B s →μ+μ− decay in the R-parity violating minimal supergravity

Abstract

We study B s →μ + μ − in the context of the R-parity violating minimal supergravity in the high-tan β regime. We find that the lowest value of the branching ratio can go well below the present LHCb sensitivity and hence B s →μ + μ − can even be invisible to the LHC. We also find that the present upper bound on Br (B s →μ + μ −) puts strong constraint on the minimal supergravity parameter space. The constraints become more severe if the upper bound is close to its standard model prediction.