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arXiv 2007.12467hep-phhep-exnucl-th
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半轻子衰变$η^{(\prime)}\toπ^0l^+l^-$和$η^\prime\toηl^+l^-$的理论分析

A theoretical analysis of the semileptonic decays $η^{(\prime)}\toπ^0l^+l^-$ and $η^\prime\toηl^+l^-$

Rafel Escribano, Emilio Royo

备注：
11 pages, 2 figures, 1 table; v2 includes estimated errors coming from the dependence on the model and a detailed explanation of the structure of the $VPγ$ vertex; v3 corrects eqs. (6) and (15), includes discussions on the Feynman integral numerical computations and the use of the energy-dependent width for the $ρ$ propagator, as well as corrected numerical results in Table I and Fig. 2
发表信息：
Eur. Phys. J. C 80, 1190 (2020)
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摘要：

在矢量介子占优（VMD）模型的框架下，对$C$守恒半轻子衰变$η^{(\prime)}\toπ^0l^+l^-$和$η^\prime\toηl^+l^-$（$l=e$或$μ$）进行了完整的理论分析.一个现有的唯象模型被用来参数化VMD耦合常数和相关的数值是从优化拟合$V\to Pγ$和$P\to Vγ$辐射衰变（$V=ρ^0$，$ω$，$ϕ$和$P=π^0$，$η$，$η^{\prime}$）。使用这种方法得到的两个$η\toπ^0l^+l^-$过程的衰变宽度和双轻子能谱进行了比较，发现与其他结果在已发表的文献中有很好的一致性。本文首次计算并给出了四种$η^{\prime}\toπ^0l^+l^-$和$η^\prime\toηl^+l^-$衰变宽度和双轻子能谱的理论预言。

英文摘要：

A complete theoretical analysis of the $C$-conserving semileptonic decays $η^{(\prime)}\toπ^0l^+l^-$ and $η^\prime\toηl^+l^-$ ($l=e$ or $μ$) is carried out within the framework of the Vector Meson Dominance (VMD) model. An existing phenomenological model is used to parametrise the VMD coupling constants and the associated numerical values are obtained from an optimisation fit to $V\to Pγ$ and $P\to Vγ$ radiative decays ($V=ρ^0$, $ω$, $ϕ$ and $P=π^0$, $η$, $η^{\prime}$). The decay widths and dilepton energy spectra for the two $η\toπ^0l^+l^-$ processes obtained using this approach are compared and found to be in good agreement with other results available in the published literature. Theoretical predictions for the four $η^{\prime}\toπ^0l^+l^-$ and $η^\prime\toηl^+l^-$ decay widths and dilepton energy spectra are calculated and presented for the first time in this work.

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