Search for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:math>and Lorentz Violation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mtext mathvariant="normal">−</mml:mtext><mml:msup><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup></mml:math>Oscillations with Dilepton Events

We report results of a search for $CPT$ and Lorentz violation in ${B}^{0}\mathrm{\text{\ensuremath{-}}}{\overline{B}}^{0}$ oscillations using inclusive dilepton events from $232\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\Upsilon}(4S)\ensuremath{\rightarrow}B\overline{B}$ decays recorded by the BABAR detector at the PEP-II $B$ Factory at SLAC. We find $2.8\ensuremath{\sigma}$ significance, compatible with no signal, for variations in the complex $CPT$ violation parameter $\mathsf{z}$ at the Earth's sidereal frequency and extract values for the quantities $\ensuremath{\Delta}{a}_{\ensuremath{\mu}}$ in the general Lorentz-violating standard-model extension. The spectral powers for variations in $\mathsf{z}$ over the frequency range $0.26\text{ }\text{ }{\mathrm{yr}}^{\ensuremath{-}1}$ to $2.1\text{ }\text{ }\mathrm{solar}\text{ }\mathrm{da}{\mathrm{y}}^{\ensuremath{-}1}$ are also compatible with no signal.

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