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arXiv 2409.10503hep-phhep-exhep-lat
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共振手征理论中改进的 $π^0,η,η^{\prime}$ 跃迁形状因子及其 $a_μ^{\rm{HLbL}}$ 贡献

Improved $π^0,η,η^{\prime}$ transition form factors in resonance chiral theory and their $a_μ^{\rm{HLbL}}$ contribution

Emilio J. Estrada, Sergi Gonzàlez-Solís, Adolfo Guevara, Pablo Roig

AI总结:

该研究基于共振手征理论并结合格点数据,同时拟合单虚和双虚 $π^0,η,η'$ 跃迁形状因子,改进了 $η$、$η'$ 描述并给出其对缪子 $g-2$ 强子光光散射贡献的新极点估计。

摘要:

在共振手征理论(Resonance Chiral Theory)框架下,我们采用两个共振多重态的饱和方案,满足领头阶(以及部分次领头阶)手征和渐近QCD约束,并对单虚和双虚情形下的 $π^{0},η,η^{\prime}$ 跃迁形状因子进行精确的同时拟合。对于双虚情形,我们用格点数据补充为数不多的现有测量结果,以确保描述的可靠性。主要得益于双虚情形的新结果,我们改进了对 $η$ 和 $η^{\prime}$ 的现有描述。我们对缪子 $g-2$ 的强子光光散射部分相应极点贡献的评估为:$a_μ^{π^{0}\text{-}\rm{pole}}=\left(61.9\pm0.6^{+2.4}_{-1.5}\right)\times10^{-11}$,$a_μ^{η\text{-}\rm{pole}}=\left(15.2\pm0.5^{+1.1}_{-0.8}\right)\times10^{-11}$,以及 $a_μ^{η^{\prime}\text{-}\rm{pole}}=\left(14.2\pm0.7^{+1.4}_{-0.9}\right)\times10^{-11}$;总计 $a_μ^{π^0+η+η^{\prime}\text{-}\rm{pole}}=\left(91.3\pm1.0^{+3.0}_{-1.9}\right)\times10^{-11}$,其中第一和第二个误差分别为统计不确定度和系统不确定度。

英文摘要:

Working with Resonance Chiral Theory, within the two resonance multiplets saturation scheme, we satisfy leading (and some subleading) chiral and asymptotic QCD constraints and accurately fit simultaneously the $π^{0},η,η^{\prime}$ transition form factors, for single and double virtuality. In the latter case, we supplement the few available measurements with lattice data to ensure a faithful description. Mainly due to the new results for the doubly virtual case, we improve over existing descriptions for the $η$ and $η^\prime$. Our evaluation of the corresponding pole contributions to the hadronic light-by-light piece of the muon $g-2$ read: $a_μ^{π^{0}\text{-}\rm{pole}}=\left(61.9\pm0.6^{+2.4}_{-1.5}\right)\times10^{-11}$, $a_μ^{η\text{-}\rm{pole}}=\left(15.2\pm0.5^{+1.1}_{-0.8}\right)\times10^{-11}$ and $a_μ^{η^\prime\text{-}\rm{pole}}=\left(14.2\pm0.7^{+1.4}_{-0.9}\right)\times10^{-11}$, for a total of $a_μ^{π^0+η+η^{\prime}\text{-}\rm{pole}}=\left(91.3\pm1.0^{+3.0}_{-1.9}\right)\times10^{-11}$, where the first and second errors are the statistical and systematic uncertainties, respectively.

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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