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arXiv 2105.06207hep-phhep-ex
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$D\to K_{1}(\to Kππ)\ell^+ν_{\ell}$中的上下不对称性和角分布

Up-down Asymmetries and Angular Distributions in $D\to K_{1}(\to Kππ)\ell^+ν_{\ell}$

Lingzhu Bian, Liang Sun, Wei Wang

摘要:

利用螺旋度振幅技术,我们推导出衰变级联$D\to K_{1}(1270,1400)\ell^+ν_{\ell}\to (Kππ)\ell^+ν_{\ell} (\ell=e,μ)$的微分衰变宽度和角分布,其中电子和μ子的质量被明确地包括在内。使用一组的$D\to K_1$形状因子的唯象结果,我们计算的部分衰变宽度和分支分数的$D^0\to K_1^-\ell^+ν_{\ell}$和$D^+\to K_1^0\ell^+ν_{\ell}$,但发现${\cal B}(D\to K_1(1270)e^+ν_{e})$的结果是大于最近的BESIII测量约1.5倍。我们进一步证明了测量$D\to K_{1}e^+ν_e\to (Kππ)e^+ν_{e}$中的上下不对称性和测量$D\to K_{1}\ell^+ν_\ell\to (Kππ)\ell^+ν_{\ell}$中的角分布可以帮助确定$B\to K_1(\to Kππ)γ$中要求的强子振幅。基于LHCb几何接受的蒙特卡罗模拟,我们发现MC事件的角分布可以很好地描述。

英文摘要:

Using the helicity amplitude technique, we derive differential decay widths and angular distributions for the decay cascade $D\to K_{1}(1270,1400)\ell^+ν_{\ell}\to (Kππ)\ell^+ν_{\ell} (\ell=e,μ)$, in which the electron and muon mass is explicitly included. Using a set of phenomenological results for $D\to K_1$ form factors, we calculate partial decay widths and branching fractions for $D^0\to K_1^-\ell^+ν_{\ell}$ and $D^+\to K_1^0\ell^+ν_{\ell}$, but find that results for ${\cal B}(D\to K_1(1270)e^+ν_{e})$ are larger than recent BESIII measurements by about a factor 1.5. We further demonstrate that the measurement of up-down asymmetry in $D\to K_{1}e^+ν_e\to (Kππ)e^+ν_{e}$ and angular distributions in $D\to K_{1}\ell^+ν_\ell\to (Kππ)\ell^+ν_{\ell}$ can help to determine the hadronic amplitude requested in $B\to K_1(\to Kππ)γ$. Based on the Monte-Carlo simulation with the LHCb geometrical acceptance, we find that the angular distributions of MC events can be well described.

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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