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arXiv 1706.05293hep-lat
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介子质量和强子真空极化的同位旋破缺修正:比较研究

Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study

P. Boyle, V. Gülpers, J. Harrison, A. Jüttner, C. Lehner, A. Portelli, C. T. Sachrajda

摘要:

在探索性研究中,我们计算了$64\times24^3$晶格的强同位旋破缺和对介子质量的QED修正以及强子真空极化,该晶格的反晶格间距为$a^{-1}=1.78$ GeV,同位旋对称π介子质量为$m_π=340$ MeV.我们包括量子电动力学在电淬火设置使用两种不同的方法,随机和微扰的方法。我们发现,领先的强子贡献的μ子的异常磁矩的电磁校正小于$1\%$的上夸克和$0.1\%$的奇怪的夸克,虽然应该注意的是,这是使用非物理轻夸克质量。除了结果本身之外,我们还比较了使用每种方法在相同计算成本下可以达到的精度。对介子的电磁质量分裂也作了这样的比较。

英文摘要:

We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin symmetric pion mass of $m_π=340$ MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than $1\%$ for the up quark and $0.1\%$ for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings.

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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