$B_{s,d}^0 \to \mu\bar{\mu}$ and $B\to X_s\gamma$ in the R-parity violating MSSM

The recent measurements of $B_s^0 \to \mu\bar{\mu}$ decay candidates at the LHC consistent with the standard model rate, and the improving upper limits for $B_d^0 \to \mu\bar{\mu}$ can strongly constrain beyond the standard model physics. For example, in supersymmetric models with broken R-parity (RpV), they restrict the size of the new couplings. We use the combination of the public software packages SARAH and SPheno to derive new bounds on several combinations of R-parity violating couplings. We improve existing limits for the couplings which open tree-level decay channels and state new limits for combinations which induce loop contributions. This is the first study which performs a full one-loop analysis of these observables in the context of R-parity violation. It turns out that at one-loop despite the strong experimental limits only combinations of R-parity violating couplings are constrained which include third generation fermions. We compare our limits with those obtained via $B\to X_s\gamma$ and discuss the differences.