Using data collected with the D0 detector at the Fermilab Tevatron Collider, corresponding to $5.3{\mathrm{fb}}^{-1}$ of integrated luminosity, we search for violation of Lorentz invariance by examining the $t\overline{t}$ production cross section in $\mathrm{\text{lepton}}+\mathrm{\text{jets}}$ final states. We quantify this violation using the standard-model extension framework, which predicts a dependence of the $t\overline{t}$ 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 $(c_Q{)}_{\mu \nu 33}$ and $(c_U{)}_{\mu \nu 33}$ 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.

• Received 29 March 2012

DOI:https://doi.org/10.1103/PhysRevLett.108.261603