1 can greatly improve lattice results while still capturing a large fraction of the total HVP. We illustrate this by comparing windowed lattice results based on the 2019 Fermilab Lattice/HPQCD/MILC HVP analysis with corresponding results obtained from the KNT19 analysis of R e þ e − data. For t 1 ¼ 1 . 5 fm, 70% of the total HVP is contained within the window and our lattice result has an error of 0.7%, only about twice as big as the error from the e þ e − analysis. We see a tension of 2 . 7 σ between the two results. With increased statistics in the lattice data the one-sided windows will allow stringent tests of lattice and R e þ e − results that include a large fraction of the total HVP contribution.