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arXiv 2305.04570hep-lathep-ph
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π⁰、η 和 η′ 跃迁形状因子的格点计算以及强子光-by-光散射对缪子 g-2 的贡献

Lattice calculation of the $π^0$, $η$ and $η^{\prime}$ transition form factors and the hadronic light-by-light contribution to the muon $g-2$

Antoine Gérardin, Willem E. A. Verplanke, Gen Wang, Zoltan Fodor, Jana N. Guenther, Laurent Lellouch, Kalman K. Szabo, Lukas Varnhorst

AI总结:

本文首次用物理轻夸克质量从头计算了 π⁰、η 和 η′ 跃迁形状因子,并利用其参数化计算了缪子 g-2 中强子光-by-光散射的赝标量极点贡献,结果为 (85.1 ± 5.2) × 10^{-11},其中 η 和 η′ 贡献约占一半。

摘要:

本文首次利用物理轻夸克质量进行了 π⁰、η 和 η′ 跃迁形状因子的从头计算。我们提供了包含单虚和双虚运动学的形状因子的完整参数化。我们的结果与类空区域的形状因子实验测量以及测量的双光子衰变宽度进行了比较。在第二步中,我们使用跃迁形状因子的参数化来计算缪子 g-2 中强子光-by-光散射的主要赝标量极点贡献。我们的最终结果为 a_μ^{hlbl, ps-pole} = (85.1 ± 5.2) × 10^{-11}。尽管 pion 极点占主导地位,我们确认 η 和 η′ 一起提供了其贡献的大约一半。

英文摘要:

In this paper we present a first ab-initio calculation of the $π^0$, $η$ and $η^{\prime}$ transition form factors performed with physical light-quark masses. We provide a complete parametrization of the form factors that includes both single and double-virtual kinematics. Our results are compared with experimental measurements of the form factors in the space-like region and with the measured two-photon decay widths. In a second step, our parametrizations of the transition form factors are used to compute the dominant pseudoscalar-pole contributions to the hadronic light-by-light scattering in the muon $g-2$. Our final result reads $a_μ^{\rm hlbl, ps-pole} = (85.1 \pm 5.2) \times 10^{-11}$. Although the pion-pole is dominant, we confirm that, together, the $η$ and $η^{\prime}$ provide roughly half of its contribution.

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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