点阵QCD+QED中的轻子反常磁矩

Davide Giusti, S. Simula
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引用次数: 51

摘要

我们提出了强子真空极化(HVP)对电子$a_e^{\rm HVP}$、μ子$a_\mu^{\rm HVP}$和tau $a_\tau^{\rm HVP}$的异常磁矩的贡献的晶格计算,包括同位旋对称QCD项和首阶强和电磁同位旋断裂修正。此外,还提供了MUonE实验未涵盖的对$a_\mu^{\rm HVP}$的贡献$a_{MUonE}^{\rm HVP}$。我们得到$a_e^{\rm HVP} = 185.8~(4.2) \cdot 10^{-14}$$a_\mu^{\rm HVP} = 692.1~(16.3) \cdot 10^{-10}$$a_\tau^{\rm HVP} = 335.9~(6.9) \cdot 10^{-8}$和$a_{MUonE}^{\rm HVP} = 91.6~(2.0) \cdot 10^{-10}$。我们的结果是在猝灭qed近似中得到的,使用由欧洲(现在扩展的)扭曲质量协作体(ETMC)与$N_f=2+1+1$动力学夸克产生的QCD规范组态,晶格间距从$0.089$到$0.062$ fm的三个值,晶格空间大小($L \simeq 1.8 ÷3.5$ fm)的几个值,以及介子质量在$\simeq 220$和$\simeq 490$ MeV之间的范围。
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Lepton anomalous magnetic moments in Lattice QCD+QED
We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution to the anomalous magnetic moments of the electron, $a_e^{\rm HVP}$, the muon, $a_\mu^{\rm HVP}$, and the tau, $a_\tau^{\rm HVP}$, including both the isospin-symmetric QCD term and the leading-order strong and electromagnetic isospin-breaking corrections. Moreover, the contribution to $a_\mu^{\rm HVP}$ not covered by the MUonE experimen, $a_{MUonE}^{\rm HVP}$, is provided. We get $a_e^{\rm HVP} = 185.8~(4.2) \cdot 10^{-14}$, $a_\mu^{\rm HVP} = 692.1~(16.3) \cdot 10^{-10}$, $a_\tau^{\rm HVP} = 335.9~(6.9) \cdot 10^{-8}$ and $a_{MUonE}^{\rm HVP} = 91.6~(2.0) \cdot 10^{-10}$. Our results are obtained in the quenched-QED approximation using the QCD gauge configurations generated by the European (now Extended) Twisted Mass Collaboration (ETMC) with $N_f=2+1+1$ dynamical quarks, at three values of the lattice spacing varying from $0.089$ to $0.062$ fm, at several values of the lattice spatial size ($L \simeq 1.8 ÷3.5$ fm) and with pion masses in the range between $\simeq 220$ and $\simeq 490$ MeV.
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