Investigating $R_D$ and $R_{D^{\ast }}$ anomalies in a Left-Right model with an Inverse Seesaw

We investigate $R_D$ and $R_{D^{\ast }}$ anomalies in a low scale left-right symmetric model based on $SU(3{)}_C\times SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$ with a simplified Higgs sector consisting of only one bidoublet and one $SU(2{)}_R$ doublet. The Wilson coefficients relevant to the transition $b\to c\tau \nu$arederivedbyintegratingoutthechargedHiggs$H^\pm$ boson, which gives the dominant contributions. We emphasize that the charged Higgs effects, with the complex right-handed quark mixing matrix, can account for both $R_D$ and $R_{D^{\ast }}$ anomalies simultaneously, while adhering to a set of significant constraints including, for instance, ${\rm BR}(B^-c \to \tau^- \bar{\nu}\tau) $and$B_{s(d)}-\bar B_{s(d)}$ mixing. In relation to this, we show that the predicted values of the $D^{\ast }$, $\tau$ longitudinal polarizations and $P_{\tau }(D)$ can be affected for the set of the parameters of the model resolving the $R_{D,D^{\ast }}$ anomalies.