Our main objective is to derive the decay rate for the semileptonic decays $D\to V{\ell }^{+}{\nu }_{\ell }(\ell =e,\mu )$, where $V$ represents a vector particle. In these decays, the vector particle $V$ decays into three pseudoscalar particles. To accomplish this, we evaluate the phase-space factor for the five-body decay with a set of eight independent variables which uniquely define a point in the phase space. We further conduct a detailed investigation of the $D\to \omega {\ell }^{+}{\nu }_{\ell }$, where $\omega$ subsequently decays into ${\pi }^{+}{\pi }^{-}{\pi }^0$, within the Standard Model and in a general effective field theory description of the weak interactions at low energies. The outcomes of this study have potential applications in the measurement of $D\to \omega$ form factors. These measurements can be performed using data obtained from BESIII.

中文翻译：

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五体 D→V 半轻衰变


我们的主要目标是推导出半轻衰变的衰变率 $D\to V{\ell }^{+}{\nu }_{\ell }(\ell =e,\mu )$ ， 在哪里 $V$ 代表一个矢量粒子。在这些衰变中，矢量粒子 $V$ 衰变成三个赝标量粒子。为了实现这一目标，我们使用一组八个独立变量来评估五体衰变的相空间因子，这些变量唯一地定义了相空间中的一个点。我们进一步对此事进行了详细调查 $D\to \omega {\ell }^{+}{\nu }_{\ell }$ ， 在哪里 $\omega$ 随后衰变成 ${\pi }^{+}{\pi }^{-}{\pi }^0$ ，在标准模型内和低能量弱相互作用的一般有效场论描述中。这项研究的结果在测量 $D\to \omega$ 外形因素。这些测量可以使用从 BESIII 获得的数据来执行。