Testable $(g-2{)}_{\mu }$ contribution due to a light stabilized radion in the Randall-Sundrum model

In this paper we calculate the $(g-2{)}_{\mu }$ contribution due to a light stabilized radion using the radion couplings both to the kinetic energy and the mass term of the muon. We find that the $(g-2{)}_{\mu }$ contribution due to radion diverges logarithmically with the cut off. We then show that the bound from precision EW data on radion phenomenology allows a sizable shift in the radion mediated muon anomaly that could be detected or tested with the present precision and certainly with the future precision for measuring muon anomaly.