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arXiv 2004.06127hep-phhep-exhep-latnucl-th
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介子跃迁形状因子的渐近行为

Asymptotic behavior of meson transition form factors

Martin Hoferichter, Peter Stoffer

摘要:

在评价强子光-光散射对μ子$(g-2)_μ$反常磁矩的贡献时,一个悬而未决的问题涉及到较重标量、轴矢量和张量-介子中间态的作用。对于小的虚量,轴向矢量与虚光子的耦合被朗道-杨定理抑制,但除此之外,对相应的形状因子几乎没有严格的约束。在本文中,我们首先推导出的洛伦兹分解的双光子矩阵元素的标量函数以下的一般配方由Barcadian,Tung,和Tarrach。在此基础上,我们利用Brodsky和Lepage导出的赝标跃迁形状因子的渐近极限,从光锥展开的角度计算了介子跃迁形状因子的渐近行为.最后,我们将我们的结果与现有数据以及文献中采用的先前模型进行比较。

英文摘要:

One of the open issues in evaluations of the contribution from hadronic light-by-light scattering to the anomalous magnetic moment of the muon $(g-2)_μ$ concerns the role of heavier scalar, axial-vector, and tensor-meson intermediate states. The coupling of axial vectors to virtual photons is suppressed for small virtualities by the Landau-Yang theorem, but otherwise there are few rigorous constraints on the corresponding form factors. In this paper, we first derive the Lorentz decomposition of the two-photon matrix elements into scalar functions following the general recipe by Bardeen, Tung, and Tarrach. Based on this decomposition, we then calculate the asymptotic behavior of the meson transition form factors from a light-cone expansion in analogy to the asymptotic limits for the pseudoscalar transition form factor derived by Brodsky and Lepage. Finally, we compare our results to existing data as well as previous models employed in the literature.

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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