Consistency check of higher dimensional gravity compensation to anomalous magnetic moment
The precision measurement of the muon (g − 2) experiment has recently reported a deviation from the Standard Model. This requires an extension of the model and suggests underlying mechanisms. We consider that higher dimensional gravity results in the (g − 2) deviation. This effect would appear as Kaluza-Klein modes and Nambu-Goldstone modes on a 3-brane. These classical effects produce new compensation terms to the magnetic moment. In this paper, we perform a consistency check by comparing the results derived from the Born and Schrödinger approximations. The comparison reveals a similarity between KK-dilaton modes and brane stretching effect.