The First Lunar Ranging Constraints on Gravity Sector SME Parameters
James B. R. Battat, John F. Chandler, Christopher Stubbs

TL;DR
This study uses over three decades of Lunar Laser Ranging data to set the first constraints on Lorentz-violating parameters in the gravity sector of the Standard-Model Extension, finding no evidence of violation.
Contribution
It provides the first experimental constraints on pure-gravity SME parameters using LLR data, improving understanding of Lorentz symmetry in gravity.
Findings
Constraints on six SME parameters at levels of 10^{-6} to 10^{-11}
No evidence for Lorentz violation in gravity from LLR data
Extended the bounds on Lorentz-violating effects in the gravitational sector
Abstract
We present the first constraints on pure-gravity sector Standard-Model Extension (SME) parameters using Lunar Laser Ranging (LLR). LLR measures the round trip travel time of light between the Earth and the Moon. With 34+ years of LLR data, we have constrained six independent linear combinations of SME parameters at the level of to . There is no evidence for Lorentz violation in the LLR dataset.
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