Muon precession from the aspect of Dirac equations

TL;DR

This paper calculates muon precession frequencies using Dirac equations, incorporating quantum corrections and Lorentz violation effects to understand their impact on anomalous precession.

Contribution

It provides a direct wave-function based computation of muon precession, including quantum and Lorentz violation effects, which is a novel approach.

Findings

Quantum corrections affect muon precession frequency.

Lorentz violation terms influence precession perturbatively.

Method offers a new way to analyze muon anomalous precession.

Abstract

In this paper, we would like to compute the muon anomalous precession frequency through solving the wave functions of the Dirac equations straightforwardly. The precession of a (anti-)muon with an anomalous magnetic momentum term is calculated together with the quantum corrections. Lorentz violation terms up to the lowest non-trivial order is introduced, and their effects on anomalous precession are evaluated perturbatively.