Similarity of the gravitational contributions to anomalous magnetic moment

Abstract

A precise measurement of a muon $(g-2)$ experiment recently reported a deviation from the Standard Model. This implies the need to an extension of the model and suggests underlying mechanisms. We hypothesize that the influence of higher dimensional gravity causes this $(g-2)$ deviation. This effect would appear as Kaluza-Klein modes and Nambu-Goldstone modes on a 3-brane. These classical effects produce new contributions to the magnetic moment. In this paper, we perform a consistency check by comparing the results derived from the Born and Schrödinger approximations. This comparison reveals a similarity between KK-dilaton modes and the brane stretching effect.

Comments: 8 pages, 2 figures, minor corrections, title changed, accepted for Progress of Theoretical Physics