B¯s→μ+μ- decay in the Randall-Sundrum model

We investigate the B¯_s→μ⁺μ^- decay in the presence of a light stabilized radion in Randall-Sundrum model. The branching ratio BR(B¯_s→μ⁺μ^-) in the standard model is found to be 3.17×10^-9 (two order smaller than the experimental upper bound) and raises the question whether some new physics can play a crucial role or not. We found that for a reasonable range of parameters (i.e. radion mass m_ϕ and radion vev ⟨ϕ⟩), the above deficit between the experimental bound and the standard model result can well be accomodated. Using this upper bound on BR(B¯_s→μ⁺μ^-), we obtain the lower bound on ⟨ϕ⟩.