Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice
Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice
复制标题
晶格上 μ 子的强子真空极化和 g-2 的与模型无关的参数化
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
S. Peris
中科院分区：
文献类型：
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作者：
C. Aubin;T. Blum;M. Golterman;S. Peris
强子对μ子反常磁矩的主要贡献由强子真空极化的欧几里德动量加权积分给出。这个积分是由μ子质量的动量决定的。由于格点QCD中的有限体积使得很难计算大量具有高统计的低动量的真空极化（结合不能在零动量下计算的事实），因此需要对真空极化进行参数化以外推数据。一个常用的函数形式是基于矢量介子优势，这将模型依赖性引入到磁矩的晶格计算。在这里，我们介绍了一个模型无关的外推方法，并提出了一些第一次测试这种新方法。
The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted integral over euclidean momentum of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since the finite volume in lattice QCD makes it difficult to compute the vacuum polarization at a large number of low momenta with high statistics (combined with the fact that one cannot compute it at zero momentum), a parametrization of the vacuum polarization is required to extrapolate the data. A much used functional form is based on vector meson dominance, which introduces model dependence into the lattice computation of the magnetic moment. Here we introduce a model-independent extrapolation method, and present a few first tests of this new method.