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arXiv 1111.0990hep-phnucl-th
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强子对μ子g-2的贡献:Dyson-Schwinger观点

Hadronic contribution to the muon g-2: a Dyson-Schwinger perspective

Tobias Goecke, Christian S. Fischer, Richard Williams

摘要:

我们总结了强子对μ子反常磁矩($a_μ$)的贡献,强子真空极化(HVP)和光-光散射贡献(LBL)的结果,这些结果是从QCD的Dyson-Schwinger方程(DSE)得到的。在HVP的情况下,我们发现良好的协议与模型无关的测定从色散关系的$a_μ^\mathrm{HVP}$以及阿德勒功能的偏差远低于百分之十的水平。由此我们得出结论,DSE方法应该能够以类似的精度描述$a_μ^\mathrm{LBL}$。我们还提出了使用夸克反夸克T-矩阵的共振展开的LBL的结果。我们的初始值为$a_μ^\mathrm{LBL}=(217 \pm 91) \times 10^{-11}$。

英文摘要:

We summarize our results for hadronic contributions to the anomalous magnetic moment of the muon ($a_μ$), the one from hadronic vacuum-polarisation (HVP) and the light-by-light scattering contribution (LBL), obtained from the Dyson-Schwinger equations (DSE's) of QCD. In the case of HVP we find good agreement with model independent determinations from dispersion relations for $a_μ^\mathrm{HVP}$ as well as for the Adler function with deviations well below the ten percent level. From this we conclude that the DSE approach should be capable of describing $a_μ^\mathrm{LBL}$ with similar accuracy. We also present results for LBL using a resonance expansion of the quark anti-quark T-matrix. Our preliminary value is $a_μ^\mathrm{LBL}=(217 \pm 91) \times 10^{-11}$.

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