We report the first result for the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment with all errors systematically controlled. Several ensembles using 2+1 flavors of physical mass Möbius domain-wall fermions, generated by the RBC and UKQCD collaborations, are employed to take the continuum and infinite volume limits of finite volume lattice QED+QCD. We find a_{μ}^{HLbL}=7.87(3.06)_{stat}(1.77)_{sys}×10^{-10}. Our value is consistent with previous model results and leaves little room for this notoriously difficult hadronic contribution to explain the difference between the standard model and the BNL experiment.

中文翻译：

---

强子逐光散射对莱迪思QCD的Muon异常磁矩的贡献。

我们报告了强子光对光子对磁子异常磁矩的贡献的第一个结果，并且系统地控制了所有误差。由RBC和UKQCD合作产生的使用2 + 1种物理质量Möbius畴壁费米子的合奏，采用有限体积点阵QED + QCD的连续和无限体积极限。我们发现a_ {μ} ^ {HLbL} = 7.87（3.06）_ {stat}（1.77）_ {sys}×10 ^ {-10}。我们的值与先前的模型结果一致，并且对于解释这个标准模型与BNL实验之间的差异而产生的如此困难的强子贡献几乎没有余地。