The puzzles in $B\to ππ$ and $ πK$ decays: possible implications for R-parity violating supersymmetry

Recent experiments suggest that certain data of $B \to \pi\pi,~\pi K$ decays are inconsistent with the standard model expectations. We try to explain the puzzles in context of R-parity violating suppersymmetry. By employing the QCD factorization approach, we study these decays in the minimal supersymmetric standard model with R-parity violation. We show that R-parity violating can resolve the discrepancies in both $B \to \pi\pi$ and $B \to \pi K$, and find some parameter spaces satisfying all these requirements including the CP averaged branching ratios and the direct CP asymmetries. Furthermore, we have derived stringent bounds on relevant R-parity violating couplings from the latest experimental data, the most of these constraints are stronger than the existing bounds.