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

We explain the enhancement in semileptonic decays of $\bar B \to D^{(*)} \tau \bar \nu$, the anomalies induced by $b\to s\mu^+\mu^-$ in $\bar B\to (K, K^*, \phi)\mu^+\mu^-)$ and violation of lepton universality in $R_K = Br(\bar B\to K \mu^+\mu^-)/Br(\bar B\to K e^+e^-)$ within the framework of R-parity violating (RPV) MSSM. Exchange of down type right-handed squark coupled to quarks and leptons yield the appropriate interactions. The Yukawa couplings have severe constraints from other rare processes in $B$ and $D$ decays, but a hierarchical structure can be chosen to fit the data. We discuss several future experiments that can help establish the proposed model. The most salient features involves observation of squark at around 1 TeV, a similar enhancement semileptonic decays for $\bar B \to (\rho, \pi)\tau \bar \nu, \bar B\to \tau \nu$ as that for $\bar B \to D^{(*)} \tau \bar \nu$ and lepton universality violation in $\bar B \to K(K^*) \tau^+\tau^-$ and $\bar B \to K(K^*) \tau^\pm \mu^{\mp}$ channels.