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

TL;DR

This paper explores whether R-parity violating MSSM interactions can simultaneously explain anomalies in B meson decays and lepton universality violation, finding that constraints prevent a unified solution.

Contribution

It demonstrates that RPV MSSM can address certain B decay anomalies but cannot fully explain all observed anomalies due to severe experimental constraints.

Findings

RPV MSSM can explain $R(D^{(*)})$ anomaly

Constraints from $ar B o K u ar u$ prevent solving $b o s \mu^+\mu^-$ anomalies

Unified explanation for all anomalies is not feasible within RPV MSSM

Abstract

We investigate the possibility of explaining 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 interactions which are similar to leptoquark induced interactions that have been proposed to explain the $\bar B \to D^{(*)} \tau \bar \nu$ 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 $R(D^{(*)})$ 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.