New limits on the Lorentz/CPT symmetry through fifty gravitational-wave events
Ziming Wang, Lijing Shao, Chang Liu

TL;DR
This study analyzes fifty gravitational-wave events to set new, tighter limits on Lorentz and CPT symmetry violations, which could indicate new physics beyond current theories.
Contribution
It provides the first comprehensive constraints on gravitational Lorentz invariance violation using multiple GW events, breaking degeneracies among coefficients and improving existing limits.
Findings
Tightened limits on 34 Lorentz-violating coefficients by factors of 2 to 7.
Demonstrated the effectiveness of using multiple GW events to constrain anisotropic birefringence.
Provided the most stringent bounds to date at mass dimensions 5 and 6.
Abstract
Lorentz invariance plays a fundamental role in modern physics. However, tiny violations of the Lorentz invariance may arise in some candidate quantum gravity theories. Prominent signatures of the gravitational Lorentz invariance violation (gLIV) include anisotropy, dispersion, and birefringence in the dispersion relation of gravitational waves (GWs). Using a total of 50 GW events in the GW transient catalogs GWTC-1 and GWTC-2, we perform an analysis on the anisotropic birefringence phenomenon. The use of multiple events allows us to completely break the degeneracy among gLIV coefficients and globally constrain the coefficient space. Compared to previous results at mass dimensions 5 and 6 for the Lorentz-violating operators, we tighten the global limits of 34 coefficients by factors ranging from to .
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