bands. The horizintal line in the second panel represents the central value of $P_{\tau}^{D^{\ast}}$ reported by BELLE.[]{data-label="NP2"}](rd_ptd_vlttlt_1sig_95cl.png "fig:"){width="4.3cm" height="4.3cm"} ![The allowed NP parameter space (leftmost panels) at $95\%$ (blue) CL from $R_D$, $R_{D^{\ast}}$, and $R_{J/\Psi}$ measurements. The corresponding allowed ranges in $(R_D,\,P_{\tau}^D)$, $(R_{D^{\ast}},\,P_{\tau}^{D^{\ast}})$, and $(R_{J/\Psi},\,P_{\tau}^{J/\Psi})$ are shown with blue dots. The experimental $1\sigma$ range of $R_D$, $R_{D^{\ast}}$, and $R_{J/\Psi}$ are shown with light red bands. The horizintal line in the second panel represents the central value of $P_{\tau}^{D^{\ast}}$ reported by BELLE.[]{data-label="NP2"}](rjpsi_ptjpsi_vlttlt_1sig_95cl.png "fig:"){width="4.3cm" height="4.3cm"}

conclusion {#con}
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In view of the recent result of $R_{J/\Psi}$, we investigate $R_D$, $R_{D^{\ast}}$, and $R_{J/\Psi}$ anomalies using a model-independent framework. We consider total $55$ NP models consisting of single as well as double NP coefficients and evaluate $\chi^2_{\rm min}$ by including three measurements, namely, $R_D$, $R_{D^{\ast}}$, and $R_{J/\Psi}$. We find various NP models that can simultaneously explain $R_D$, $R_{D^{\ast}}$, and $R_{J/\Psi}$ anomalies within $1\sigma$. We also give prediction on the $\tau$ polarization fraction parameter for all these decay modes in each NP scenarios. It should be noted that a more precise measurement on $P_{\tau}^{D^{\ast}}$ in future will be crucial to identify the true nature of NP. Again, in view of the immense importance of $R_D$, 