Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging

Abstract

We present constraints on violations of Lorentz Invariance based on Lunar Laser Ranging (LLR) data. LLR measures the Earth-Moon separation by timing the round-trip travel of light between the two bodies, and is currently accurate to a few centimeters (parts in $10^{11}$ of the total distance). By analyzing archival LLR data under the Standard-Model Extension (SME) framework, we derived six observational constraints on dimensionless SME parameters that describe potential Lorentz-violation. We found no evidence for Lorentz violation at the $10^{-6}$ to $10^{-11}$ level in these parameters.

10 pages, 3 figures, Submitted to Phys. Rev. Letters

References in corpus (6)

• Lorentz-Violating Extension of the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• Progress in Lunar Laser Ranging Tests of Relativistic Gravity
• Signals for Lorentz Violation in Post-Newtonian Gravity
• The Search for Quantum Gravity Signals
• String Theory, Supersymmetry, Unification, and All That

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