RD (∗) anomaly: A possible hint for natural supersymmetry with R-parity violation

Recently, several B-physics experiments have reported an appreciable deviation from the standard model (SM) in the tree-level observables RD(∗); the combined weighted average now stands at ≈4σ. We first show the anomaly necessarily implies model-independent collider signals of the form pp→bτν that should be expeditiously searched for at ATLAS/CMS as a complementary test of the anomaly. Next we suggest a possible interconnection of the anomaly with the radiative stability of the standard model Higgs boson and point to a minimal effective supersymmetric scenario with R-parity violation as the underlying cause. We also comment on the possibility of simultaneously explaining the recently reported RK(∗) anomaly in this setup.