Signals for $CPT$ and Lorentz violation in neutral-meson oscillations

Abstract

Experimental signals for indirect $CPT$ violation in the neutral-meson systems are studied in the context of a general $CPT$- and Lorentz-violating standard-model extension. In this explicit theory, some $CPT$ observables depend on the meson momentum and exhibit diurnal variations. The consequences for $CPT$ tests vary significantly with the specific experimental scenario. The wide range of possible effects is illustrated for two types of $CPT$ experiments presently underway, one involving boosted uncorrelated kaons and the other involving unboosted correlated kaon pairs.