  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.
