THE INCLUSIVE SEMI-LEPTONIC $\bar B \to X_s \mu^+ \mu^-$ AND LEPTONIC $\bar{B}_s \rightarrow \mu^+ \mu^-$ DECAYS IN THE PRESENCE OF A LIGHT STABILIZED RADION IN RANDALL–SUNDRUM MODEL

Abstract

The Belle collaboration has reported [Formula: see text] for the inclusive decay [Formula: see text]. Recently, the LHCb and the CMS collaboration has released the combined limit [Formula: see text]. The standard model results of the [Formula: see text] and [Formula: see text] are found to be within the 1σ of the experimental result. Taking a conservative viewpoint, we use these decays to constrain the braneworld Randall–Sundrum model. The stabilized radion in the Randall–Sundrum model, which is an electro-weak singlet, can cause the flavor changing neutral current (FCNC) b →s transition at the oneloop level. We investigate the possible impact of a stabilized radion on the above two decays and obtain the possible constraints on the radion vev 〈ϕ〉 for an ultra-light radion.