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arXiv 2302.03312hep-phhep-ex
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通过分析半轻衰变$D^+\to K^-π^+ \ell^+ν_\ell$对强子衰变$D^+\to K^-π^+π^+$与$D_s^+\to K^+K^+π^-$的联合研究

A combined study of hadronic $D^+\to K^-π^+π^+$ and $D_s^+\to K^+K^+π^-$ decays by means of the analysis of semileptonic $D^+\to K^-π^+ \ell^+ν_\ell$ decays

R. Escribano, P. Masjuan, P. Sanchez-Puertas

AI总结:

本研究利用BESIII高统计量数据,通过分析$D^+$半轻衰变,联合研究两类强子衰变,提出基于朴素因子化的振幅参数化方案,发现S波存在三体非因子化效应的迹象,且相关假设得到实验数据支持。

摘要:

我们借助BESIII合作组提供的高统计量数据集,通过对半轻衰变$D^+\to K^-π^+ \ell^+ν_\ell$($\ell=e, μ$)的详细分析,对$D^+\to K^-π^+π^+$和$D_s^+\to K^+K^+π^-$这两类强子衰变开展联合研究。我们为所研究的反应提出了简单适用的振幅参数化方案,这些方案对实验人员开展后续分析具有参考价值。新的参数化方案基于朴素因子化假设,并利用知名的强子形状因子描述所得矩阵元,其中特别关注$Kπ$标量和矢量情形。这类形状因子可解释满足解析性、幺正性和手征对称性约束的两体末态相互作用。研究结果表明,$P$波贡献能很好地契合朴素因子化方法,而$S$波贡献需要复杂的Wilson系数,这暗示可能存在真实的三体非因子化效应。通过检验$D_s^+\to K^+K^+π^-$衰变,我们的假设得到了进一步支持,对该衰变的描述整体上与实验数据吻合良好。

英文摘要:

We perform a combined study of the two hadronic decays $D^+\to K^-π^+π^+$ and $D_s^+\to K^+K^+π^-$ using a detailed analysis of the semileptonic decays $D^+\to K^-π^+ \ell^+ν_\ell$ ($\ell=e, μ$) thanks to the high-statistics dataset provided by the BESIII Collaboration. We propose simple and suitable amplitude parametrizations of the studied reactions that shall be of interest to experimentalists for upcoming analyses. These new parametrizations are based on the naïve factorization hypothesis and the description of the resulting matrix elements in terms of well-known hadronic form factors, with special emphasis on the $Kπ$ scalar and vector cases. Such form factors account for two-body final state interactions which fulfill analyticity, unitarity and chiral symmetry constraints. As a result of our study, we find that the $P$-wave contribution fits nicely within the naïve-factorization approach, whereas the $S$-wave contribution requires complex Wilson coefficients that hint for possibly genuine three-body non-factorizable effects. Our hypothesis is further supported by the examination of $D_s^+\to K^+K^+π^-$ decays, where we achieve a description in overall good agreement with data.

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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