B_s --> mu+ mu- decay in the R-parity violating minimal supergravity

Understand

We study B_s --> mu+ mu- in the context of the R-parity violating minimal supergravity in the high tan beta regime.

• We find that the lowest value of the branching ratio can go well below the present LHCb sensitivity and hence B_s --> mu+ mu- can even be invisible to the LHC.
• We also find that the present upper bound on Br(B_s --> mu+ mu-) 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.