Studying double charm decays of Bu,d and Bs mesons in the MSSM with R-parity violation

Motivated by the possible large direct CP asymmetry of B̄d ₀→D+D- decays measured by the Belle Collaboration, we investigate double charm Bu,d and Bs decays in the minimal supersymmetric standard model with R-parity violation. We derive the bounds on relevant R-parity violating couplings from the current experimental data, which show quite consistent measurements among relative collaborations. Using the constrained parameter spaces, we explore R-parity violating effects on other observables in these decays, which have not been measured or have not been well measured yet. We find that the R-parity violating effects on the mixing-induced CP asymmetries of B̄d₀→D(*)+D(*)- and B̄s₀→Ds(*)+Ds(*)- decays could be very large; nevertheless, the R-parity violating effects on the direct CP asymmetries could not be large enough to explain the large direct CP violation of B̄d ₀→D+D- from Belle. Our results could be used to probe R-parity violating effects and will correlate with searches for direct R-parity violating signals in future experiments.