Um estudo sobre a influência da gravitação na medição do fator giromagnético do múon

Abstract

This work aims to study the spin precession of an electrically charged particle rotating in a magnetic storage ring. We intend to discuss the influence of gravity on the dynamics of this system. Our motivation is based on recent experiments, carried out at Fermilab, in which incompatibilities were detected in the measurement of the muon’s gyromagnetic factor in relation to the theoretical predictions of the standard model. We would like to investigate whether a modified theory of gravitation, such as the theory of extra dimensions, could explain or alleviate this discrepancy. To do this, we will follow a semi-classical approach to describing spin. Initially we will discuss the case without gravitation, that is, of a particle moving under the action of an electromagnetic field in a Minkowski spacetime. The inclusion of gravitation will be done by adapting the equation of motion to a curved space using the tetrad formalism, which allows us to make the transformation between the particle and laboratory frames of reference.