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arXiv 1710.09359hep-lathep-ph
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格点量子色动力学中的前向散射振幅

Light-by-light forward scattering amplitudes in Lattice QCD

Antoine Gerardin, Jeremy Green, Oleksii Gryniuk, Georg von Hippel, Harvey B. Meyer, Vladimir Pascalutsa, Hartmut Wittig

摘要:

本文给出了利用晶格上的矢量四点关联函数计算强子逐光前向散射振幅的初步结果。采用色散方法,前向散射振幅可以用$γ^* γ^* \to$强子熔合截面描述,并与唯象相比较。我们表明,只需要几个国家来重现我们的数据。特别是,在这项研究中考虑的总和规则意味着介子$-γγ$耦合之间的关系,并提供了有价值的信息,个人的形状因子,经常被用来估计介子极的贡献强子光的光的贡献$(g-2)$的μ子。

英文摘要:

We present our preliminary results on the calculation of hadronic light-by-light forward scattering amplitudes using vector four-point correlation functions computed on the lattice. Using a dispersive approach, forward scattering amplitudes can be described by $γ^* γ^* \to$ hadrons fusion cross sections and then compared with phenomenology. We show that only a few states are needed to reproduce our data. In particular, the sum rules considered in this study imply relations between meson$-γγ$ couplings and provide valuable information about individual form factors which are often used to estimate the meson-pole contributions to the hadronic light-by-light contribution to the $(g-2)$ of the muon.

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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