The g−2 of the muon in localized gravity models

The (g−2) of the muon is well known to be an important model building constraint on theories beyond the Standard Model. In this Letter, we examine the contributions to (g−2)μ arising in the Randall–Sundrum model of localized gravity for the case where the Standard Model gauge fields and fermions are both in the bulk. Using the current experimental world average measurement for (g−2)μ, we find that strong constraints can be placed on the mass of the lightest gauge Kaluza–Klein excitation for a narrow part of the allowed range of the assumed universal 5-dimensional fermion mass parameter, ν. However, employing both perturbativity and fine-tuning constraints we find that we can further restrict the allowed range of the parameter ν to only one fourth of its previous size. The scenario with the SM in the RS bulk is thus tightly constrained, being viable for only a small region of the parameter space.