Testing CPT and Lorentz Invariance with the Anomalous Spin Precession of the Muon

TL;DR

This paper explores how muon g-2 experiment data can test CPT and Lorentz invariance by detecting potential sidereal variations in muon spin precession frequencies, extending the Standard Model's scope.

Contribution

It proposes a novel analysis method to search for sidereal variations in muon anomaly frequency, testing fundamental symmetries with existing experimental data.

Findings

Sensitivity estimates for CPT/Lorentz violation parameters

Proposed analysis method for sidereal variation detection

Potential constraints on Standard Model extension parameters

Abstract

This article discusses tests of CPT and Lorentz invariance with data from the muon g-2 experiment at Brookhaven National Laboratory. According to an extension of the Standard Model by Kostelecky et al., CPT/Lorentz violating terms in the Lagrangian induce a shift of the anomaly frequency omega_a of muons in a magnetic field. This shift is predicted to be different for positive and negative muons and to oscillate with the Earth's sidereal frequency. We discuss the sensitivity of the g-2 experiment to different parameters of this Standard Model extension and propose an analysis method to search for sidereal variations of omega_a.