Abstract
We study the four-body decay in the Randall–Sundrum model with custodial protection (RSc). By considering the constraints coming from the direct searches of the lightest Kaluza–Klein (KK) excitation of the gluon, electroweak precision tests, the measurements of the Higgs signal strengths at the LHC and from ΔF = 2 flavor observables, we perform a scan of the parameter space of the RSc model and obtain the maximum allowed deviations of the Wilson coefficients for different values of the lightest KK gluon mass . Later, their implications on the observables such as differential branching fraction, longitudinal polarization of the daughter baryon Λ, forward–backward asymmetry with respect to leptonic, hadronic and combined lepton–hadron angles are discussed where we present the analysis of these observables in different bins of di-muon invariant mass squared s ( = q2). It is observed that with the current constraints the Wilson coefficients in the RSc model show slight deviations from their Standard Model values and hence cannot accommodate the discrepancies between the Standard Model calculations of various observables and the LHCb measurements in Λb decays.
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