Effects of Kaluza-Klein Excitations on g_{\mu}-2

TL;DR

This paper investigates how Kaluza-Klein excitations from extra dimensions influence the muon's anomalous magnetic moment, revealing their effects are highly sensitive to the number of extra dimensions and are generally too small to observe under certain models.

Contribution

It introduces a model that avoids Kaluza-Klein corrections to muon decay while still affecting g_{}-2, expanding understanding of extra-dimensional impacts on particle physics.

Findings

Kaluza-Klein effects on g_{}-2 depend strongly on the number of extra dimensions.

In models with quark-lepton generations on the 4D wall, effects are too small to detect due to constraints from muon decay.

A specific model is discussed that evades corrections to muon decay without suppressing effects on g_{}-2.

Abstract

An analysis of the effects associated with the Kaluza-Klein excitations of the photon and of the W and Z bosons on g_{\mu}-2 for d number of extra dimensions with large radius compactifications is given. The Kaluza-Klein effects on g_{\mu}-2 are found to be very sensitive to the number of extra dimensions. For models where the quark-lepton generations live on the 4D wall, it is shown that when the constraints from the Kaluza-Klein corrections to the Fermi constant are included, the effects of the Kaluza-Klein excitations to g_{\mu}-2 become too small to be observable. A model which evades Kaluza-Klein corrections to the muon decay \mu\to e\bar\nu_e\nu_{\mu} without suppression of their effects on g_{\mu}-2 is discussed.