The leading hadronic vacuum polarization contribution to the muon anomalous magnetic moment using $N_f = 2+1$ O(a) improved Wilson quarks

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2019-11-12 DOI:10.22323/1.363.0110

A. G'erardin, M. Cè, G. Hippel, Ben Horz, H. Meyer, D. Mohler, K. Ottnad, J. Wilhelm, H. Wittig

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引用次数: 1

Abstract

We present a lattice calculation of the leading hadronic contribution to the anomalous magnetic moment of the muon. This work is based on a subset of the CLS ensembles with $N_f = 2+1$ dynamical quarks and a quenched charm quark. Noise reduction techniques are used to improve significantly the statistical precision of the dominant light quark contribution. The main source of systematic error comes from finite size effects which are estimated using the formalism described in Ref. [7] and based on our knowledge of the timelike pion form factor. The strange and charm quark contributions are under control and an estimate of the quark-disconnected contribution is included. Isospin breaking effects will be studied in a future publication but are included in the systematic error using an estimate based on published lattice results. Our final result, $a_\mu^{\rm hvp} = (720.0\pm 12.4 \pm 6.8)\times 10^{-10}$, has a precision of about 2%.

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利用$N_f = 2+1$ O(a)改进了威尔逊夸克，得到了主导强子真空极化对μ子异常磁矩的贡献

我们提出了对μ子异常磁矩的主导强子贡献的晶格计算。本工作是基于具有$N_f = 2+1$动态夸克和一个淬灭粲夸克的CLS系综的子集。采用降噪技术显著提高了显性光夸克贡献的统计精度。系统误差的主要来源来自有限尺寸效应，这些效应是使用参考文献[7]中描述的形式主义估计的，并基于我们对类时介子形式因子的了解。奇异夸克和粲夸克的贡献得到了控制，并且包括了夸克非连通贡献的估计。同位旋断裂效应将在未来的出版物中进行研究，但使用基于已发表的晶格结果的估计包含在系统误差中。我们的最终结果$a_\mu^{\rm hvp} = (720.0\pm 12.4 \pm 6.8)\乘以10^{-10}$，精度约为2%。

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Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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