The muon anomalous magnetic moment in the Randall-Sundrum model

TL;DR

This paper provides a comprehensive calculation of the muon's anomalous magnetic moment within the Randall-Sundrum model, highlighting the gauge-boson contributions and their dependence on model parameters using a full 5D approach.

Contribution

It offers the first complete 5D calculation of gauge-boson contributions to g-2 in the Randall-Sundrum model, including Higgs-exchange effects and parameter dependencies.

Findings

Gauge-boson contribution to muon g-2 is approximately 8.8×10^-11 (1TeV/T)^2.

The gauge-boson contribution is robust against variations in bulk fermion masses and Yukawa couplings.

Higgs-exchange effects are strongly dependent on model parameters.

Abstract

We calculate the anomalous magnetic moment of the muon in the minimal Randall-Sundrum model with standard model fields in five-dimensional (5D) warped space and a brane-localized Higgs. We use a fully 5D framework to compute the one-loop matching coefficients of the effective theory at the electroweak scale. The extra contribution to the anomalous magnetic moment from the model-independent gauge-boson exchange contributions \Delta a_\mu is approximately 8.8*10^-11 (1TeV/T)^2, where 1/T denotes the location of the TeV brane in conformal coordinates, and is related to the mass of the lowest gauge boson KK excitation, which is roughly 2.5T. The result constitutes the first complete determination of the gauge-boson contribution to g-2 and is robust against the variation of the bulk fermion masses and 5D Yukawa coupling. We also determine the strongly model-parameter dependent effect of Higgs-exchange diagrams.