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arXiv 2410.08138hep-phhep-ex
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含$η'$末态的粲介子非轻两体衰变剖析

Anatomy of Non-Leptonic Two-Body Decays of Charmed Mesons into Final States with $η'$

Carolina Bolognani, Ulrich Nierste, Stefan Schacht, K. Keri Vos

AI总结:

本研究针对粲介子含η'末态的非轻两体衰变,提出新颖自洽的η₀–η₈混合处理方案,结合含线性破缺的SU(3)բ对称性开展全局分析,给出各衰变道分支比预言,指出关键测量道对检验对称性破缺的重要性。

摘要:

我们表明,$P=K、π、η$时的$D\rightarrow Pη^\rime$衰变振幅无法通过单一的$η_0$–$η_8$混合角,与其对应的$D\rightarrow Pη$衰变振幅建立简单关联。我们提出了一种新颖且自洽的$η_0$–$η_8$混合处理方案,适用于$D\to Pη$和$D\to Pη^\rime$衰变研究。基于该框架,我们利用包含线性破缺效应的SU(3)$_F$对称性,对$D\rightarrow Pη^\rime$衰变开展了全局分析。研究发现,与允许50\% SU(3)$_F$破缺的拟合(该拟合可完美描述实验数据)相比,假设30\% SU(3)$_F$破缺的情形与实验数据存在轻微的张力($2.5σ$)。为便于未来进一步检验SU(3)$_F$破缺效应,我们给出了所有$D\rightarrow Pη'$衰变模式的分支比预言。其中,$\u27e8D_s^+\rightarrow K^+η^\rime\u27e9$和$\u27e8D^+\rightarrow K^+η'\u27e9$的分支比预言与当前实验数据存在偏差。因此,未来对这些衰变道开展更精确的测量,对于厘清SU(3)$_F$展开在非轻$D\rightarrow Pη^\rime$衰变中的适用程度至关重要。

英文摘要:

We show that $D\rightarrow Pη^\prime$ decay amplitudes, where $P=K,π,η$, cannot be simply related to their $D\rightarrow Pη$ counterparts with a single $η_0$--$η_8$ mixing angle. We propose a novel, consistent treatment of $η_0$--$η_8$ mixing for application in $D\to Pη$ and $D\to Pη^\prime$ decays. Using this framework, we perform a global analysis of $D\rightarrow Pη^\prime$ decays employing SU(3)$_F$ symmetry including linear SU(3)$_F$ breaking. We find that the assumption of 30\% SU(3)$_F$ breaking is in slight tension ($2.5σ$) with the data when compared to a fit that allows for 50\% SU(3)$_F$ breaking, the latter giving a perfect description of the data. In order to allow for further scrutinization of SU(3)$_F$-breaking effects in the future, we give branching ratio predictions for all $D\rightarrow Pη'$ modes. Our predictions deviate from the current data in case of the branching ratios $\mathcal{B}(D_s^+\rightarrow K^+η^\prime)$ and $\mathcal{B}(D^+\rightarrow K^+η')$. Future more precise measurements of these channels are therefore highly important in order to clarify the quality of the SU(3)$_F$ expansion in nonleptonic $D\rightarrow Pη^\prime$ decays.

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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