The B→Kπ puzzle and supersymmetric models

In the light of new experimental results on B→Kπ decays, we study the decay processes B→Kπ in the framework of both R-parity conserving (SUGRA) and R-parity violating supersymmetric models. We find that any possible deviations from the Standard Model indicated by the current data for the branching ratios and the direct CP asymmetries of B→Kπ can be explained in both R-parity conserving SUGRA and R-parity violating SUSY models. However, there is a difference between the predictions of both models to the time-dependent CP asymmetry observable SKSπ0 whose current experimental results include large uncertainties. We demonstrate that this difference can be useful for testing both models with more accurate data for SKSπ0 and ACP+− in the near future.