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arXiv 1908.03331hep-ph
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HLbL对μ子反常磁矩贡献的短距离约束

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

Johan Bijnens, Nils Hermansson-Truedsson, Antonio Rodríguez-Sánchez

摘要:

在三个虚动量都很大的运动学区域,我们导出了强子光-光贡献(HLbL)对μ子反常磁矩的短距离约束。我们包括外部软光子通过一个外部领域导致一个定义良好的算子乘积展开。我们建立了微扰夸克圈给出了一个良好定义的膨胀的主要贡献。我们计算第一个非零功率校正。它与QCD真空的磁化率有关。结果可以被用来作为模型独立的短距离约束的非常多的不同方法的HLbL的贡献。数值上的功率校正被发现是小的。

英文摘要:

We derive short-distance constraints for the hadronic light-by-light contribution (HLbL) to the anomalous magnetic moment of the muon in the kinematic region where the three virtual momenta are all large. We include the external soft photon via an external field leading to a well-defined Operator Product Expansion. We establish that the perturbative quark loop gives the leading contribution in a well defined expansion. We compute the first nonzero power correction. It is related to to the magnetic susceptibility of the QCD vacuum. The results can be used as model-independent short-distance constraints for the very many different approaches to the HLbL contribution. Numerically the power correction is found to be small.

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