Hoferichter Martin, Teubner Thomas
Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland.
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom.
Phys Rev Lett. 2022 Mar 18;128(11):112002. doi: 10.1103/PhysRevLett.128.112002.
Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated including next-to-next-to-leading-order insertions of hadronic vacuum polarization and next-to-leading-order corrections to hadronic light-by-light scattering. This leaves a set of mixed leptonic and hadronic corrections in the form of double-bubble topologies as the only remaining hadronic effect at O(α^{4}). Here, we estimate these contributions by analyzing the respective cuts of the diagrams, suggesting that the impact is limited to ≲1×10^{-11} and thus negligible at the level of the final precision of the Fermilab g-2 experiment.
已对μ子反常磁矩的高阶强子修正进行了评估，其中包括强子真空极化的次下领先阶插入以及强子轻子轻子散射的次领先阶修正。这使得一组双泡拓扑形式的混合轻子和强子修正成为O(α⁴)阶唯一剩余的强子效应。在此，我们通过分析图的相应切割来估计这些贡献，表明其影响限于≲1×10⁻¹¹，因此在费米实验室g-2实验的最终精度水平上可忽略不计。
