We investigate the contribution of extra dimensions to the muon anomalous magnetic moment by using an Arkani-Hamed–Dimopoulos–Dvali-type (ADD-type) 6-dimensional model. This approach analyzes the extent of the influence of classical brane fluctuations on the magnetic moment. When we consider that the brane fluctuations are static in time, they add new potential terms to the Schrödinger equation through the induced vierbein. This paper shows that the brane fluctuation is responsible for the brane stretching effect. This effect would be capable of reproducing the appropriate order for recent Brookhaven National Laboratory (BNL) measurements of the muon (g-2) deviation.

• Received 29 April 2005

DOI:https://doi.org/10.1103/PhysRevD.73.025010