Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$

We investigate the possibility of explaining the enhancement in semileptonic decays of $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$, the anomalies induced by $b\to s\mu^+\mu^-$in$\bar B\to (K, K^*, \phi)\mu^+\mu^-$ and violation of lepton universality in $R_K=Br(\bar{B}\to K{\mu }^{+}{\mu }^{-})\mathrm{/}Br(\bar{B}\to K{e}^{+}{e}^{-})$ within the framework of R-parity violating (RPV) MSSM. Exchange of down type right-handed squark coupled to quarks and leptons yield interactions which are similar to leptoquark induced interactions that have been proposed to explain the $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ by tree level interactions and $b\to s \mu^+\mu^-$ anomalies by loop induced interactions, simultaneously. However, the Yukawa couplings in such theories have severe constraints from other rare processes in $B$ and $D$ decays. Although this interaction can provide a viable solution to $R(D^{(\ast )})$ anomaly, we show that with the severe constraint from $\bar{B}\to K\nu \bar{\nu }$, it is impossible to solve the anomalies in $b\to s \mu^+\mu^-$ process simultaneously.