New constraints on R-parity violating couplings through the measurements of the Bs(d)0-Bs(d)0 and K0-K0 mixing

We calculate contributions to Bs-Bs mixing through tree-level sneutrino exchange in the framework of the minimal supersymmetric standard model with R-parity violation, including the next-to-leading-order QCD corrections. We compare our results with the updated bounds on the Bs-Bs mass difference reported by CDF collaborations and present new constraints on the relevant combinations of parameters of the minimal supersymmetric standard model with R-parity violation. Our results show that upper bound on the relevant combination of couplings of Bs-Bs mixing is of the order 10-9. We also calculate the Bd0-Bd0 and K0-K0 mass differences and show that the upper bounds on the relevant combinations of couplings are 2 and 4 orders of magnitude stronger than ones reported in the literatures, respectively. We also discuss the case of complex couplings and show that how the relevant combinations of couplings are constrained by the updated experiment data of Bs-Bs, Bd-Bd mixing and time-dependent CP asymmetry SJ/ψKs, and future possible observations of SJ/ψφ at the Large Hadron Collider beauty experiment (LHCb), respectively