Laboratory tests of Lorentz and CPT symmetry with muons

TL;DR

This paper investigates testing Lorentz and CPT symmetry in the muon sector through spectroscopy and magnetic moment measurements, deriving constraints and exploring implications for fundamental physics anomalies.

Contribution

It introduces a comprehensive analysis including both renormalizable and nonrenormalizable Lorentz-violating operators, providing new constraints and experimental sensitivities.

Findings

First constraints on Lorentz and CPT violation coefficients from existing data

Estimated sensitivities for upcoming experiments

Discussion on Lorentz violation's role in resolving physics anomalies

Abstract

The prospects are explored for testing Lorentz and CPT symmetry in the muon sector via the spectroscopy of muonium and various muonic atoms, and via measurements of the anomalous magnetic moments of the muon and antimuon. The effects of Lorentz-violating operators of both renormalizable and nonrenormalizable dimensions are included. We derive observable signals, extract first constraints from existing data on a variety of coefficients for Lorentz and CPT violation, and estimate sensitivities attainable in forthcoming experiments. The potential of Lorentz violation to resolve the proton radius puzzle and the muon anomaly discrepancy is discussed.