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基于格点QCD的μ子 $g-2$ 强子真空极化：完整的短程和中程窗口

Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows

Alexei Bazavov, David A. Clarke, Christine Davies, Carleton DeTar, Aida X. El-Khadra, Elvira Gámiz, Steven Gottlieb, Anthony V. Grebe, Leon Hostetler, William I… 展开作者

Alexei Bazavov, David A. Clarke, Christine Davies, Carleton DeTar, Aida X. El-Khadra, Elvira Gámiz, Steven Gottlieb, Anthony V. Grebe, Leon Hostetler, William I. Jay, Hwancheol Jeong, Andreas S. Kronfeld, Shaun Lahert, Jack Laiho, G. Peter Lepage, Michael Lynch, Andrew T. Lytle, Craig McNeile, Ethan T. Neil, Curtis T. Peterson, James N. Simone, Jacob W. Sitison, Ruth S. Van de Water, Alejandro Vaquero

备注：
v3: Updated to reflect published version, which includes minor updates to the prose in Section IV and a correction to the statistical error estimate of a^W_μ. Final results unchanged
发表信息：
Phys. Rev. D 111, 094508 (2024)
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AI总结：

该研究利用格点QCD完整计算μ子反常磁矩HVP的短程与中程窗口贡献，纳入连通、非连通及强同位旋破缺修正，并用Bayesian模型平均处理协方差。

摘要：

我们给出了短程和中程距离窗口区域中强子真空极化（HVP）对μ子反常磁矩 $a_μ$ 贡献的完整结果，这两个区域分别约占HVP对 $a_μ$ 总贡献的10%和35%。具体而言，我们对同位旋对称的连通和非连通贡献，以及由强同位旋破缺引起的修正进行了格点QCD计算。对于短程窗口观测量，我们研究了所谓的对数增强效应以及该区域中与交错夸克相关的显著振荡。对于占主导地位的同位旋对称轻夸克连通贡献，我们得到 $a^{ll,\\,{\mathrm{SD}}}_μ(\mathrm{conn.}) = 48.139(11)_{\mathrm{stat}}(91)_{\mathrm{syst}}[92]_{\mathrm{total}} \times 10^{-10}$，以及 $a^{ll,\\,{\mathrm{W}}}_μ(\mathrm{conn.}) = 206.90(14)_{\mathrm{stat}}(61)_{\mathrm{syst}}[63]_{\mathrm{total}} \times 10^{-10}$。我们使用Bayesian模型平均来充分估计各单项贡献之间的协方差矩阵。我们对完整窗口贡献的测定结果为 $a^{\mathrm{SD}}_μ = 69.05(1)_{\mathrm{stat}}(21)_{\mathrm{syst}}[21]_{\mathrm{total}} \times 10^{-10}$ 和 $a^{\mathrm{W}}_μ = 236.45(17)_{\mathrm{stat}}(83)_{\mathrm{syst}}[85]_{\mathrm{total}} \times 10^{-10}$。本工作是我们持续开展的一项努力的一部分，该努力旨在以千分之几的总体不确定度计算HVP的所有贡献。

英文摘要：

We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment $a_μ$ in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP contribution to $a_μ$, respectively. In particular, we perform lattice-QCD calculations for the isospin-symmetric connected and disconnected contributions, as well as corrections due to strong isospin-breaking. For the short-distance window observables, we investigate the so-called log-enhancement effects as well as the significant oscillations associated with staggered quarks in this region. For the dominant, isospin-symmetric light-quark connected contribution, we obtain $a^{ll,\,{\mathrm{SD}}}_μ(\mathrm{conn.}) = 48.139(11)_{\mathrm{stat}}(91)_{\mathrm{syst}}[92]_{\mathrm{total}} \times 10^{-10}$ and $a^{ll,\,{\mathrm{W}}}_μ(\mathrm{conn.}) = 206.90(14)_{\mathrm{stat}}(61)_{\mathrm{syst}}[63]_{\mathrm{total}} \times 10^{-10}$. We use Bayesian model averaging to fully estimate the covariance matrix between the individual contributions. Our determinations of the complete window contributions are $a^{\mathrm{SD}}_μ = 69.05(1)_{\mathrm{stat}}(21)_{\mathrm{syst}}[21]_{\mathrm{total}} \times 10^{-10}$ and $a^{\mathrm{W}}_μ = 236.45(17)_{\mathrm{stat}}(83)_{\mathrm{syst}}[85]_{\mathrm{total}} \times 10^{-10}$. This work is part of our ongoing effort to compute all contributions to HVP with an overall uncertainty at the few permille level.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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