The anomalies in the measurements of $R_D$ and $R_{D^{⁎}}$ continue to provide motivation for physics beyond the Standard Model. In this work, we assume the new physics Wilson coefficients to be complex and find their values by doing a global fit to the present $b\to c\tau \overline{\nu }$ data. We find that the number of allowed solutions depend on the choice of the upper limit on $Br(B_c\to \tau \overline{\nu })$. We find that the forward-backward asymmetries in $B\to (D,D^{⁎})\tau \overline{\nu }$ decays have the capability to distinguish between different solutions. Further we calculate the maximum values of CP violating triple product asymmetries in $B\to D^{⁎}\tau \overline{\nu }$ decay allowed by the current data. We observe that only one of the three CP asymmetries can be enhanced up to a maximum value of $\sim 2-3\text{\%}$ whereas the other asymmetries remain smaller.

测量的异常 ${\mathrm{[R}}_d$ 和 ${\mathrm{[R}}_{d^{⁎}}$继续为标准模型之外的物理学提供动力。在这项工作中，我们假设新的物理威尔逊系数是复杂的，并通过对当前进行全局拟合来找到它们的值。$b\to C\tau \overline{\nu }$数据。我们发现允许的解决方案的数量取决于上限的选择$乙\mathrm{[R}（{乙}_C\to \tau \overline{\nu }）$。我们发现前向后不对称$乙\to （d，d^{⁎}）\tau \overline{\nu }$衰减具有区分不同解的能力。此外，我们还计算了CP违反三元积不对称性的最大值$乙\to d^{⁎}\tau \overline{\nu }$当前数据允许的衰减。我们观察到，只有三个CP不对称中的一个可以增强到最大$〜2-3\text{％}$ 而其他不对称性则保持较小。