论文标题
$a_μ$和$α_{QED} $之间的相关性对EW FIT的影响
Impact of correlations between $a_μ$ and $α_{QED}$ on the EW fit
论文作者
论文摘要
我们研究了由于使用测量的Hadronic Pastra或lattratice QCD评估的HADOMENOLOGION EXPERSENTARS（基于HADOMENOLOGION EXPERSENTERS）基于HADOMENOLOGION EXPERSENTARS，对MUON（$a_μ$）的异常磁矩（$a_μ$）的当前确定（HVP）贡献了当前的测定（HVP）贡献的潜在影响。还研究了基于HVP的现象学计算的实验测量与总理论预测之间的当前张力的影响。在研究中考虑了$A_μ$的理论预测的不确定性与$α_{QED} $的运行的不确定性之间的相关性。我们得出的结论是，在涉及全球HVP贡献的全球变化的不可能的情况下，对EW拟合的影响可能很大，而如果转移仅限于质量范围较低，并且/或如果通过适当使用相关的$a_μ$获得$α_{qed} $的变化，则它会小得多。实际上，后一种情况仅表示EW拟合的$χ^2/n.d.f. $最大增加2.6/16，而所得拟合参数值的更改相对较小。
We study the potential impact on the electroweak (EW) fits due to the tensions between the current determinations of the hadronic vacuum polarisation (HVP) contributions to the anomalous magnetic moment of the muon ($a_μ$), based on either phenomenological dispersion integrals using measured hadronic spectra or on Lattice QCD calculations. The impact of the current tension between the experimental measurement of $a_μ$ and the total theoretical prediction based on the phenomenological calculations of the HVP are also studied. The correlations between the uncertainties of the theoretical predictions of $a_μ$ and of the running of $α_{QED}$ are taken into account in the studies. We conclude that the impact on the EW fit can be large in improbable scenarios involving global shifts of the full HVP contribution, while it is much smaller if the shift is restricted to a lower mass range and/or if the shift in $α_{QED}$ is obtained from that in $a_μ$ through appropriate use of the correlations. Indeed, the latter scenarios only imply at most a 2.6/16 increase in the $χ^2/n.d.f.$ of the EW fits and relatively small changes for the resulting fit parameter values.
