Search for violation of Lorentz invariance in top quark pair production and decay

Abstract

Using data collected with the D0 detector at the Fermilab Tevatron Collider, corresponding to $5.3 \text{fb}^{−1}$ of integrated luminosity, we search for violation of Lorentz invariance by examining the $t\bar{t}$ production cross section in lepton+jets final states. We quantify this violation using the standard-model extension framework, which predicts a dependence of the $t\bar{t}$ production cross section on sidereal time as the orientation of the detector changes with the rotation of the Earth. Within this framework, we measure components of the matrices $(c_{Q})_{μν33}$ and $(c_{U})_{μν33}$ containing coefficients used to parametrize violation of Lorentz invariance in the top quark sector. Within uncertainties, these coefficients are found to be consistent with zero.