We calculate bounds for the branching ratio of the $B_s^0\to \tau e$ decay, for the first time, in the context of flavor changing neutral currents mediated by a $Z^{\prime }$ gauge boson, which can arise from five extended models. In this sense, by using experimental measurements on the $B\to X_s\gamma$ decay and the $B_s^0\to {\mu }^{+}{\mu }^{-}$ process, we look for constraints of the $Z^{\prime }bs$ coupling, where the more restrictive bound is offered by the last one. On the other hand, by employing the experimental restriction on the $\tau \to eeē$ decay, the strength of the $Z^{\prime }\tau e$ coupling is estimated. Our analysis is based on the more recent experimental results on searches for the $Z^{\prime }$ gauge boson in ATLAS and CMS detectors. In addition, we revisited the $B_s^0\to \tau \mu ,\mu e$ meson decays by using different approaches not previously reported. The strengths of the $Z^{\prime }\tau \mu$ and $Z^{\prime }\mu e$ couplings were estimated by employing experimental restrictions on the $\tau \to \mu \mu \bar{\mu }$ decay and the $\mu -e$ conversion rate, respectively. Thus, we predict the following upper bounds: $B_s^0\to \tau e\sim 10^{-6}$, $B_s^0\to \tau \mu \sim 10^{-6}$ and $B_s^0\to \mu e\sim 10^{-11}$.

我们计算分支比的界限 ${乙}_{秒}^0\to \tau \mathrm{电子}$ 衰变，第一次，在由一个介导的风味改变中性电流的背景下 $Z^{\prime }$规范玻色子，可以从五个扩展模型中产生。从这个意义上说，通过使用实验测量$乙\to X_{秒}\gamma$ 衰变和 ${乙}_{秒}^0\to {\mu }^{+}{\mu }^{-}$ 过程，我们寻找约束 $Z^{\prime }乙秒$耦合，其中最后一个提供了更具限制性的界限。另一方面，通过对实验的限制$\tau \to \mathrm{电子}\mathrm{电子}ē$ 衰减，强度 $Z^{\prime }\tau \mathrm{电子}$估计耦合。我们的分析是基于最近关于搜索的实验结果$Z^{\prime }$ATLAS 和 CMS 探测器中的规范玻色子。此外，我们重新审视了${乙}_{秒}^0\to \tau \mu ,\mu \mathrm{电子}$介子通过使用以前未报道的不同方法衰变。的优势$Z^{\prime }\tau \mu$ 和 $Z^{\prime }\mu \mathrm{电子}$ 耦合是通过使用实验限制来估计的 $\tau \to \mu \mu \bar{\mu }$ 衰变和 $\mu -\mathrm{电子}$转化率，分别。因此，我们预测以下上限：${乙}_{秒}^0\to \tau \mathrm{电子}～10^{-6}$, ${乙}_{秒}^0\to \tau \mu ～10^{-6}$ 和 ${乙}_{秒}^0\to \mu \mathrm{电子}～10^{-11}$.