标题： 在格点QCD中缪子磁异常的同位旋破缺修正 显示英文标题

标题： Isospin-breaking corrections to the muon magnetic anomaly in Lattice QCD

摘要： 在本次工作中，我们展示了对μ子反常磁矩的夸克连接强子真空极化（HVP）贡献的领先阶电磁和强相互作用同位旋破缺（IB）修正的格点计算。 结果是在冻结QED近似下采用RM123方法获得的，并使用ETM合作组生成的具有$N_f = 2+1+1$个动力学夸克的QCD规范配置，在三个格点间距（$a \simeq 0.062, 0.082, 0.089$fm）下，多个格点体积以及介子质量在$\simeq 210$和$\simeq 450$MeV之间的数据。 在将结果外推到物理介子质量和连续极限及无限体积极限后，轻夸克、奇异夸克和魅夸克的贡献分别等于$\delta a_\mu^{\rm HVP}(ud) = 7.1 ~ (2.5) \cdot 10^{-10}$、$\delta a_\mu^{\rm HVP}(s) = -0.0053 ~ (33) \cdot 10^{-10}$和$\delta a_\mu^{\rm HVP}(c) = 0.0182 ~ (36) \cdot 10^{-10}$。 在$\alpha_{em}$和$(m_d - m_u) / \Lambda_{QCD}$的主导阶次下，我们得到$\delta a_\mu^{\rm HVP}(udsc) = 7.1 ~ (2.9) \cdot 10^{-10}$，这是目前对$a_\mu^{\rm HVP}$的 IB 修正最精确的确定。 显示英文摘要

摘要： In this contribution we present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking (IB) corrections to the quark-connected hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon. The results are obtained adopting the RM123 approach in the quenched-QED approximation and using the QCD gauge configurations generated by the ETM Collaboration with $N_f = 2+1+1$ dynamical quarks, at three values of the lattice spacing ($a \simeq 0.062, 0.082, 0.089$ fm), at several lattice volumes and with pion masses between $\simeq 210$ and $\simeq 450$ MeV. After the extrapolations to the physical pion mass and to the continuum and infinite-volume limits the contributions of the light, strange and charm quarks are respectively equal to $\delta a_\mu^{\rm HVP}(ud) = 7.1 ~ (2.5) \cdot 10^{-10}$, $\delta a_\mu^{\rm HVP}(s) = -0.0053 ~ (33) \cdot 10^{-10}$ and $\delta a_\mu^{\rm HVP}(c) = 0.0182 ~ (36) \cdot 10^{-10}$. At leading order in $\alpha_{em}$ and $(m_d - m_u) / \Lambda_{QCD}$ we obtain $\delta a_\mu^{\rm HVP}(udsc) = 7.1 ~ (2.9) \cdot 10^{-10}$, which is currently the most accurate determination of the IB corrections to $a_\mu^{\rm HVP}$.