Laboratory tests of Lorentz and CPT symmetry with muons

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.

24 pages two-column REVTeX, version published in Physical Review D

References in corpus (13)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Matter-gravity couplings and Lorentz violation
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Constraints on Torsion from Lorentz Violation
• Preferred-Frame and CP-Violation Tests with Polarized Electrons
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Classical kinematics for Lorentz violation
• New Bounds on Isotropic Lorentz Violation
• Astrophysical Limits on Lorentz Violation for All Charged Species
• Effects of vectorlike leptons on $h\to 4\ell$ and the connection to the muon g-2 anomaly
• Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment

Cited by in corpus (30)

• The Proton Radius Puzzle
• Lorentz-violating spinor electrodynamics and Penning traps
• New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
• Lorentz violation in Dirac and Weyl semimetals
• Muon $g-2$: A review
• Precision measurement of the Lamb shift in Muonium
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Searches for beyond-Riemann gravity
• Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
• Muon anomalous magnetic moment in the standard model extension
• Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
• Science Case for the new High-Intensity Muon Beams HIMB at PSI
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Searching for CPT Violation with Neutral-Meson Oscillations
• Electroweak Corrections to the True Muonium Hyperfine Splitting
• Update of Muonium 1S-2S transition frequency
• Measurement of the $2S_{1/2},F$=$0\to 2P_{1/2},F$=$1$ transition in Muonium
• D-Oscillons in the Standard Model-Extension
• Hadronic Vacuum Polarization in True Muonium
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data
• Nonperturbative Lorentz Violation and Field Quantization
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
• Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
• On testing violations of Bose and $CPT$ symmetries via Dalitz plots and Dalitz `prism'
• Lorentz and CPT Tests using Penning Traps
• Penning-Trap Searches for Lorentz and CPT Violation
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen
• Relativistic spin precession in homogeneous background fields