论文标题

全息QCD中的轴向矢量过渡形式及其对MUON $ G-2 $的贡献

Axial vector transition form factors in holographic QCD and their contribution to the muon $g-2$

论文作者

Leutgeb, Josef, Rebhan, Anton

论文摘要

尽管在过去几年中,对来自伪级介子交换的HADRONIC光线散射的主要贡献的理论结果已经汇聚,但由于轴向载体介子交换而引起的贡献的各种已发表的估计差异很大。由于已证明全息ADS/QCD模型可以提供相当好的单独和双重虚拟式旋转过渡形式的模型,因此可以很好地繁殖已知的低能数据,以及渐近领先的PQCD行为,因此考虑其对轴向矢量过渡形式因素的预测,这是有意义的。确实,我们发现这些再现也从L3实验中以$ f_1 \toγγ^*$进行了非常好的数据。包括ADS/QCD型号的轴向矢量介子的完整无限塔,我们还表明,可以满足Melnikov-Vainshtein短途限制,而几乎所有现有的HADRONIC LIGHT-LING LING-LIFT-LING MITHING散射模型都无法掺入它。 $ G-2 $的贡献是由前几个共鸣所主导的,事实证明,这比以前估计的要大得多。

Whereas the theoretical results for the dominant contributions to hadronic light-by-light scattering coming from pseudoscalar meson exchange have converged over the past years, the various published estimates of the contribution due to axial vector meson exchange differ wildly. Since holographic AdS/QCD models have proved to provide rather good models of singly and doubly virtual pion transition form factors, which reproduce remarkably well the known low-energy data and also the asymptotic leading-order pQCD behavior, it is of interest to consider their predictions for axial vector transition form factors. Indeed, we find that these reproduce also very well existing data from the L3 experiment for $f_1\toγγ^*$. Including the full infinite tower of axial vector mesons of the AdS/QCD models we moreover show that the Melnikov-Vainshtein short-distance constraint can be satisfied, while almost all existing models for hadronic light-by-light scattering fail to incorporate it. The contribution to $g-2$, which is dominated by the first few resonances, turns out to be significantly larger than estimated previously.

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