Muon anomalous magnetic moment (g−2)μ and the Randall–Sundrum model

We study the effects of the Kaluza–Klein gravitons in the Randall–Sundrum model on the recent BNL measurements of the muon (g−2) deviation from the standard model prediction. By examining the J-partial wave unitarity bounds of the elastic process γγ→γγ, the cut-off on the number of massive KK gravitons, nc, has been introduced. We found that the recently measured Δaμ can be accommodated in the RS model, within the natural parameter space allowed by the perturbative unitarity. For example, dozens (hundreds) of the nc for Λπ=1∼2 TeV (3 TeV) can explain the reported Δaμ.